Reject unsupported pressure traces before polynomial state certification

tests/solver/enthalpy_admissibility.cpp

@@ -4,10 +4,12 @@
 #include <limits>
 #include <numeric>
 #include <span>
+#include <type_traits>
 #include <vector>
 
 #include <catch2/catch_approx.hpp>
 #include <catch2/catch_test_macros.hpp>
+#include <catch2/matchers/catch_matchers.hpp>
 #include <mfem.hpp>
 #include <mpi.h>
 
@@ -199,3 +201,18 @@ TEST_CASE("Feasible direction repair enforces exact homogeneous trace and reject
     CHECK(prepared.MinimumRepairFraction(invalidTrace,anchor,direction).status ==
           EnthalpyDirectionRepairStatus::invalid_base);
 }
+
+TEST_CASE("Polynomial enthalpy validates the physical surface prescription before inspecting a state",
+          "[solver][enthalpy_admissibility][unit][parallel]") {
+    using namespace mean_field;
+    const eos::Polytrope equationOfState({.n=1.0,.K=1.0});
+    const auto zero = surface::compilePressureSurfaceConstraint<surface::BarotropicSurfaceFormulation>(
+        surface::Isobaric({.Psurf=dimensions::PressureValue{0.0}}),equationOfState);
+    STATIC_CHECK(solver::detail::PolynomialEnthalpySurfaceConstraint<std::remove_cvref_t<decltype(zero)>>);
+    REQUIRE_NOTHROW(solver::detail::RequirePolynomialEnthalpySurface(zero,equationOfState,MPI_COMM_WORLD));
+    int rank = 0; MPI_Comm_rank(MPI_COMM_WORLD,&rank);
+    const auto positive = surface::compilePressureSurfaceConstraint<surface::BarotropicSurfaceFormulation>(
+        surface::Isobaric({.Psurf=dimensions::PressureValue{rank == 0 ? 0.01 : 0.0}}),equationOfState);
+    CHECK_THROWS_WITH(solver::detail::RequirePolynomialEnthalpySurface(positive,equationOfState,MPI_COMM_WORLD),
+        "PolynomialEnthalpy supports only zero prescribed surface pressure (Psurf=0).");
+}