From 76721883c6f2b1d15c39f0209974fed1a7d747bf Mon Sep 17 00:00:00 2001 From: Nanubala Gnana Sai <45007169+jonpsy@users.noreply.github.com> Date: Sat, 3 Jul 2021 17:08:00 +0000 Subject: [PATCH 01/11] Optimization works. --- .../rocket-injector-design-cpp.ipynb | 242 ++++++++++++++++++ 1 file changed, 242 insertions(+) create mode 100644 rocket_injector_design/rocket-injector-design-cpp.ipynb diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb new file mode 100644 index 00000000..6c57a7e3 --- /dev/null +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -0,0 +1,242 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "/**\n", + " * @file rocket-injector-design-cpp.ipynb\n", + " * \n", + " * This notebook demonstrates a practical application of Multi-Objective Optimizers. The design of the injector surface is\n", + " * modified to study its effect on thermal stability and combustion efficiency. The optimizer simultaneously balances these \n", + " * objectives to returns a set of optimal solutions.\n", + " *\n", + " * Also known as RE3-4-7 this problem has been taken from \"An Easy-to-use Real-world Multi-objective\n", + " * Optimization Problem Suite\" paper. For more info, visit: https://github.com/ryojitanabe/reproblems.\n", + " */" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#include \n", + "\n", + "#include \n", + "#include \"../utils/portfolio.hpp\"" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "// Header files to create and show the plot.\n", + "#define WITHOUT_NUMPY 1\n", + "#include \"matplotlibcpp.h\"\n", + "#include \"xwidgets/ximage.hpp\"\n", + "\n", + "namespace plt = matplotlibcpp;" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "using namespace ens;" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "using namespace ens::test;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1. Setup the problem.\n", + "\n", + "This problem aligns with NASA's larger goal of the Next Generation Launch Technology (NGLT) Program aimed at durable and high-performance launch systems. We desire high combustion efficiency while maintaining thermal conditions along the chamber walls.\n", + "\n", + "The design of the injector is directly related to these objectives. By controlling the design variables of the injector, we \n", + "\n", + "The variables concerning the design of the injector are:\n", + "\n", + "a) Hydrogen Flow Angle: The acute angle formed between the fuel and oxidiser.\n", + "b) Hydrogen Area: The area of the tube " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "class InjectorDesignProblem\n", + "{\n", + " public:\n", + " InjectorDesignProblem()\n", + " { /* Nothing to do here. */ }\n", + " \n", + " //! Get the starting point.\n", + " arma::mat GetInitialPoint()\n", + " {\n", + " return arma::mat(numVariables, 1, arma::fill::zeros);\n", + " }\n", + " \n", + " //! The maximum temperature at the injector face.\n", + " struct InjectorFaceHeatCap\n", + " {\n", + " InjectorFaceHeatCap() {}\n", + "\n", + " double Evaluate(const arma::mat& coords)\n", + " {\n", + " DesignVariables x(coords);\n", + " return 0.692 + (0.477 * x.Alpha) - (0.687 * x.HA) - (0.080 * x.OA) - (0.0650 * x.OPTT) - (0.167 * x.Alpha * x.Alpha)\n", + " - (0.0129 * x.HA * x.Alpha) + (0.0796 * x.HA * x.HA) - (0.0634 * x.OA * x.Alpha) - (0.0257 * x.OA * x.HA)\n", + " + (0.0877 * x.OA * x.OA) - (0.0521 * x.OPTT * x.Alpha) + (0.00156 * x.OPTT * x.HA) + (0.00198 * x.OPTT * x.OA)\n", + " + (0.0184 * x.OPTT * x.OPTT);\n", + " } \n", + " };\n", + " \n", + " //! Distance from inlet where 90% combustion is complete.\n", + " struct DistanceFromInlet\n", + " {\n", + " DistanceFromInlet() {}\n", + " \n", + " double Evaluate(const arma::mat& coords)\n", + " {\n", + " DesignVariables x(coords);\n", + " return 0.153 - (0.322 * x.Alpha) + (0.396 * x.HA) + (0.424 * x.OA) + (0.0226 * x.OPTT)\n", + " + (0.175 * x.Alpha * x.Alpha) + (0.0185 * x.HA * x.Alpha) - (0.0701 * x.HA * x.HA) - (0.251 * x.OA * x.Alpha)\n", + " + (0.179 * x.OA * x.HA) + (0.0150 * x.OA * x.OA) + (0.0134 * x.OPTT * x.Alpha) + (0.0296 * x.OPTT * x.HA)\n", + " + (0.0752 * x.OPTT * x.OA) + (0.0192 * x.OPTT * x.OPTT);\n", + " }\n", + " };\n", + " \n", + " //! The maximum temperature at the post tip.\n", + " struct PostTipHeatCap\n", + " {\n", + " PostTipHeatCap() {}\n", + " \n", + " double Evaluate(const arma::mat& coords)\n", + " {\n", + " DesignVariables x(coords);\n", + " return 0.370 - (0.205 * x.Alpha) + (0.0307 * x.HA) + (0.108 * x.OA) + (1.019 * x.OPTT)\n", + " - (0.135 * x.Alpha * x.Alpha) + (0.0141 * x.HA * x.Alpha) + (0.0998 * x.HA * x.HA) + (0.208 * x.OA * x.Alpha)\n", + " - (0.0301 * x.OA * x.HA) - (0.226 * x.OA * x.OA) + (0.353 * x.OPTT * x.Alpha) - (0.0497 * x.OPTT * x.OA)\n", + " - (0.423 * x.OPTT * x.OPTT) + (0.202 * x.HA * x.Alpha * x.Alpha) - (0.281 * x.OA * x.Alpha * x.Alpha)\n", + " - (0.342 * x.HA * x.HA * x.Alpha) - (0.245 * x.HA * x.HA * x.OA) + (0.281 * x.OA * x.OA * x.HA)\n", + " - (0.184 * x.OPTT * x.OPTT * x.Alpha) - (0.281 * x.HA * x.Alpha * x.OA);\n", + " }\n", + "\n", + " };\n", + "\n", + " //! Get objective functions.\n", + " std::tuple GetObjectives()\n", + " {\n", + " return std::make_tuple(InjectorFaceHeatCap{}, DistanceFromInlet{}, PostTipHeatCap{});\n", + " }\n", + " \n", + " private:\n", + " //! A wrapper for the design variables. Used for better\n", + " //! readibility.\n", + " struct DesignVariables\n", + " {\n", + " DesignVariables(const arma::mat& coords)\n", + " {\n", + " Alpha = coords[0];\n", + " HA = coords[1];\n", + " OA = coords[2];\n", + " OPTT = coords[3];\n", + " }\n", + " \n", + " //! Hydrogen flow angle.\n", + " double Alpha;\n", + " //! Hydrogen area.\n", + " double HA;\n", + " //! Oxygen area.\n", + " double OA;\n", + " //! Oxidiser Post Tip Thickness.\n", + " double OPTT;\n", + " };\n", + " \n", + " size_t numVariables = 4;\n", + " size_t numObjectives = 2;\n", + "};\n", + "\n", + "InjectorDesignProblem idp;\n", + "auto objectives = idp.GetObjectives();" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "const double lowerBound = 0;\n", + "const double upperBound = 1;\n", + "\n", + "DefaultMOEAD moead(300, // Population size.\n", + " 150, // Max generations.\n", + " 1.0, // Crossover probability.\n", + " 0.9, // Probability of sampling from neighbor.\n", + " 20, // Neighborhood size.\n", + " 20, // Perturbation index.\n", + " 0.5, // Differential weight.\n", + " 2, // Max childrens to replace parents.\n", + " 1E-10, // epsilon.\n", + " lowerBound, // Lower bound.\n", + " upperBound // Upper bound.\n", + " );\n", + "\n", + "arma::mat coords = idp.GetInitialPoint();" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "moead.Optimize(objectives, coords);" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "const arma::cube& paretoFront = moead.ParetoFront();" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "C++14", + "language": "C++14", + "name": "xcpp14" + }, + "language_info": { + "codemirror_mode": "text/x-c++src", + "file_extension": ".cpp", + "mimetype": "text/x-c++src", + "name": "c++", + "version": "14" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} \ No newline at end of file From 0efc27637595186adb166b29282626cf4a49a21b Mon Sep 17 00:00:00 2001 From: jonpsy Date: Sun, 11 Jul 2021 10:23:40 +0530 Subject: [PATCH 02/11] Some minor additions --- .../rocket-injector-design-cpp.ipynb | 138 ++++++++++++------ 1 file changed, 91 insertions(+), 47 deletions(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index 6c57a7e3..9131ae34 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -1,38 +1,37 @@ { "cells": [ { - "cell_type": "markdown", - "metadata": {}, + "cell_type": "code", + "execution_count": 13, "source": [ "/**\n", " * @file rocket-injector-design-cpp.ipynb\n", " * \n", " * This notebook demonstrates a practical application of Multi-Objective Optimizers. The design of the injector surface is\n", - " * modified to study its effect on thermal stability and combustion efficiency. The optimizer simultaneously balances these \n", - " * objectives to returns a set of optimal solutions.\n", + " * modified to study its effect on the thrust chamber environment and performance. The optimizer simultaneously balances these \n", + " * objectives to returns a set of Pareto optimal solutions.\n", " *\n", - " * Also known as RE3-4-7 this problem has been taken from \"An Easy-to-use Real-world Multi-objective\n", - " * Optimization Problem Suite\" paper. For more info, visit: https://github.com/ryojitanabe/reproblems.\n", + " * Also known as RE3-4-7, this problem has been taken from \"An Easy-to-use Real-world Multi-objective\n", + " * Optimization Problem Suite\" paper. For more information, visit: https://github.com/ryojitanabe/reproblems.\n", " */" - ] + ], + "outputs": [], + "metadata": {} }, { "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], + "execution_count": 2, "source": [ "#include \n", "\n", - "#include \n", - "#include \"../utils/portfolio.hpp\"" - ] + "#include " + ], + "outputs": [], + "metadata": {} }, { "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], + "execution_count": 3, "source": [ "// Header files to create and show the plot.\n", "#define WITHOUT_NUMPY 1\n", @@ -40,47 +39,83 @@ "#include \"xwidgets/ximage.hpp\"\n", "\n", "namespace plt = matplotlibcpp;" - ] + ], + "outputs": [], + "metadata": {} }, { "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], + "execution_count": 4, "source": [ "using namespace ens;" - ] + ], + "outputs": [], + "metadata": {} }, { "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], + "execution_count": 5, "source": [ "using namespace ens::test;" - ] + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "### 1. Background\n", + "\n", + "This problem aligns with NASA's larger goal of the **Next Generation Launch Technology (NGLT)** Program aimed at durable and high-performance launch systems. In a simplistic setting, a rocket system generally consists of two liquid propellants, an oxidiser ($O_2$) and fuel ($H_2$). These propellants are mixed with the help of an injector machine. The injector machine is connected directly to the combuston chamber where the reaction occur. \n", + "\n", + "\n", + "The mixing of $H_2$ and $O_2$ is inherently an [exothermic](https://en.wikipedia.org/wiki/Exothermic_process) phenomenon; it lets out heat. This reaction is the principle behind the take-off of rockets.\n", + "\n", + "$$ 2H_2 + O_2\\ -> 2H_2 O + 241.8 kJ$$\n", + "\n", + "Propellants mix\n", + "\n", + "\n" + ], + "metadata": {} }, { "cell_type": "markdown", - "metadata": {}, "source": [ - "### 1. Setup the problem.\n", + "### 2. Framing the problem.\n", "\n", - "This problem aligns with NASA's larger goal of the Next Generation Launch Technology (NGLT) Program aimed at durable and high-performance launch systems. We desire high combustion efficiency while maintaining thermal conditions along the chamber walls.\n", "\n", + "#### I. Design Variables\n", "The design of the injector is directly related to these objectives. By controlling the design variables of the injector, we \n", "\n", "The variables concerning the design of the injector are:\n", "\n", - "a) Hydrogen Flow Angle: The acute angle formed between the fuel and oxidiser.\n", - "b) Hydrogen Area: The area of the tube " - ] + "a) Hydrogen Flow Angle ($\\alpha$) : The acute angle formed between the fuel and oxidiser.\n", + "\n", + "b) Hydrogen Area ($H.A$): The area of the tube\n", + "\n", + "c) Oxygen Area ($O.A$):\n", + "\n", + "d) Oxygen Post-Tip-Thickness ($O.P.T.T$): " + ], + "metadata": {} + }, + { + "cell_type": "markdown", + "source": [ + "#### II. Objective Functions\n", + "\n", + "a) Maximum Temperature At Injector Face:\n", + "\n", + "b) Distance From Inlet:\n", + "\n", + "c) " + ], + "metadata": {} }, { "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], + "execution_count": 6, "source": [ "class InjectorDesignProblem\n", "{\n", @@ -177,13 +212,13 @@ "\n", "InjectorDesignProblem idp;\n", "auto objectives = idp.GetObjectives();" - ] + ], + "outputs": [], + "metadata": {} }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], + "execution_count": 7, "source": [ "const double lowerBound = 0;\n", "const double upperBound = 1;\n", @@ -202,25 +237,34 @@ " );\n", "\n", "arma::mat coords = idp.GetInitialPoint();" - ] + ], + "outputs": [], + "metadata": {} }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], + "execution_count": 8, "source": [ "moead.Optimize(objectives, coords);" - ] + ], + "outputs": [], + "metadata": {} }, { "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], + "execution_count": 9, "source": [ "const arma::cube& paretoFront = moead.ParetoFront();" - ] + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [], + "outputs": [], + "metadata": {} } ], "metadata": { From 04fe9256bdaf2b51804182052245f0ed9285c1cf Mon Sep 17 00:00:00 2001 From: jonpsy Date: Sun, 11 Jul 2021 10:58:19 +0530 Subject: [PATCH 03/11] try png --- .../rocket-injector-design-cpp.ipynb | 16 +++++++++++++--- 1 file changed, 13 insertions(+), 3 deletions(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index 9131ae34..cdd8308c 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -73,9 +73,7 @@ "\n", "$$ 2H_2 + O_2\\ -> 2H_2 O + 241.8 kJ$$\n", "\n", - "Propellants mix\n", - "\n", - "\n" + "Propellants mix" ], "metadata": {} }, @@ -100,6 +98,18 @@ ], "metadata": {} }, + { + "cell_type": "markdown", + "source": [ + "![rocket-design.jpg](attachment:rocket-design.jpg)" + ], + "metadata": {}, + "attachments": { + "rocket-design.jpg": { + "image/jpeg": 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+ } + } + }, { "cell_type": "markdown", "source": [ From b3eb5210998733fe6b92c2c2eff78c0f9d24eb12 Mon Sep 17 00:00:00 2001 From: jonpsy Date: Sun, 11 Jul 2021 14:37:18 +0530 Subject: [PATCH 04/11] Download images from gdrive. --- .../rocket-injector-design-cpp.ipynb | 83 +++++++++++++++++-- 1 file changed, 76 insertions(+), 7 deletions(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index cdd8308c..8a57eba8 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 13, + "execution_count": 1, "source": [ "/**\n", " * @file rocket-injector-design-cpp.ipynb\n", @@ -61,6 +61,72 @@ "outputs": [], "metadata": {} }, + { + "cell_type": "code", + "execution_count": 6, + "source": [ + "!wget --no-check-certificate 'https://docs.google.com/uc?export=download&id=1_8a8kF9kJgIaAPYzIyqAf4t0ZSG5xftt' -O design.jpg" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "--2021-07-11 09:04:20-- https://docs.google.com/uc?export=download&id=1_8a8kF9kJgIaAPYzIyqAf4t0ZSG5xftt\n", + "Resolving docs.google.com (docs.google.com)... 172.217.21.142, 2a00:1450:400f:809::200e\n", + "Connecting to docs.google.com (docs.google.com)|172.217.21.142|:443... connected.\n", + "HTTP request sent, awaiting response... 302 Moved Temporarily\n", + "Location: https://doc-0s-10-docs.googleusercontent.com/docs/securesc/ha0ro937gcuc7l7deffksulhg5h7mbp1/dlum42o9rgr9caia43mk7m0djtpfhdf1/1625994225000/14561647146758490759/*/1_8a8kF9kJgIaAPYzIyqAf4t0ZSG5xftt?e=download [following]\n", + "Warning: wildcards not supported in HTTP.\n", + "--2021-07-11 09:04:21-- https://doc-0s-10-docs.googleusercontent.com/docs/securesc/ha0ro937gcuc7l7deffksulhg5h7mbp1/dlum42o9rgr9caia43mk7m0djtpfhdf1/1625994225000/14561647146758490759/*/1_8a8kF9kJgIaAPYzIyqAf4t0ZSG5xftt?e=download\n", + "Resolving doc-0s-10-docs.googleusercontent.com (doc-0s-10-docs.googleusercontent.com)... 216.58.207.193, 2a00:1450:400f:80b::2001\n", + "Connecting to doc-0s-10-docs.googleusercontent.com (doc-0s-10-docs.googleusercontent.com)|216.58.207.193|:443... connected.\n", + "HTTP request sent, awaiting response... 200 OK\n", + "Length: 24487 (24K) [image/jpeg]\n", + "Saving to: ‘design.jpg’\n", + "\n", + " 0K .......... .......... ... 100% 3.26M=0.007s\n", + "\n", + "2021-07-11 09:04:21 (3.26 MB/s) - ‘design.jpg’ saved [24487/24487]\n", + "\n" + ] + } + ], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": 7, + "source": [ + "!wget --no-check-certificate 'https://docs.google.com/uc?export=download&id=1QZPed9835iIcyfA4SdrIgtKLDHrc3XB1' -O objectives.jpg" + ], + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "--2021-07-11 09:04:22-- https://docs.google.com/uc?export=download&id=1QZPed9835iIcyfA4SdrIgtKLDHrc3XB1\n", + "Resolving docs.google.com (docs.google.com)... 172.217.21.142, 2a00:1450:400f:809::200e\n", + "Connecting to docs.google.com (docs.google.com)|172.217.21.142|:443... connected.\n", + "HTTP request sent, awaiting response... 302 Moved Temporarily\n", + "Location: https://doc-00-10-docs.googleusercontent.com/docs/securesc/ha0ro937gcuc7l7deffksulhg5h7mbp1/cpme9ka8vggr0egn6bcq2j7b7m4dlbuh/1625994225000/14561647146758490759/*/1QZPed9835iIcyfA4SdrIgtKLDHrc3XB1?e=download [following]\n", + "Warning: wildcards not supported in HTTP.\n", + "--2021-07-11 09:04:22-- https://doc-00-10-docs.googleusercontent.com/docs/securesc/ha0ro937gcuc7l7deffksulhg5h7mbp1/cpme9ka8vggr0egn6bcq2j7b7m4dlbuh/1625994225000/14561647146758490759/*/1QZPed9835iIcyfA4SdrIgtKLDHrc3XB1?e=download\n", + "Resolving doc-00-10-docs.googleusercontent.com (doc-00-10-docs.googleusercontent.com)... 216.58.207.193, 2a00:1450:400f:80b::2001\n", + "Connecting to doc-00-10-docs.googleusercontent.com (doc-00-10-docs.googleusercontent.com)|216.58.207.193|:443... connected.\n", + "HTTP request sent, awaiting response... 200 OK\n", + "Length: 35316 (34K) [image/jpeg]\n", + "Saving to: ‘objectives.jpg’\n", + "\n", + " 0K .......... .......... .......... .... 100% 3.07M=0.01s\n", + "\n", + "2021-07-11 09:04:23 (3.07 MB/s) - ‘objectives.jpg’ saved [35316/35316]\n", + "\n" + ] + } + ], + "metadata": {} + }, { "cell_type": "markdown", "source": [ @@ -101,14 +167,10 @@ { "cell_type": "markdown", "source": [ - "![rocket-design.jpg](attachment:rocket-design.jpg)" + "![](design.jpg)" ], "metadata": {}, - "attachments": { - "rocket-design.jpg": { - "image/jpeg": 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Design Variables\n", + "\n", "The design of the injector is directly related to these objectives. By controlling the design variables of the injector, we \n", "\n", "The variables concerning the design of the injector are:\n", @@ -167,10 +106,9 @@ { "cell_type": "markdown", "source": [ - "![](design.jpg)" + "![](media/design.jpg)" ], - "metadata": {}, - "attachments": {} + "metadata": {} }, { "cell_type": "markdown", @@ -188,13 +126,13 @@ { "cell_type": "markdown", "source": [ - "![](objectives.jpg)" + "![](media/objectives.jpg)" ], "metadata": {} }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 9, "source": [ "class InjectorDesignProblem\n", "{\n", @@ -297,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "source": [ "const double lowerBound = 0;\n", "const double upperBound = 1;\n", @@ -322,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "source": [ "moead.Optimize(objectives, coords);" ], @@ -331,7 +269,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 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diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index 1dfefda7..e7e4797e 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -66,18 +66,27 @@ "source": [ "### 1. Background\n", "\n", - "This problem aligns with NASA's larger goal of the **Next Generation Launch Technology (NGLT)** program aimed at durable and high-performance launch systems. In this section, we will \n", + "It was the June of 1962, the company Rocketdyne was tasked with heavy responsibility of sending man to the moon as per Kennedy's bold promise. NASA along with Rocketdyne, developed an F-1 engine capable of burning an fuel of olympic size swimming pool. On the D-day when the engines ignited and the rocket was ready to take off, the engines exploded and the failure was catastrophic.\n", "\n", - "A rocket system consists of two liquid propellants, namely the fuel ($H_2$) and oxidiser ($O_2$). These propellants are stored in separate tanks, and pumped into the combustion chamber. The chamber houses the exothermic reaction between the propellants to release energy vital for the take-off process.\n", + "**So, what went wrong?**\n", "\n", - "For the reaction to occur readily, an injector mechanism is installed which disperses these liquid propellants into tiny droplets and allow the mixing of the chemicals. A good injector design is makes all the difference between your system performing excellently and it exploding. See the figure below." + "Let's discuss the basics first.\n", + "\n", + "A rocket system consists of two liquid propellants, namely the fuel ($H_2$) and oxidiser ($O_2$). These propellants are stored in separate tanks, and pumped into the combustion chamber. The chamber houses the exothermic reaction between the propellants to release energy vital for the take-off process. For the reaction to occur readily, an injector mechanism is installed which disperses these liquid propellants into tiny droplets and allow the mixing of the chemicals.\n", + "\n", + "![](media/combustion.gif)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ - "![](media/combustion.gif)" + " **The Achilles heel**\n", + " \n", + " A good injector design makes all the difference between your system performing excellently and it exploding. Unfortunately, the latter was the case for the ambitious project. Thing is, the reaction between these propellants create extreme temperature and pressure environments. Thus, if the mixing is too aggressive or if the influx of propellants is uneven its very easy that the entire system to break down.\n", + " \n", + " \n", + " ![](media/unstable.gif)" ], "metadata": {} }, @@ -89,17 +98,15 @@ "\n", "#### I. Design Variables\n", "\n", - "The design of the injector is directly related to these objectives. By controlling the design variables of the injector, we \n", + "The design of the injector plays a key role in the mixing and stability of the system. \n", "\n", - "The variables concerning the design of the injector are:\n", + "a) **Hydrogen Flow Angle** ($\\alpha$) : The acute angle formed between the fuel and oxidiser. \n", "\n", - "a) Hydrogen Flow Angle ($\\alpha$) : The acute angle formed between the fuel and oxidiser.\n", + "b) **Hydrogen Area** ($H.A$): The area of the tube from which $H_2$ flows in.\n", "\n", - "b) Hydrogen Area ($H.A$): The area of the tube\n", + "c) **Oxygen Area** ($O.A$): The area of the tube from which $O_2$ flows in.\n", "\n", - "c) Oxygen Area ($O.A$):\n", - "\n", - "d) Oxygen Post-Tip-Thickness ($O.P.T.T$): " + "d) **Oxygen Post-Tip-Thickness** ($O.P.T.T$): The thickness of the annulus between the two propellants." ], "metadata": {} }, @@ -115,18 +122,22 @@ "source": [ "#### II. Objective Functions\n", "\n", - "a) Maximum Temperature At Injector Face:\n", + "All the objectives below should be **minimized**. Further, each of the following output have been normalized to [0, 1] range.\n", + "\n", + "a) **Maximum temperature at injector face** ($TF_{max}$): The variable name is self descriptive. Determines the thermal stability of the combustion chamber. \n", "\n", - "b) Distance From Inlet:\n", + "b) **Distance From inlet** ($X_{CC}$): The distance from the injector surface where 90% of the combustion is complete. Lesser values signifies quality mixing and high performance.\n", "\n", - "c) " + "c) **Maximum temperature at post tip** ($TT_{max}$): The temperature at the annulus of the propellants tubes. Similar to $TF_{max}$, this objective is to be minimized to prevent thermal breakdown." ], "metadata": {} }, { "cell_type": "markdown", "source": [ - "![](media/objectives.jpg)" + "![](media/objectives.jpg) \n", + "\n", + " " ], "metadata": {} }, @@ -224,7 +235,7 @@ " };\n", " \n", " size_t numVariables = 4;\n", - " size_t numObjectives = 2;\n", + " size_t numObjectives = 3;\n", "};\n", "\n", "InjectorDesignProblem idp;\n", @@ -277,10 +288,16 @@ "metadata": {} }, { - "cell_type": "code", - "execution_count": null, - "source": [], - "outputs": [], + "cell_type": "markdown", + "source": [ + "### References\n", + "\n", + "1. \"NASA's Baffling Engine Problem\", Youtube, uploaded by Primal Space, 13th March 2020, https://www.youtube.com/watch?v=xbvQBwnppQo.\n", + "2. \"LIQUID PROPELLANT ROCKET ENGINE/liquid rocket 3d animation/construction working/ LEARN FROM THE BASE\", Youtube, uploaded by Learn from the base. 12th September 2020, https://www.youtube.com/watch?v=9Y3fG-YrIII.\n", + "3. \"Rocket Fuel Injectors - Things Kerbal Space Program Doesn't Teach\", Youtube, uploaded by Scott Manley, 10th March 2020, https://www.youtube.com/watch?v=aa4ATJGRqA0.\n", + "4. Tanabe, Ryoji, and Hisao Ishibuchi. \"An easy-to-use real-world multi-objective optimization problem suite.\" Applied Soft Computing 89 (2020): 106078.\n", + "5. Vaidyanathan, Rajkumar, et al. \"Cfd-based design optimization for single element rocket injector.\" 41st Aerospace Sciences Meeting and Exhibit. 2003." + ], "metadata": {} } ], From e66bf8bcc76027dcf293961613b911d32bec2377 Mon Sep 17 00:00:00 2001 From: jonpsy Date: Tue, 13 Jul 2021 13:57:58 +0530 Subject: [PATCH 07/11] final touch done. --- .../rocket-injector-design-cpp.ipynb | 83 ++++++++++++++++--- 1 file changed, 71 insertions(+), 12 deletions(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index e7e4797e..3c960d86 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "source": [ "/**\n", " * @file rocket-injector-design-cpp.ipynb\n", @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "source": [ "#include \n", "\n", @@ -31,7 +31,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "source": [ "// Header files to create and show the plot.\n", "#define WITHOUT_NUMPY 1\n", @@ -45,7 +45,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "source": [ "using namespace ens;" ], @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "source": [ "using namespace ens::test;" ], @@ -83,9 +83,10 @@ "source": [ " **The Achilles heel**\n", " \n", - " A good injector design makes all the difference between your system performing excellently and it exploding. Unfortunately, the latter was the case for the ambitious project. Thing is, the reaction between these propellants create extreme temperature and pressure environments. Thus, if the mixing is too aggressive or if the influx of propellants is uneven its very easy that the entire system to break down.\n", - " \n", - " \n", + "A good injector design makes all the difference between your system performing excellently and it exploding. Unfortunately, the latter was the case for the ambitious project. \n", + "\n", + "Why so? The devil's in the details. The combustion process creates extreme temperature and pressure conditions inside the thrust chamber. Under such circumstances, the chamber is a very sensible high-pressure cooking pot. Thus, if the influx is off ever so slightly the flames would sway controllably burning down the entire system. \n", + "\n", " ![](media/unstable.gif)" ], "metadata": {} @@ -95,10 +96,12 @@ "source": [ "### 2. Framing the problem.\n", "\n", + "With the motivation established, let's begin by framing the problem. As discussed, the cornerstone of an ideal rocket system is its injector design. One can infer that the performance and quality of life of the system stand in stark contrast. Both of these are primarily controlled by injector design. This is where multi-objective optimizers kick in. In this notebook, we will try and find the optimal set of design variables to generate a set of [Pareto Optimal](https://www.investopedia.com/terms/p/pareto-efficiency.asp) solutions.\n", "\n", - "#### I. Design Variables\n", "\n", - "The design of the injector plays a key role in the mixing and stability of the system. \n", + "#### I. Design Variables \n", + "\n", + "The values are normalized to the range [0, 1].\n", "\n", "a) **Hydrogen Flow Angle** ($\\alpha$) : The acute angle formed between the fuel and oxidiser. \n", "\n", @@ -124,7 +127,7 @@ "\n", "All the objectives below should be **minimized**. Further, each of the following output have been normalized to [0, 1] range.\n", "\n", - "a) **Maximum temperature at injector face** ($TF_{max}$): The variable name is self descriptive. Determines the thermal stability of the combustion chamber. \n", + "a) **Maximum temperature at injector face** ($TF_{max}$): Pevent meltdown of the injector surface. Determines the thermal stability of the combustion chamber. \n", "\n", "b) **Distance From inlet** ($X_{CC}$): The distance from the injector surface where 90% of the combustion is complete. Lesser values signifies quality mixing and high performance.\n", "\n", @@ -143,7 +146,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "source": [ "class InjectorDesignProblem\n", "{\n", @@ -278,6 +281,14 @@ "outputs": [], "metadata": {} }, + { + "cell_type": "markdown", + "source": [ + "Store the optimal set of solutions in a ```arma::cube``` data structure. Each slice of the cube is a ```3 x 1``` matrix \n", + "representing a single set of optimal solution." + ], + "metadata": {} + }, { "cell_type": "code", "execution_count": null, @@ -287,6 +298,54 @@ "outputs": [], "metadata": {} }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "size_t populationSize = paretoFront.n_slices;\n", + "\n", + "std::vector X (populationSize, 0.), \n", + " Y (populationSize, 0.), \n", + " Z (populationSize, 0.);\n", + "\n", + "for (size_t idx = 0; idx < populationSize; ++idx)\n", + "{\n", + " X[idx] = paretoFront.slice(idx)(0);\n", + " Y[idx] = paretoFront.slice(idx)(1);\n", + " Z[idx] = paretoFront.slice(idx)(2);\n", + "}" + ], + "outputs": [], + "metadata": {} + }, + { + "cell_type": "code", + "execution_count": null, + "source": [ + "plt::figure_size(1000, 800);\n", + "plt::suptitle(\"Scatter Matrix of Pareto Fronts\");\n", + "plt::subplot(3, 1, 1);\n", + "plt::scatter(X, Y, 50);\n", + "plt::xlabel(\"InjectorFaceHeatCap\");\n", + "plt::ylabel(\"DistanceFromInlet\");\n", + "\n", + "plt::subplot(3, 1, 2);\n", + "plt::scatter(X, Z, 50);\n", + "plt::xlabel(\"InjectorFaceHeatCap\");\n", + "plt::ylabel(\"PostTipHeatCap\");\n", + "\n", + "plt::subplot(3, 1, 3);\n", + "plt::scatter(Y, Z, 50);\n", + "plt::xlabel(\"DistanceFromInlet\");\n", + "plt::ylabel(\"PostTipHeatCap\");\n", + "\n", + "plt::save(\"./scatter.png\");\n", + "auto im = xw::image_from_file(\"scatter.png\").finalize();\n", + "im" + ], + "outputs": [], + "metadata": {} + }, { "cell_type": "markdown", "source": [ From c9ee497d01020ea7d6a0f3ea61a8c8c01a91622e Mon Sep 17 00:00:00 2001 From: Nanubala Gnana Sai <45007169+jonpsy@users.noreply.github.com> Date: Tue, 13 Jul 2021 21:09:03 +0530 Subject: [PATCH 08/11] Update rocket_injector_design/rocket-injector-design-cpp.ipynb Co-authored-by: Marcus Edel --- rocket_injector_design/rocket-injector-design-cpp.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index 3c960d86..a0be7744 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -66,7 +66,7 @@ "source": [ "### 1. Background\n", "\n", - "It was the June of 1962, the company Rocketdyne was tasked with heavy responsibility of sending man to the moon as per Kennedy's bold promise. NASA along with Rocketdyne, developed an F-1 engine capable of burning an fuel of olympic size swimming pool. On the D-day when the engines ignited and the rocket was ready to take off, the engines exploded and the failure was catastrophic.\n", + "It was the June of 1962, the company Rocketdyne was tasked with the heavy responsibility of sending a man to the moon as per Kennedy's bold promise. NASA, along with Rocketdyne, developed an F-1 engine capable of burning fuel of Olympic size swimming pool. On the D-day, when the engines ignited and the rocket was ready to take off, the engines exploded and the failure was catastrophic.\n", "\n", "**So, what went wrong?**\n", "\n", @@ -376,4 +376,4 @@ }, "nbformat": 4, "nbformat_minor": 5 -} \ No newline at end of file +} From fc3a54a7340e85fe22ae77ad231201580c0deb72 Mon Sep 17 00:00:00 2001 From: Nanubala Gnana Sai <45007169+jonpsy@users.noreply.github.com> Date: Tue, 13 Jul 2021 21:09:35 +0530 Subject: [PATCH 09/11] Update rocket_injector_design/rocket-injector-design-cpp.ipynb Co-authored-by: Marcus Edel --- rocket_injector_design/rocket-injector-design-cpp.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index a0be7744..36050776 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -72,7 +72,7 @@ "\n", "Let's discuss the basics first.\n", "\n", - "A rocket system consists of two liquid propellants, namely the fuel ($H_2$) and oxidiser ($O_2$). These propellants are stored in separate tanks, and pumped into the combustion chamber. The chamber houses the exothermic reaction between the propellants to release energy vital for the take-off process. For the reaction to occur readily, an injector mechanism is installed which disperses these liquid propellants into tiny droplets and allow the mixing of the chemicals.\n", + "A rocket system consists of two liquid propellants, namely the fuel ($H_2$) and oxidiser ($O_2$). These propellants are stored in separate tanks, and pumped into the combustion chamber. The chamber houses the exothermic reaction between the propellants to release energy vital for the take-off process. For the reaction to occur readily, an injector mechanism is installed, which disperses these liquid propellants into tiny droplets and allow the mixing of the chemicals.\n", "\n", "![](media/combustion.gif)" ], From 321e25a87753edbebb3bcf4f19f22b0161d8a590 Mon Sep 17 00:00:00 2001 From: Nanubala Gnana Sai <45007169+jonpsy@users.noreply.github.com> Date: Tue, 13 Jul 2021 21:10:11 +0530 Subject: [PATCH 10/11] Update rocket_injector_design/rocket-injector-design-cpp.ipynb Co-authored-by: Marcus Edel --- rocket_injector_design/rocket-injector-design-cpp.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index 36050776..e7b58ec0 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -127,7 +127,7 @@ "\n", "All the objectives below should be **minimized**. Further, each of the following output have been normalized to [0, 1] range.\n", "\n", - "a) **Maximum temperature at injector face** ($TF_{max}$): Pevent meltdown of the injector surface. Determines the thermal stability of the combustion chamber. \n", + "a) **Maximum temperature at injector face** ($TF_{max}$): Prevent meltdown of the injector surface. Determines the thermal stability of the combustion chamber. \n", "\n", "b) **Distance From inlet** ($X_{CC}$): The distance from the injector surface where 90% of the combustion is complete. Lesser values signifies quality mixing and high performance.\n", "\n", From 0c5ff165fe2478775698a39dff162b9de5d95628 Mon Sep 17 00:00:00 2001 From: jonpsy Date: Wed, 14 Jul 2021 16:29:10 +0530 Subject: [PATCH 11/11] SHOW OUTPUT --- .../rocket-injector-design-cpp.ipynb | 204 ++++++++++++------ 1 file changed, 135 insertions(+), 69 deletions(-) diff --git a/rocket_injector_design/rocket-injector-design-cpp.ipynb b/rocket_injector_design/rocket-injector-design-cpp.ipynb index 3c960d86..1bac02d3 100644 --- a/rocket_injector_design/rocket-injector-design-cpp.ipynb +++ b/rocket_injector_design/rocket-injector-design-cpp.ipynb @@ -2,7 +2,9 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 1, + "metadata": {}, + "outputs": [], "source": [ "/**\n", " * @file rocket-injector-design-cpp.ipynb\n", @@ -14,24 +16,24 @@ " * Also known as RE3-4-7, this problem has been taken from \"An Easy-to-use Real-world Multi-objective\n", " * Optimization Problem Suite\" paper. For more information, visit: https://github.com/ryojitanabe/reproblems.\n", " */" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, + "metadata": {}, + "outputs": [], "source": [ "#include \n", "\n", "#include " - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, + "metadata": {}, + "outputs": [], "source": [ "// Header files to create and show the plot.\n", "#define WITHOUT_NUMPY 1\n", @@ -39,47 +41,46 @@ "#include \"xwidgets/ximage.hpp\"\n", "\n", "namespace plt = matplotlibcpp;" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, + "metadata": {}, + "outputs": [], "source": [ "using namespace ens;" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, + "metadata": {}, + "outputs": [], "source": [ "using namespace ens::test;" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "### 1. Background\n", "\n", - "It was the June of 1962, the company Rocketdyne was tasked with heavy responsibility of sending man to the moon as per Kennedy's bold promise. NASA along with Rocketdyne, developed an F-1 engine capable of burning an fuel of olympic size swimming pool. On the D-day when the engines ignited and the rocket was ready to take off, the engines exploded and the failure was catastrophic.\n", + "It was the June of 1962, the company Rocketdyne was tasked with the heavy responsibility of sending a man to the moon as per Kennedy's bold promise. NASA, along with Rocketdyne, developed an F-1 engine capable of burning fuel of Olympic size swimming pool. On the D-day, when the engines ignited and the rocket was ready to take off, the engines exploded and the failure was catastrophic.\n", "\n", "**So, what went wrong?**\n", "\n", "Let's discuss the basics first.\n", "\n", - "A rocket system consists of two liquid propellants, namely the fuel ($H_2$) and oxidiser ($O_2$). These propellants are stored in separate tanks, and pumped into the combustion chamber. The chamber houses the exothermic reaction between the propellants to release energy vital for the take-off process. For the reaction to occur readily, an injector mechanism is installed which disperses these liquid propellants into tiny droplets and allow the mixing of the chemicals.\n", + "A rocket system consists of two liquid propellants, namely the fuel ($H_2$) and oxidiser ($O_2$). These propellants are stored in separate tanks, and pumped into the combustion chamber. The chamber houses the exothermic reaction between the propellants to release energy vital for the take-off process. For the reaction to occur readily, an injector mechanism is installed, which disperses these liquid propellants into tiny droplets and allow the mixing of the chemicals.\n", "\n", "![](media/combustion.gif)" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ " **The Achilles heel**\n", " \n", @@ -88,11 +89,11 @@ "Why so? The devil's in the details. The combustion process creates extreme temperature and pressure conditions inside the thrust chamber. Under such circumstances, the chamber is a very sensible high-pressure cooking pot. Thus, if the influx is off ever so slightly the flames would sway controllably burning down the entire system. \n", "\n", " ![](media/unstable.gif)" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "### 2. Framing the problem.\n", "\n", @@ -110,43 +111,44 @@ "c) **Oxygen Area** ($O.A$): The area of the tube from which $O_2$ flows in.\n", "\n", "d) **Oxygen Post-Tip-Thickness** ($O.P.T.T$): The thickness of the annulus between the two propellants." - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "![](media/design.jpg)" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "#### II. Objective Functions\n", "\n", "All the objectives below should be **minimized**. Further, each of the following output have been normalized to [0, 1] range.\n", "\n", - "a) **Maximum temperature at injector face** ($TF_{max}$): Pevent meltdown of the injector surface. Determines the thermal stability of the combustion chamber. \n", + "a) **Maximum temperature at injector face** ($TF_{max}$): Prevent meltdown of the injector surface. Determines the thermal stability of the combustion chamber. \n", "\n", "b) **Distance From inlet** ($X_{CC}$): The distance from the injector surface where 90% of the combustion is complete. Lesser values signifies quality mixing and high performance.\n", "\n", "c) **Maximum temperature at post tip** ($TT_{max}$): The temperature at the annulus of the propellants tubes. Similar to $TF_{max}$, this objective is to be minimized to prevent thermal breakdown." - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "![](media/objectives.jpg) \n", "\n", " " - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, + "metadata": {}, + "outputs": [], "source": [ "class InjectorDesignProblem\n", "{\n", @@ -243,13 +245,13 @@ "\n", "InjectorDesignProblem idp;\n", "auto objectives = idp.GetObjectives();" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, + "metadata": {}, + "outputs": [], "source": [ "const double lowerBound = 0;\n", "const double upperBound = 1;\n", @@ -268,42 +270,92 @@ " );\n", "\n", "arma::mat coords = idp.GetInitialPoint();" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, + "metadata": {}, + "outputs": [], "source": [ "moead.Optimize(objectives, coords);" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ - "Store the optimal set of solutions in a ```arma::cube``` data structure. Each slice of the cube is a ```3 x 1``` matrix \n", - "representing a single set of optimal solution." - ], - "metadata": {} + "Now that the optimization procedure is completed. Let's inspect some of the optimal design variables for injector design. Remember, the algorithm produces a multiple set optimal design variables aka ```ParetoSet``` and its corresponding objective values ```ParetoFront```." + ] }, { "cell_type": "code", - "execution_count": null, - "source": [ - "const arma::cube& paretoFront = moead.ParetoFront();" + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Displaying one of the optimal design variables.\n", + "\n", + "Hydrogen flow angle: 0.0975331\n", + "Hydrogen area: 0.998602\n", + "Oxygen area: 0.587004\n", + "Oxygen post-tip-thickness: 0.00576975\n", + "\n", + "========================================\n", + "\n", + "Displaying the corresponding objective values.\n", + "\n", + "Maximum temperature at injector face: 0.0931923\n", + "Distance From inlet: 0.795782\n", + "Maximum temperature at post tip: 0.370252\n" + ] + } ], - "outputs": [], - "metadata": {} + "source": [ + "// Store the optimal design variables. Each slice of the cube represents a 4 x 1 matrix.\n", + "const arma::cube& paretoSet = moead.ParetoSet();\n", + "// Store the corresponding objective values. Each slice of the cube represents a 3 x 1 matrix.\n", + "const arma::cube& paretoFront = moead.ParetoFront();\n", + "size_t populationSize = paretoFront.n_slices;\n", + "\n", + "\n", + "// Index a random set of variables.\n", + "double randomIdx = arma::randi(arma::distr_param(0, populationSize - 1));\n", + "// Design variables.\n", + "double alpha = paretoSet.slice(randomIdx)(0);\n", + "double HA = paretoSet.slice(randomIdx)(1);\n", + "double OA = paretoSet.slice(randomIdx)(2);\n", + "double OPTT = paretoSet.slice(randomIdx)(3);\n", + "// Objective values.\n", + "double TF = paretoFront.slice(randomIdx)(0);\n", + "double X_CC = paretoFront.slice(randomIdx)(1);\n", + "double TT = paretoFront.slice(randomIdx)(2);\n", + "\n", + "\n", + "\n", + "std::cout << \"Displaying one of the optimal design variables.\\n\" << std::endl;\n", + "std::cout << \"Hydrogen flow angle: \" << alpha << std::endl;\n", + "std::cout << \"Hydrogen area: \" << HA << std::endl;\n", + "std::cout << \"Oxygen area: \" << OA << std::endl;\n", + "std::cout << \"Oxygen post-tip-thickness: \" << OPTT << std::endl;\n", + "std::cout << \"\\n\";\n", + "std::cout << \"========================================\\n\" << std::endl;\n", + "\n", + "std::cout << \"Displaying the corresponding objective values.\\n\" << std::endl;\n", + "std::cout << \"Maximum temperature at injector face: \" << TF << std::endl;\n", + "std::cout << \"Distance From inlet: \" << X_CC << std::endl;\n", + "std::cout << \"Maximum temperature at post tip: \" << TT << std::endl;" + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, + "metadata": {}, + "outputs": [], "source": [ - "size_t populationSize = paretoFront.n_slices;\n", - "\n", "std::vector X (populationSize, 0.), \n", " Y (populationSize, 0.), \n", " Z (populationSize, 0.);\n", @@ -314,13 +366,29 @@ " Y[idx] = paretoFront.slice(idx)(1);\n", " Z[idx] = paretoFront.slice(idx)(2);\n", "}" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "fdba1c67a4ad472a924a199827769beb", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "A Jupyter widget with unique id: fdba1c67a4ad472a924a199827769beb" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "plt::figure_size(1000, 800);\n", "plt::suptitle(\"Scatter Matrix of Pareto Fronts\");\n", @@ -342,12 +410,11 @@ "plt::save(\"./scatter.png\");\n", "auto im = xw::image_from_file(\"scatter.png\").finalize();\n", "im" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "### References\n", "\n", @@ -356,8 +423,7 @@ "3. \"Rocket Fuel Injectors - Things Kerbal Space Program Doesn't Teach\", Youtube, uploaded by Scott Manley, 10th March 2020, https://www.youtube.com/watch?v=aa4ATJGRqA0.\n", "4. Tanabe, Ryoji, and Hisao Ishibuchi. \"An easy-to-use real-world multi-objective optimization problem suite.\" Applied Soft Computing 89 (2020): 106078.\n", "5. Vaidyanathan, Rajkumar, et al. \"Cfd-based design optimization for single element rocket injector.\" 41st Aerospace Sciences Meeting and Exhibit. 2003." - ], - "metadata": {} + ] } ], "metadata": { @@ -376,4 +442,4 @@ }, "nbformat": 4, "nbformat_minor": 5 -} \ No newline at end of file +}

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