$ man cfd-glossary
Glossary
74 CFD terms · 70 linked to published posts
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- AMR9 hitswiki ↗
- Adaptive Mesh Refinement — refines the grid only where the solution varies sharply.
- AUSM2 hits
- Advection Upstream Splitting Method — pressure/advection split flux family.
- Boundary Layer4 hits
- Thin near-wall region where viscous effects concentrate velocity gradients.
- Burgers2 hitswiki ↗
- u_t + u u_x = ν u_xx. Canonical 1D nonlinear PDE modeling shocks and viscosity.
- Casulli8 hits
- Casulli–Walters semi-implicit algorithm for the unstructured shallow-water equations.
- CFL15 hitswiki ↗
- Courant–Friedrichs–Lewy condition. Stability bound for explicit time integration.
- Checkerboard Pressure2 hits
- Nonphysical alternating pressure mode caused by weak pressure-velocity coupling.
- Collocated Grid2 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.
- Diffuse Interface7 hits
- Model that represents an interface as a finite-thickness transition layer instead of a sharp discontinuity.
- DNS4 hits
- Direct Numerical Simulation. Resolves all turbulence scales directly.
- Eikonal9 hitswiki ↗
- Stationary PDE ‖∇φ‖ = 1. Used for wall distance and front propagation.
- EOS34 hits
- Equation of State. Closure relation p = f(ρ, e).
- Fast Marching16 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.
- FEM27 hitswiki ↗
- Finite Element Method. Discretization via variational weak form and shape functions.
- Finite Difference25 hits
- Numerical method that approximates derivatives with differences between grid values.
- Finite Element31 hits
- PDE discretization using element-wise basis functions and weak forms.
- Finite Volume37 hits
- CFD method that integrates conservation laws over cells and discretizes face fluxes.
- Five-Equation Model9 hits
- Compressible multiphase model tracking volume fraction plus mixture momentum and energy.
- Flux Limiter18 hits
- Nonlinear function that limits high-order corrections to suppress oscillations near steep gradients.
- FVM20 hitswiki ↗
- Finite Volume Method. Cell-wise conservative integration; the CFD workhorse.
- Galerkin9 hitswiki ↗
- Variational discretization where trial and test spaces coincide.
- Helmholtz3 hits
- Classical vortex theorem describing vortex-line conservation in inviscid barotropic flow.
- HLLC7 hits
- Harten–Lax–van Leer Contact. Approximate Riemann solver that captures contact discontinuities.
- IBM1 hitswiki ↗
- Immersed Boundary Method. Represents complex boundaries as body-force terms on Cartesian grids.
- IMEX10 hits
- Implicit-Explicit splitting. Stiff terms (pressure, viscosity) implicit; non-stiff (advection) explicit.
- k-epsilon2 hits
- Two-equation RANS model solving turbulence kinetic energy k and dissipation epsilon.
- Kolmogorov1 hits
- Smallest scale in the turbulence energy cascade. η = (ν³/ε)^(1/4).
- Lax-Wendroff6 hits
- Second-order linear advection scheme based on a time Taylor expansion.
- LBMwiki ↗
- Lattice Boltzmann Method. Boltzmann kinetics discretized on a lattice; highly parallelizable.
- LES7 hits
- Large Eddy Simulation. Resolves large vortices, models sub-grid scales.
- Level Set3 hits
- Interface-capturing method representing the interface as the zero contour of a signed-distance function.
- Mach12 hitswiki ↗
- Flow speed divided by sound speed. Indicates compressibility and shock formation.
- Multigridwiki ↗
- Acceleration that cycles between coarse/fine grids to damp low+high frequency errors together.
- OpenFOAM31 hitswiki ↗
- Open-source CFD library based on finite volume method.
- PINN3 hits
- Physics-Informed Neural Network — embeds PDEs into the training loss.
- PISO1 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.
- Poiseuille6 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.
- RANS5 hits
- Reynolds-Averaged Navier–Stokes. Time-averaged form for turbulence modeling.
- Reynolds28 hitswiki ↗
- Ratio of inertial to viscous forces. Determines laminar–turbulent transition.
- Rhie-Chow32 hits
- Face-velocity interpolation that suppresses pressure checkerboarding on collocated grids.
- Riemann31 hitswiki ↗
- 1-D initial discontinuity problem between two states. Foundation of numerical fluxes in CFD.
- Riemann Solver22 hits
- Algorithm that solves a local Riemann problem at a cell face to compute numerical flux.
- Semi-Implicit4 hits
- Time integration that treats stiff terms implicitly and other terms explicitly.
- Shallow Water6 hits
- Depth-averaged free-surface flow equations for horizontal scales much larger than depth.
- SIMPLE7 hits
- Semi-Implicit Method for Pressure-Linked Equations. Incompressible pressure–velocity coupling.
- Speed of Sound17 hits
- Propagation speed of pressure disturbances; sensitive to phase fraction in compressible mixtures.
- SPH14 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 Grid1 hits
- Grid arrangement that stores pressure and velocity components at different locations.
- TENO15 hits
- Targeted ENO. Lower-dissipation shock-capturing scheme (5/6th order) than WENO.
- TVD6 hits
- Total Variation Diminishing. Monotonicity condition preventing spurious oscillations.
- VOF7 hits
- Volume of Fluid. Tracks volume fractions of each phase in multiphase flow.
- Volume Fraction2 hits
- Fraction of a cell volume occupied by a particular phase in multiphase flow.
- Vorticity12 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.
- WENO17 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.
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