Implemetation of Peng-Robinson equation of state

added factories for FlowDevice and Wall objects

Updating `thermo/PengRobinsonMFPT` class addition.

-Adds `test/data/co2_PR_exmample.cti` for testing.
-Corrects typo in `src/thermo/PengRobinsonMFTP::setSpeciesCoeffs`
-Minor formatting changes (indentations)
-Change how `Vroot_` is initialized.

Updating ctml_writer.py to include acentric_factor
Updating a typo in PengRobinsonMFTP.cpp

Updating ctml_writer.py to add units for b_coeff

Updating ctml_writer.py to add units for b_coeff with correct
indentation

Correcting a mistake in the getActivityCoefficient subroutine

Updating PengRobinson_Test.cpp with accurate hard-coded values

Adding a test getPressure in PengRobinsonMFTP_Test.cpp file

Fixing tabs and spaces

Replacing 'doublereal' with 'double'

Fixing tabs and spaces in the CTI file

Adding comments and renaming few parameter names

Fixing tabs and spaces

Following modifications in the code are performed:

1. Fixing typos
2. Adding more detailed documentation
3. Deleting redundant variables

Fixing typos and comments in the cubic solver

Fixing typos in PengRobinsonMFTP.h

Replacing (molecularWt/rho) calculations by molarVolume() function

Modifying tests with tighter tolerances

Modifying comments and reference for cubic solver

Replacing sqrt(2) with math constant M_SQRT2

Modification in cubic solver with additional comments and removal of
redundant code

…tureFugacityTP

-Species coefficients were using phase critical termperature, rather than species critical temepratures.
-Fixing this required updates to regression tests.
-Removed commented code from previous commit (removing XML capabilities)

…on.h

- Creates CO2-PR phase in test/data/thermo-models.yaml
- Creates `PengRobinson_CO2` test in test/thermo/thermoFromYAML.cpp
- Fixes minor capitalization typo in PengRobinson:calculateAlpha

Deletes CO2 interaction parameters from co2_PR_example.yaml, such that
phase construction in PengRobinson_Test.cpp covers the cirtical property
lookup capabilities in PengRobinson::getCoeff. Note that this required
changing some of the regression test expected values, as the critical
properties don't correspond perfectly with the interaction parameters
previously stored in co2_PR_exmple.yaml.

This allows for error checking at the time of adding the alias, as well as
providing a public interface for adding aliases.

Implemetation of Peng-Robinson equation of state

added factories for FlowDevice and Wall objects

Updating `thermo/PengRobinsonMFPT` class addition.

-Adds `test/data/co2_PR_exmample.cti` for testing.
-Corrects typo in `src/thermo/PengRobinsonMFTP::setSpeciesCoeffs`
-Minor formatting changes (indentations)
-Change how `Vroot_` is initialized.

Updating ctml_writer.py to include acentric_factor
Updating a typo in PengRobinsonMFTP.cpp

Updating ctml_writer.py to add units for b_coeff

Updating ctml_writer.py to add units for b_coeff with correct
indentation

Correcting a mistake in the getActivityCoefficient subroutine

Updating PengRobinson_Test.cpp with accurate hard-coded values

Adding a test getPressure in PengRobinsonMFTP_Test.cpp file

Fixing tabs and spaces

Replacing 'doublereal' with 'double'

Fixing tabs and spaces in the CTI file

Adding comments and renaming few parameter names

Fixing tabs and spaces

Following modifications in the code are performed:

1. Fixing typos
2. Adding more detailed documentation
3. Deleting redundant variables

Fixing typos and comments in the cubic solver

Fixing typos in PengRobinsonMFTP.h

Replacing (molecularWt/rho) calculations by molarVolume() function

Modifying tests with tighter tolerances

Modifying comments and reference for cubic solver

Replacing sqrt(2) with math constant M_SQRT2

Modification in cubic solver with additional comments and removal of
redundant code

Cleaning up merge conflicts in src/thermo/PengRobinson.cpp
Cleaning up `addAlias` typos in src/thermo/ThermoFactory.cpp

1. g = h- T*s
2. cp = dH/dT at constant pressure using Finite difference method
3. molar enthalpy = \sum x_k h_k

-Temperature input not needed in PengRobinson:calculateAB
-Unused variable RT in PengRobinson_Test/totalEnthalpy
-Replacing duplicative code with call to calcualteAB

…solveCubic

function in MixtureFugacityTP class.

… public.

already defined in the parent class MixtureFugacityTP.

…ead everywhere.

thermo-models.yaml

explicit.

Co-authored-by: Ray Speth <speth@mit.edu>

Co-authored-by: Ray Speth <speth@mit.edu>

CTI/XML option is not implemented for Peng-Robinson EoS model.

'calculatePressureDerivatives'

and Peng-Robinson classes
1. Declared calcCriticalConditions() as virtual in MixtureFugacityTP class.
2. Moved all functions to calculate critical properties to the parent
   (MixtureFugacityTP) class.

… vector

point to the source of the error accurately

calculations and also rebasing with cantera/main

Co-authored-by: Ray Speth <speth@mit.edu>

Co-authored-by: Ray Speth <speth@mit.edu>

class to the PengRobinson class

characters

Co-authored-by: Ray Speth <speth@mit.edu>

Co-authored-by: Bryan W. Weber <bryan.w.weber@gmail.com>

Co-authored-by: Bryan W. Weber <bryan.w.weber@gmail.com>