CFD/ FSI/ Fluid Dynamics/ Mechanics: Terms/ Concepts / Methods

Flow problems

• Rayleigh Flow
• Poiseuille flow
• Stagnation Point Flow
• the Stokes problem (diffusion equation)
• Stokes flow (creeping flow)
• Couette flow
• Taylor-Couette flow
• cavity flow
• turbulent flow
• Boussinesq
• Steady vs unsteady flows
• Compressible and incompressible flows
• porous media flows
• Rarefied flow vs transitional flow
• Newtonian & Non-Newtonian flows
• Multi-phase flows
• Particle-Laden Flow
• Flow with heat transfer
• Boundary layer and transition
• Hypersonic vs reacting flows
• Combustion
• Buoyant flows
• coflow
• Reactive flow
• High-speed and chemical reacting flows
• Environmental flows
• Coastal and ocean fluid dynamics
• Microfluidics
• Hemodynamics (AmE), hæmodynamics (BrE)  - (blood flow)
• Fluid-Solid Coupling
• Fluid-Structure Interaction
• Bingham fluid
• Power-law fluid
• D'Allembert's Paradox

Methods / Theories

• Finite difference method (FDM)
• Finite Element Method (FEM)
• Finite Volume Method (FVM)
• The arbitrary Lagrangian Eulerian (ALE) method
• Spectral Element Method
• Boundary element Method (BEM)
• Vorticity based methods
• Lattice gas/lattice Boltzmann (LB)
• Spectral/hp Element 
• Discontinuous Galerkin methods
• High-resolution discretization schemes
• High-order method
• Meshfree methods
• Smoothed-particle hydrodynamics
• Stochastic Eulerian Lagrangian method
• Blade element theory
• Implicit iterative methods
• Variational Multiscale Method (VMS)
• hybrid Eulerian/Lagrangian Material Point Method
• classical laminated plate theory (CLPT)

Boundary conditions

• kinematic boundary condition
• Dirichlet 
• Neumann
• wall 
• inlet
• outlet 
• Axisymmetric
• Symmetric
• constant pressure
• Pressure far-field 
• Periodic/cyclic
• Thermo baffle
• Thermal
• Radiation
• discrete phase
• Chemical reaction
• zero flux 

Boundary conditions

• viscous force
• centrifugal force
• coriolis force

Instability

• Kelvin-Helmholtz instability
• Rayleigh–Taylor instability
• Taylor-Couette instability

Turbulence

• Integral length scales
• Kolmogorov scale (smallest dissipative scales)
• Taylor microscales
• Reynolds-averaged Navier-Stokes (RANS) 
• Direct numerical simulation (DNS)
• Large eddy simulation (LES)
• Smagorinsky Model
• sub-grid scale
• Detached eddy simulations (DES) 
• Reynolds stress model (RSM)
• Probability density function (PDF) methods
• k-epsilon
• k-omega
• Spalart-Allmaras
• Boundary layer 

Multiphase/ Interface 

• Level Set (LS) (Interface Capturing)
• Volume Of Fluid (VoF) (Interface Capturing)
• Moment Of Fluid (Interface Capturing)
• Arbitrary Lagrangian Eulerian moving mesh approach (Interface Tracking)
• Front Tracking (Interface Tracking)
• Meshless particle methods (Interface Tracking)
• Immersed boundary method 

Heat and Mass Transfer

• Advection
• Convection
• Diffusion

Math

• conservation, accuracy, fidelity, boundedness, stability, convergence
• existence (solution exist)
• singularity (smoothness)
• Newmark-beta method
• the Generalized Minimal Residual (GMRES) method.
• Helmholtz decomposition
• Least-squares
• Galerkin
• Leap-frog method (second order, explicit)
• Crank-Nicolson method (second order, implicit)
• Lax-Wendroff method (second order, explicit)
• Third-order explicit Taylor-Galerkin method
• Fourth-order implicit Taylor-Galerkin method
• Burgers' equation