$ man cfd-glossary

Glossary

74 CFD terms · 72 linked to published posts

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A B C D E F G H I K L M N O P Q R S T V W Y

AMG8 hitswiki ↗: Algebraic Multigrid. Multilevel preconditioner built from the matrix graph, no geometric grid needed.
AMR10 hitswiki ↗: Adaptive Mesh Refinement — refines the grid only where the solution varies sharply.
AUSM30 hits: Advection Upstream Splitting Method — pressure/advection split flux family.
BiCGSTAB10 hitswiki ↗: Bi-Conjugate Gradient Stabilized. Krylov solver for non-symmetric matrices.
Boundary Layer75 hits: Thin near-wall region where viscous effects concentrate velocity gradients.
Burgers13 hitswiki ↗: u_t + u u_x = ν u_xx. Canonical 1D nonlinear PDE modeling shocks and viscosity.
Casulli15 hits: Casulli–Walters semi-implicit algorithm for the unstructured shallow-water equations.
CFL113 hitswiki ↗: Courant–Friedrichs–Lewy condition. Stability bound for explicit time integration.
CG17 hitswiki ↗: Conjugate Gradient. Optimal Krylov solver for symmetric positive-definite systems; O(n^(1/2)) convergence.
Checkerboard Pressure5 hits: Nonphysical alternating pressure mode caused by weak pressure-velocity coupling.
Collocated Grid8 hits: Grid arrangement storing pressure, velocity, and other variables at the same cell center.
Dean Vortex5 hits: Pair of secondary-flow vortices generated by centrifugal effects in curved pipes.
DG24 hits: Discontinuous Galerkin method; a high-order Galerkin family allowing inter-element jumps.
DGM9 hitswiki ↗: Discontinuous Galerkin Method. High-order FEM variant allowing element-boundary jumps.
Diffuse Interface17 hits: Model that represents an interface as a finite-thickness transition layer instead of a sharp discontinuity.
DNS20 hits: Direct Numerical Simulation. Resolves all turbulence scales directly.
Eikonal9 hitswiki ↗: Stationary PDE ‖∇φ‖ = 1. Used for wall distance and front propagation.
EOS48 hits: Equation of State. Closure relation p = f(ρ, e).
Fast Marching18 hits: Algorithm that computes distance or arrival-time fields by monotone propagation of the Eikonal equation.
FDM13 hitswiki ↗: Finite Difference Method. Discretization via nodal derivative approximations.
FEM29 hitswiki ↗: Finite Element Method. Discretization via variational weak form and shape functions.
Finite Difference32 hits: Numerical method that approximates derivatives with differences between grid values.
Finite Element38 hits: PDE discretization using element-wise basis functions and weak forms.
Finite Volume67 hits: CFD method that integrates conservation laws over cells and discretizes face fluxes.
Five-Equation Model16 hits: Compressible multiphase model tracking volume fraction plus mixture momentum and energy.
Flux Limiter30 hits: Nonlinear function that limits high-order corrections to suppress oscillations near steep gradients.
FVM38 hitswiki ↗: Finite Volume Method. Cell-wise conservative integration; the CFD workhorse.
Galerkin13 hitswiki ↗: Variational discretization where trial and test spaces coincide.
GMRES34 hitswiki ↗: Generalized Minimal Residual. Robust Krylov solver for general non-symmetric systems.
Godunov46 hitswiki ↗: Conservative finite-volume scheme that solves a Riemann problem at each cell interface to determine fluxes.
Helmholtz9 hits: Classical vortex theorem describing vortex-line conservation in inviscid barotropic flow.
HLLC21 hits: Harten–Lax–van Leer Contact. Approximate Riemann solver that captures contact discontinuities.
IBM11 hitswiki ↗: Immersed Boundary Method. Represents complex boundaries as body-force terms on Cartesian grids.
ILU4 hitswiki ↗: Incomplete LU factorization. Approximate triangular decomposition of sparse matrices; standard Krylov preconditioner.
IMEX40 hits: Implicit-Explicit splitting. Stiff terms (pressure, viscosity) implicit; non-stiff (advection) explicit.
k-epsilon3 hits: Two-equation RANS model solving turbulence kinetic energy k and dissipation epsilon.
Kolmogorov10 hits: Smallest scale in the turbulence energy cascade. η = (ν³/ε)^(1/4).
Krylov25 hitswiki ↗: Subspace spanned by {r₀, Ar₀, A²r₀, ...}. Foundation of CG/GMRES/BiCGSTAB.
Lax-Wendroff13 hits: Second-order linear advection scheme based on a time Taylor expansion.
LBM36 hitswiki ↗: Lattice Boltzmann Method. Boltzmann kinetics discretized on a lattice; highly parallelizable.
LES16 hits: Large Eddy Simulation. Resolves large vortices, models sub-grid scales.
Level Set4 hits: Interface-capturing method representing the interface as the zero contour of a signed-distance function.
Mach78 hitswiki ↗: Flow speed divided by sound speed. Indicates compressibility and shock formation.
Multigrid3 hitswiki ↗: Acceleration that cycles between coarse/fine grids to damp low+high frequency errors together.
MUSCL30 hitswiki ↗: Monotone Upstream-centered Schemes for Conservation Laws. 2nd-order spatial reconstruction with monotone Riemann fluxes.
Navier-Stokes32 hits: Governing equations for fluid motion from mass and momentum conservation.
OpenFOAM57 hitswiki ↗: Open-source CFD library based on finite volume method.
PINN3 hits: Physics-Informed Neural Network — embeds PDEs into the training loss.
PISO4 hits: Pressure Implicit with Splitting of Operators. Efficient for transient flows.
Plateau-Rayleigh2 hitswiki ↗: Surface-tension-driven instability that breaks a liquid jet into droplets.
Poiseuille18 hits: Analytical viscous internal flow driven by a pressure gradient.
Quaternion1 hitswiki ↗: Four-component hypercomplex number (w, x, y, z); gimbal-lock-free 3D rotations.
Rankine Vortex: Simple vortex model with a forced-vortex core and free-vortex exterior.
RANS13 hits: Reynolds-Averaged Navier–Stokes. Time-averaged form for turbulence modeling.
Reynolds61 hitswiki ↗: Ratio of inertial to viscous forces. Determines laminar–turbulent transition.
Rhie-Chow42 hits: Face-velocity interpolation that suppresses pressure checkerboarding on collocated grids.
Riemann77 hitswiki ↗: 1-D initial discontinuity problem between two states. Foundation of numerical fluxes in CFD.
Riemann Solver41 hits: Algorithm that solves a local Riemann problem at a cell face to compute numerical flux.
Roe51 hitswiki ↗: Approximate Riemann solver that linearizes the Jacobian via Roe's average.
Semi-Implicit10 hits: Time integration that treats stiff terms implicitly and other terms explicitly.
Shallow Water8 hits: Depth-averaged free-surface flow equations for horizontal scales much larger than depth.
SIMPLE21 hits: Semi-Implicit Method for Pressure-Linked Equations. Incompressible pressure–velocity coupling.
Speed of Sound164 hits: Propagation speed of pressure disturbances; sensitive to phase fraction in compressible mixtures.
SPH21 hitswiki ↗: Smoothed Particle Hydrodynamics. Mesh-free discretization via particle interaction kernels.
SST3 hits: Turbulence model blending near-wall k-omega behavior with outer-flow k-epsilon behavior.
Staggered Grid12 hits: Grid arrangement that stores pressure and velocity components at different locations.
TENO27 hits: Targeted ENO. Lower-dissipation shock-capturing scheme (5/6th order) than WENO.
TVD28 hits: Total Variation Diminishing. Monotonicity condition preventing spurious oscillations.
VOF18 hits: Volume of Fluid. Tracks volume fractions of each phase in multiphase flow.
Volume Fraction35 hits: Fraction of a cell volume occupied by a particular phase in multiphase flow.
Vorticity24 hits: Curl of the velocity field; twice the local spin rate of a fluid particle.
Wall Distance11 hits: Distance from a cell or point to the nearest wall, needed by wall functions and turbulence models.
WENO26 hits: Weighted Essentially Non-Oscillatory. High-order non-oscillatory reconstruction near shocks.
y+: Nondimensional wall distance of the first cell; key metric for wall functions and wall-resolved CFD.