NeuralFlow Theory & User Reference Manual › NeuralFlow Theory & User Reference Manual

NeuralFlow Theory & User Reference Manual

The Theory Manual defines the governing equations, physical models, numerical methods, defaults, compatibility rules, and solver formulation. The NeuralFlow User's Guide provides the step-by-step operational workflow with screenshots. The GUI Options Reference remains the compact control-by-control reference with theory links.

Edition: August 2026Audience: NeuralFlow users and customersCoverage: Theory + User's Guide + GUI referenceCross-reference: GUI option → related theory section

Theory Manual

The theory pages form the mathematical and physical reference for NeuralFlow. 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 NeuralFlowMLParallel/GPU execution and the NeuralFlowML 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 NeuralFlow

Theory: Neuralflow Learned Solver

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

NeuralFlow User's Guide

The NeuralFlow User's Guide is the step-by-step operating manual. It covers setup and launch, GUI workflow, mesh handling, materials and zones, boundary conditions, physical models, solver controls, monitoring, visualization, Python UDF scripting, and PyNeuralFlow.

GUI Options Reference

The GUI Options Reference is an option-by-option companion to the step-by-step User's Guide. 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 ManualNeuralFlowML 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 referenceNeuralFlow Capability and GUI Availability Map ReferenceReferences