CMPS Theory & User Reference Manual › CMPS Theory & User Reference Manual

CMPS Theory & User Reference Manual

The Theory Manual defines the governing equations, physical models, numerical methods, defaults, compatibility rules, and automatic option-selection logic where these are part of the formulation. The User Manual documents the controls exposed in the CMPS GUI, their simulation effects, and a direct theory reference for each technical option.

Edition: August 2026Audience: CMPS users and customersCoverage: Theory + complete GUI referenceCross-reference: GUI option → related theory section

Theory Manual

The theory pages form the mathematical and physical reference for CMPS. They include governing formulations, numerical closures, verified defaults, model compatibility, and automatic selection behavior where it affects the active solver formulation or available boundary/model data.

Governing formulationsCarrier equations, primitive/coupled variables, finite-volume residuals, and flow-regime logic.

Physical modelsTurbulence, multiphase flow, reacting flow, solids, walls, materials, and compatibility.

Numerical methodsFluxes, reconstruction, time integration, nonlinear/linear solution, and multigrid.

Execution and NeuralFlowParallel/GPU execution and the NeuralFlow learned-solver formulation.

Theory: Foundations & Carrier Flow

Theory chapterIntroduction Theory chapterGoverning Carrier-Flow Equations Theory chapterFinite-Volume Variables and Coupled Solution System Theory chapterArtificial Compressibility for Constant-Density Flow Theory chapterNumerical Approach Theory chapterCarrier Flux Discretization on Interior Faces Theory chapterTime Integration, CFL Control and Initialization Theory chapterNonlinear Correction, Relaxation and Admissibility Theory chapterCoordinate Systems, Body Forces and Rotating Reference Frames

Theory: Multiphase Flow

Theory chapterHomogeneous Volume-of-Fluid (VOF) Model Theory chapterVOF Interface Capturing and Coupled Discretization Theory chapterDilute Dispersed-Phase and Interfacial-Area Model Theory chapterDiscretization of the Dispersed-Phase Equations Theory chapterModel Coupling and Compatibility

Theory: Thermochemistry & Transport

Theory chapterThermochemistry and Mixture Properties Theory chapterEquations of State and Caloric Models Theory chapterTransport Properties and Material Closures Theory chapterSpecies Transport and Reacting Flow

Theory: Turbulence & Wall Physics

Theory chapterGE k-omega Turbulence Model Theory chapterScale-Adaptive Turbulence Extension Theory chapterWall Boundary Layers Theory chapterWall Distance Theory chapterWall Functions and Thermal Boundary Treatment Theory chapterBoundary Conditions and Face Closures

Theory: Solids & Material Response

Theory chapterSolid Energy, Conjugate Heat Transfer and Thermal Coupling Theory chapterBoundary-Attached One-Dimensional Charring-Material Response

Theory: Solution Methods

Theory chapterSparse Linear Solver Theory chapterAgglomeration Multigrid and FMG Theory chapterSchur-Complement Pressure-Velocity Coupling

Theory: Parallel & Accelerated Execution

Theory chapterParallel Computing in CMPS

Theory: Neuralflow Learned Solver

Theory chapterNeuralFlow: Solver-Trained Recurrent GNO Theory chapterNeuralFlow Finite-Volume Graph and Boundary Encoding Theory chapterNeuralFlow Recurrent Correction, Rollout and Training Theory chapterNeuralFlow Physics-Constrained Objectives and Jacobian Metrics

User Manual — GUI Reference

The User Manual is an option-by-option reference to the CMPS GUI. Each technical control records its meaning or formulation, current default or automatic availability where verified, effect on the simulation, practical guidance, and a link to the related Theory Manual section.

User ManualGUI Options Reference User ManualRun, Parallel and Grid Setup User ManualPhysics Models User ManualSpatial Numerics and Limits User ManualSolution Control and Time Advancement User ManualAgglomeration Multigrid and FMG User ManualLinear Solver and CPU/GPU User ManualBoundary and Initial Conditions User ManualMaterials, Cell Zones and MRF User ManualNeuralFlow Options User ManualMonitoring, Reports and Visualization User ManualComplete GUI Control Index

Qualification and reference

Monitoring, capability, and model-availability pages provide reference information for convergence, conservation, supported model combinations, and result qualification.

User referenceSolution Monitoring and Integral Reports User referenceModel Availability, Coupling and Recommended Use User referenceCMPS Capability and GUI Availability Map ReferenceReferences