soniumFluids & thermal · 29
Navier-Stokes, Stokes, turbulence, and heat transfer with manufactured-solution convergence ladders. Method shown on hover; tolerance is the pass gate. back to QA
| Case | Tier | Reference | Gate |
|---|---|---|---|
fem.thermal-dirichlet.v1 | physics-gate | exact one-dimensional linear temperature profile, 100 K to 200 K | 1e-8 K |
fem.stokes-stability.v1 | physics-gate | parabolic Poiseuille velocity/pressure, bounded lid vortex, Taylor-Couette angular profile, and exact saddle block structure | velocity <= 1e-6; pressure <= 1e-4; converged solve; nonzero coupling rows; zero pressure block |
fem.compressible-navier-stokes-3d.v1 | physics-gate | uniform conservative state and Sutherland reference viscosity | 1e-5 residual; positive density/pressure |
fem.compressible-shear-wave-3d.v1 | physics-gate | rho=1; u=A0 exp(-mu pi^2 t)(cos(pi z),sin(pi z),0); constant total energy and viscous heating | fine velocity <=3%, pressure/density <=0.003; spatial order >=1; public SSPRK3 order 2.8..3.5; timestep sensitivity <=1e-4; 100x reduced-viscosity control mismatch >=10% |
fem.battery-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.conjugate-heat-transfer-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.electrothermal-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.mhd-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.phase-field-flow-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.porous-flow-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.radiation-transport-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.reacting-flow-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.transport-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.turbulence-3d.v1 | contract-gate | partition of unity and prescribed-coordinate bilinear energy identities | 2e-10 |
fem.compressible-conservation-3d.v1 | physics-gate | closed-domain integral conservation and ideal-gas positivity | mass/energy drift <= 1e-11; positive density/pressure; nonzero evolution |
fem.thermal-validation.v1 | physics-gate | sin(pi x) sin(pi y) manufactured solution | L2 rates >= 1.5; fine L2 error <= 2e-3 |
fem.transport-3d-mms.v1 | physics-gate | strong PDE c*u_t-div(D grad u)+v.grad u+r*u=f; u=g(t)*(1+x^2+2y^2+3z^2+xy+2yz+3xz), linear/exponential g | fine value <= 1e-3; gradient <= 0.06; temporal value <= 1e-4; spatial value/gradient rates >= 1.8/0.9; time rates >= 1.8; residual <= 1e-9 |
fem.electrothermal-3d-mms.v1 | physics-gate | independent current/heat strong equations; sigma=2/(1+0.02*(T-293.15)); manufactured voltage and temperature with independent external forcing | field rates >= 1.8, gradient rates >= 0.8; fine voltage/Joule power <= 0.5%, temperature rise <= 2%; residuals and power balances <= 1e-9 |
fem.reacting-flow-3d-mms.v1 | physics-gate | independent polynomial ADR strong equations; A+B-to-AB, rate=20 exp(-5000/(R*T))*cA*cB, sources=(-r,-r,r), reaction heat=5r | field rates >= 1.8; gradient rates >= 0.8; P2 field/gradient error <= 1e-9; original residual <= 1e-9; mass/heat transfer <= 1e-12; four missing-term controls |
fem.porous-flow-3d-transient-darcy.v1 | physics-gate | S*p_t-div(M grad p)=f; p=g(t)*(1+x^2+2y^2+3z^2+xy+2yz+3xz); flux=-M grad p; independent Hessian contraction and storage derivative | pressure spatial/time rates >= 1.8; flux spatial/time rates >= 0.9/1.8; fine pressure <= 1e-3; residual/mass balance <= 1e-9; three omitted-term history controls |
fem.radiation-transport-3d-s2-mms.v1 | physics-gate | independent quadratic anisotropic intensities, G=4piF, flux divergence=0.8pi and spatial blackbody radiance; steady grey isotropic S2 scope | intensity/gradient rates >=1.7/0.9; fine value <=0.01; P2 fields/energy <=1e-9; residual <=1e-9; fine energy <=0.01; four omitted-term errors >=1e-3 |
fem.conjugate-heat-transfer-3d-interface-mms.v1 | physics-gate | independent piecewise quadratic temperature in resistive coordinate, continuous temperature and matched normal flux, exact interface heat rates +/-3g(t) | temperature space/time rates >=1.8; flux space/time >=0.9/1.8; fine interface flux/jump <=0.08; P2/residual/weak energy <=1e-9; 88 steps and four controls >=1e-3 |
fem.battery-3d-electrothermal-history.v1 | physics-gate | independent quadratic porous-electrode strong sources and ohmic/reaction/entropic heat; declared linearized interfacial law with concentration-dependent equilibrium potential | value spatial/time rates>=1.8; flux spatial/time rates>=0.9/1.8; P2/residual/balance<=1e-9; controls>=1e-3 |
fem.mhd-3d-stokes-history.v1 | physics-gate | independent divergence-free cubic velocity, cubic potential and linear pressure strong sources; current, Lorentz force and Joule dissipation | P2 field/gradient rates>=2.7/1.8; pressure>=1.7; temporal>=1.8; exact P3/residual/charge/power<=1e-9; controls>=1e-3 |
fem.phase-field-flow-3d-quartic-history.v1 | physics-gate | independent quadratic phase/chemical/velocity and linear pressure strong sources, capillary load, source-aware inventory and quartic free energy | phase/chemical values>=1.8 spatial/time rates, flux>=.9/1.8, velocity>=1.7/1.8; P2/residual/budgets<=1e-9; six history controls>=1e-3 |
fem.stokes-taylor-couette-independent-residual.v1 | physics-gate | u_theta(r)=-r/3+4/(3r), inner radius 1, outer radius 2, angular speed 1 | solver_converged=1; true_relative_residual<=1e-8; velocity_relative_l2_error<=0.02 |
fem.ns-cavity-obstacle-smoke-re100.v1 | smoke | smoke invariants; no independent quantitative accuracy reference | maximum_speed<10; recirculation_sign_changes>=1; solver_converged=1; accuracy_reference_executed=0 |
fem.ns-cavity-obstacle-smoke-re400.v1 | smoke | smoke invariants; no independent quantitative accuracy reference | maximum_speed<10; recirculation_sign_changes>=1; solver_converged=1; accuracy_reference_executed=0 |
fem.stokes-cavity-independent-centerlines.v1 | physics-gate | independent 13-point clamped-biharmonic streamfunction n128/256/512, validated by MMS, reference refinement, and second-order Richardson extrapolation | centerline relative L2<=0.001; maximum absolute error<=0.0001; both error contraction ratios<=0.8; bulk divergence RMS<=0.005; reference adjacent change<=0.0002; extrapolated reference change<=2e-6; t |