Principles
55 of 55 shown
Claim Board — scientifically-declared inventory awaiting external contributors. Each stub is an open invitation: author the reference solver + dataset, open a PR, and earn the registration bounty. Not mineable until promoted to Tier 1/2 by 3-of-5 multisig.
Filter by physics:clear all facets
Problem classnonlinear_inverse (203)linear_inverse (197)parameter_estimation (62)linear_inverse_with_categorical_readout (18)statistical_inverse (5)forward (3)parametric_spectral_estimation (3)linear_inverse_count (3)
Noise modelgaussian (316)shot_poisson (80)poisson (28)observation_gaussian (13)poisson_gaussian (13)measurement_gaussian (10)lognormal (9)deterministic (7)
Photon, electron, mechanical, etc. drawn from each manifest'sphysics_fingerprint block. Combine multiple facets to narrow further.
Domain:AllCompressive ImagingAstrophysicsComputational BiologyEnvironmental ScienceControl TheoryComputational FinanceRoboticsPetroleum EngineeringGeodesyParticle PhysicsOptimizationAstronomyPolymer PhysicsSemiconductor PhysicsComputational ChemistryQuantum MechanicsMaterials ScienceMicroscopyMedical ImagingCoherent ImagingComputational PhotographyComputational OpticsElectron MicroscopyDepth ImagingRemote SensingIndustrial InspectionUltrafast ImagingQuantum ImagingMultimodal FusionScanning ProbePlasma PhysicsNuclear EngineeringFluid DynamicsHeat TransferStructural MechanicsElectromagneticsAcousticsGeophysicsSignal ProcessingScientific InstrumentationSpectroscopy
| Title | ID | Chain | Domain | Tier | δ | L_DAG | Specs | Benchmarks |
|---|---|---|---|---|---|---|---|---|
| Incompressible Navier-Stokes — low-Mach viscous flow | L1-170 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Compressible Navier-Stokes — viscous shock/boundary-layer | L1-171 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.7 | 0 | 0 |
| Euler Equations — inviscid compressible | L1-172 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3.3 | 0 | 0 |
| Stokes Flow — low-Re linear viscous | L1-173 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Boundary Layer — Prandtl / Blasius near-wall flow | L1-174 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Potential Flow — irrotational inviscid | L1-175 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| RANS k-epsilon — turbulence closure | L1-176 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| RANS k-omega SST — Menter's two-eq turbulence model | L1-177 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Spalart-Allmaras — one-eq turbulence model | L1-178 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3.2 | 0 | 0 |
| LES — large-eddy simulation | L1-179 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 10 | 3.8 | 0 | 0 |
| DNS — direct numerical simulation | L1-180 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 10 | 3.5 | 0 | 0 |
| Shallow Water Equations — coastal/tidal/inundation | L1-181 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Boussinesq Approximation — buoyant flow | L1-182 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3.3 | 0 | 0 |
| Volume of Fluid (VOF) — multiphase interface tracking | L1-183 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Level-Set Method — implicit interface evolution | L1-184 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Eulerian-Lagrangian — dispersed-phase particle tracking | L1-185 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| SPH — smoothed particle hydrodynamics | L1-186 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Lattice Boltzmann Method (LBM) — mesoscale fluid | L1-187 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| Darcy Flow — low-Re porous-medium flow | L1-188 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Richards Equation — unsaturated variably-saturated flow | L1-189 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Advection-Diffusion — scalar transport | L1-190 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Convection-Diffusion-Reaction — transport with source terms | L1-191 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Buckley-Leverett — two-phase displacement saturation | L1-192 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Stefan Problem — fluid-side melt-front tracking | L1-193 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Fluid-Structure Interaction (FSI) — coupled fluid + solid | L1-194 | unregistered | Fluid Dynamics | 📋 Stub — not mineable | 10 | 4 | 0 | 0 |
| Linear Elasticity — Navier-Cauchy 3D solid mechanics | L1-207 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Euler-Bernoulli Beam — thin-beam bending | L1-208 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Timoshenko Beam — shear-deformation thick-beam | L1-209 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Kirchhoff Plate — thin-plate bending | L1-210 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Mindlin-Reissner Plate — thick-plate with shear | L1-211 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Shell Theory — curved thin-structure mechanics | L1-212 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Modal Analysis — natural frequencies and mode shapes | L1-213 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Linear Buckling — eigenvalue stability analysis | L1-214 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| Hyperelasticity — large-deformation rubber-like | L1-215 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| J2 Plasticity — von Mises rate-independent | L1-216 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Crystal Plasticity — slip-system resolved plasticity | L1-217 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 10 | 3.8 | 0 | 0 |
| Viscoelasticity — linear hereditary models | L1-218 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Creep Mechanics — high-temperature rate-dependent | L1-219 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Linear Elastic Fracture Mechanics (LEFM) — K/J evaluation | L1-220 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| Cohesive Zone Model — traction-separation interface | L1-221 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.2 | 0 | 0 |
| XFEM — extended finite element for cracks | L1-222 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Phase-Field Fracture — regularized crack model | L1-223 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Fatigue — Paris law crack growth | L1-224 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Hertzian Contact — elastic sphere/cylinder contact | L1-225 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 2.8 | 0 | 0 |
| Frictional Contact — Coulomb / state-rate friction | L1-226 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Poroelasticity — Biot coupled solid/fluid | L1-227 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Thermoelasticity — coupled thermal-mechanical | L1-228 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Piezoelectricity — coupled mechanical-electrical | L1-229 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Elastodynamics — dynamic wave propagation in solids | L1-230 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Continuum Damage Mechanics — scalar/tensor damage | L1-231 | unregistered | Structural Mechanics | 📋 Stub — not mineable | 5 | 3.3 | 0 | 0 |
| Gravity Field Inversion — density imaging | L1-279 | unregistered | Geophysics | 📋 Stub — not mineable | 5 | 3 | 0 | 0 |
| Satellite Gravity Recovery — GRACE/GRACE-FO mass change | L1-285 | unregistered | Geophysics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Glacial Isostatic Adjustment (GIA) — post-glacial rebound | L1-287 | unregistered | Geophysics | 📋 Stub — not mineable | 5 | 3.5 | 0 | 0 |
| Well Test Analysis — transient pressure testing | L1-291 | unregistered | Geophysics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |
| Tidal Analysis — harmonic tidal constituent extraction | L1-292 | unregistered | Geophysics | 📋 Stub — not mineable | 3 | 3 | 0 | 0 |