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subcell_limiters_2d.jl
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subcell_limiters_2d.jl
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# By default, Julia/LLVM does not use fused multiply-add operations (FMAs).
# Since these FMAs can increase the performance of many numerical algorithms,
# we need to opt-in explicitly.
# See https://ranocha.de/blog/Optimizing_EC_Trixi for further details.
@muladd begin
#! format: noindent
function calc_bounds_twosided_interface!(var_min, var_max, variable, u, t, semi,
mesh::StructuredMesh{2})
_, equations, dg, cache = mesh_equations_solver_cache(semi)
(; boundary_conditions) = semi
(; contravariant_vectors) = cache.elements
# Calc bounds at interfaces and periodic boundaries
for element in eachelement(dg, cache)
# Get neighboring element ids
left = cache.elements.left_neighbors[1, element]
lower = cache.elements.left_neighbors[2, element]
if left != 0
for j in eachnode(dg)
var_left = u[variable, nnodes(dg), j, left]
var_element = u[variable, 1, j, element]
var_min[1, j, element] = min(var_min[1, j, element], var_left)
var_max[1, j, element] = max(var_max[1, j, element], var_left)
var_min[nnodes(dg), j, left] = min(var_min[nnodes(dg), j, left],
var_element)
var_max[nnodes(dg), j, left] = max(var_max[nnodes(dg), j, left],
var_element)
end
end
if lower != 0
for i in eachnode(dg)
var_lower = u[variable, i, nnodes(dg), lower]
var_element = u[variable, i, 1, element]
var_min[i, 1, element] = min(var_min[i, 1, element], var_lower)
var_max[i, 1, element] = max(var_max[i, 1, element], var_lower)
var_min[i, nnodes(dg), lower] = min(var_min[i, nnodes(dg), lower],
var_element)
var_max[i, nnodes(dg), lower] = max(var_max[i, nnodes(dg), lower],
var_element)
end
end
end
# Calc bounds at physical boundaries
if isperiodic(mesh)
return nothing
end
linear_indices = LinearIndices(size(mesh))
if !isperiodic(mesh, 1)
# - xi direction
for cell_y in axes(mesh, 2)
element = linear_indices[begin, cell_y]
for j in eachnode(dg)
Ja1 = get_contravariant_vector(1, contravariant_vectors, 1, j, element)
u_inner = get_node_vars(u, equations, dg, 1, j, element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[1], Ja1, 1,
equations, dg, cache,
1, j, element)
var_outer = u_outer[variable]
var_min[1, j, element] = min(var_min[1, j, element], var_outer)
var_max[1, j, element] = max(var_max[1, j, element], var_outer)
end
end
# + xi direction
for cell_y in axes(mesh, 2)
element = linear_indices[end, cell_y]
for j in eachnode(dg)
Ja1 = get_contravariant_vector(1, contravariant_vectors, nnodes(dg), j,
element)
u_inner = get_node_vars(u, equations, dg, nnodes(dg), j, element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[2], Ja1, 2,
equations, dg, cache,
nnodes(dg), j, element)
var_outer = u_outer[variable]
var_min[nnodes(dg), j, element] = min(var_min[nnodes(dg), j, element],
var_outer)
var_max[nnodes(dg), j, element] = max(var_max[nnodes(dg), j, element],
var_outer)
end
end
end
if !isperiodic(mesh, 2)
# - eta direction
for cell_x in axes(mesh, 1)
element = linear_indices[cell_x, begin]
for i in eachnode(dg)
Ja2 = get_contravariant_vector(2, contravariant_vectors, i, 1, element)
u_inner = get_node_vars(u, equations, dg, i, 1, element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[3], Ja2, 3,
equations, dg, cache,
i, 1, element)
var_outer = u_outer[variable]
var_min[i, 1, element] = min(var_min[i, 1, element], var_outer)
var_max[i, 1, element] = max(var_max[i, 1, element], var_outer)
end
end
# - eta direction
for cell_x in axes(mesh, 1)
element = linear_indices[cell_x, end]
for i in eachnode(dg)
Ja2 = get_contravariant_vector(2, contravariant_vectors, i, nnodes(dg),
element)
u_inner = get_node_vars(u, equations, dg, i, nnodes(dg), element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[4], Ja2, 4,
equations, dg, cache,
i, nnodes(dg), element)
var_outer = u_outer[variable]
var_min[i, nnodes(dg), element] = min(var_min[i, nnodes(dg), element],
var_outer)
var_max[i, nnodes(dg), element] = max(var_max[i, nnodes(dg), element],
var_outer)
end
end
end
return nothing
end
function calc_bounds_onesided_interface!(var_minmax, minmax, variable, u, t, semi,
mesh::StructuredMesh{2})
_, equations, dg, cache = mesh_equations_solver_cache(semi)
(; boundary_conditions) = semi
(; contravariant_vectors) = cache.elements
# Calc bounds at interfaces and periodic boundaries
for element in eachelement(dg, cache)
# Get neighboring element ids
left = cache.elements.left_neighbors[1, element]
lower = cache.elements.left_neighbors[2, element]
if left != 0
for j in eachnode(dg)
var_left = variable(get_node_vars(u, equations, dg, nnodes(dg), j,
left), equations)
var_element = variable(get_node_vars(u, equations, dg, 1, j, element),
equations)
var_minmax[1, j, element] = minmax(var_minmax[1, j, element], var_left)
var_minmax[nnodes(dg), j, left] = minmax(var_minmax[nnodes(dg), j,
left], var_element)
end
end
if lower != 0
for i in eachnode(dg)
var_lower = variable(get_node_vars(u, equations, dg, i, nnodes(dg),
lower), equations)
var_element = variable(get_node_vars(u, equations, dg, i, 1, element),
equations)
var_minmax[i, 1, element] = minmax(var_minmax[i, 1, element], var_lower)
var_minmax[i, nnodes(dg), lower] = minmax(var_minmax[i, nnodes(dg),
lower],
var_element)
end
end
end
# Calc bounds at physical boundaries
if isperiodic(mesh)
return nothing
end
linear_indices = LinearIndices(size(mesh))
if !isperiodic(mesh, 1)
# - xi direction
for cell_y in axes(mesh, 2)
element = linear_indices[begin, cell_y]
for j in eachnode(dg)
Ja1 = get_contravariant_vector(1, contravariant_vectors, 1, j, element)
u_inner = get_node_vars(u, equations, dg, 1, j, element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[1], Ja1, 1,
equations, dg, cache,
1, j, element)
var_outer = variable(u_outer, equations)
var_minmax[1, j, element] = minmax(var_minmax[1, j, element], var_outer)
end
end
# + xi direction
for cell_y in axes(mesh, 2)
element = linear_indices[end, cell_y]
for j in eachnode(dg)
Ja1 = get_contravariant_vector(1, contravariant_vectors, nnodes(dg), j,
element)
u_inner = get_node_vars(u, equations, dg, nnodes(dg), j, element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[2], Ja1, 2,
equations, dg, cache,
nnodes(dg), j, element)
var_outer = variable(u_outer, equations)
var_minmax[nnodes(dg), j, element] = minmax(var_minmax[nnodes(dg), j,
element],
var_outer)
end
end
end
if !isperiodic(mesh, 2)
# - eta direction
for cell_x in axes(mesh, 1)
element = linear_indices[cell_x, begin]
for i in eachnode(dg)
Ja2 = get_contravariant_vector(2, contravariant_vectors, i, 1, element)
u_inner = get_node_vars(u, equations, dg, i, 1, element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[3], Ja2, 3,
equations, dg, cache,
i, 1, element)
var_outer = variable(u_outer, equations)
var_minmax[i, 1, element] = minmax(var_minmax[i, 1, element], var_outer)
end
end
# + eta direction
for cell_x in axes(mesh, 1)
element = linear_indices[cell_x, end]
for i in eachnode(dg)
Ja2 = get_contravariant_vector(2, contravariant_vectors, i, nnodes(dg),
element)
u_inner = get_node_vars(u, equations, dg, i, nnodes(dg), element)
u_outer = get_boundary_outer_state(u_inner, t,
boundary_conditions[4], Ja2, 4,
equations, dg, cache,
i, nnodes(dg), element)
var_outer = variable(u_outer, equations)
var_minmax[i, nnodes(dg), element] = minmax(var_minmax[i, nnodes(dg),
element],
var_outer)
end
end
end
return nothing
end
end # @muladd