123 lines
4.0 KiB
C++
123 lines
4.0 KiB
C++
#include <array>
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#include <cmath>
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#include <limits>
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#include <catch2/catch_test_macros.hpp>
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#include <catch2/matchers/catch_matchers_floating_point.hpp>
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import mean_field;
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import test_helpers;
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TEST_CASE("Polytropic EOS Satisfies Its Analytic Identities",
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tags::barotrope_eos_unit) {
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constexpr double polytropic_index = 3.0;
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constexpr double polytropic_constant = 1.5;
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const mean_field::eos::Polytrope barotrope(polytropic_index,
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polytropic_constant);
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const std::array<double, 5> densities{1.0e-6, 1.0e-3, 0.1, 0.7, 2.0};
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for (const double density : densities) {
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const double pressure = barotrope.pressure_from_density(density);
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const double enthalpy = barotrope.enthalpy_from_density(density);
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const double reconstructed_density =
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barotrope.density_from_enthalpy(enthalpy);
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const double reconstructed_pressure =
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barotrope.pressure_from_enthalpy(enthalpy);
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const double reconstructed_enthalpy =
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barotrope.enthalpy_from_pressure(pressure);
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CHECK_THAT(reconstructed_density,
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Catch::Matchers::WithinRel(density, 2.0e-14));
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CHECK_THAT(reconstructed_pressure,
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Catch::Matchers::WithinRel(pressure, 2.0e-14));
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CHECK_THAT(reconstructed_enthalpy,
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Catch::Matchers::WithinRel(enthalpy, 2.0e-14));
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CHECK_THAT(pressure,
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Catch::Matchers::WithinRel(
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density * enthalpy / (polytropic_index + 1.0), 2.0e-14));
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CHECK_THAT(barotrope.pressure_derivative_from_enthalpy(enthalpy),
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Catch::Matchers::WithinRel(density, 2.0e-14));
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CHECK_THAT(
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barotrope.pressure_derivative_from_density(density),
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Catch::Matchers::WithinRel(enthalpy / polytropic_index, 2.0e-14));
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}
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}
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TEST_CASE("Polytropic EOS Derivatives Match Centered Differences",
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tags::barotrope_eos_jacobian) {
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const mean_field::eos::Polytrope barotrope(3.0, 1.5);
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const std::array<double, 4> enthalpies{0.05, 0.2, 0.7, 1.4};
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for (const double enthalpy : enthalpies) {
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const double step = 1.0e-6 * std::max(1.0, enthalpy);
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const double density_difference =
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(barotrope.density_from_enthalpy(enthalpy + step) -
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barotrope.density_from_enthalpy(enthalpy - step)) /
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(2.0 * step);
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const double pressure_difference =
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(barotrope.pressure_from_enthalpy(enthalpy + step) -
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barotrope.pressure_from_enthalpy(enthalpy - step)) /
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(2.0 * step);
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CHECK_THAT(
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density_difference,
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Catch::Matchers::WithinRel(
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barotrope.density_derivative_from_enthalpy(enthalpy), 5.0e-10));
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CHECK_THAT(
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pressure_difference,
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Catch::Matchers::WithinRel(
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barotrope.pressure_derivative_from_enthalpy(enthalpy), 5.0e-10));
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}
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}
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TEST_CASE("Polytropic EOS Has An Exact Zero Density Surface",
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tags::barotrope_eos_unit) {
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const mean_field::eos::Polytrope barotrope(3.0, 1.5);
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CHECK(barotrope.density_from_enthalpy(-1.0) == 0.0);
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CHECK(barotrope.density_from_enthalpy(0.0) == 0.0);
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CHECK(barotrope.pressure_from_enthalpy(-1.0) == 0.0);
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CHECK(barotrope.pressure_from_enthalpy(0.0) == 0.0);
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CHECK(barotrope.density_derivative_from_enthalpy(-1.0) == 0.0);
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CHECK(barotrope.density_derivative_from_enthalpy(0.0) == 0.0);
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CHECK(barotrope.pressure_derivative_from_enthalpy(0.0) == 0.0);
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}
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TEST_CASE("Polytropic EOS Rejects Invalid Material Parameters",
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tags::barotrope_eos_unit) {
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CHECK_THROWS_AS(mean_field::eos::Polytrope(0.5, 1.0), std::invalid_argument);
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CHECK_THROWS_AS(mean_field::eos::Polytrope(3.0, 0.0), std::invalid_argument);
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CHECK_THROWS_AS(
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mean_field::eos::Polytrope(std::numeric_limits<double>::infinity(), 1.0),
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std::invalid_argument);
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const mean_field::eos::Polytrope barotrope(3.0, 1.0);
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CHECK_THROWS_AS(barotrope.pressure_from_density(-1.0), std::domain_error);
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CHECK_THROWS_AS(barotrope.enthalpy_from_density(-1.0), std::domain_error);
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CHECK_THROWS_AS(barotrope.enthalpy_from_pressure(-1.0), std::domain_error);
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}
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