Some recent development of the numerical simulation methods for CFD(简化).pdf

Some recent development of the
numerical simulation methods for CFD
Liu Ruxun
Math., USTC, Hefei Anhui 230026, China
******@ustc.
What putational Fluid Dynamics (CFD) ?
CFD is the systematic application puting systems putational solution
techniques to mathematical models formulated to describe and simulate fluid dynamic
phenomena.
Simulation is used by engineers and physicists to forecast or reconstruct the
behaviour of an engineering product or physical situation under assumed or measured
boundary conditions (geometry, initial states, loads, etc.).
The importance simulation techniques have great developed in recent decade years:
of models is the foundation
[29] Quecedo M. et al, Comparison of two mathematical models for solving the dam break
problems using the FEM method, Comput. Methods Appl. Mech. Engrg.,194(2005)3984-4005
Adopted a wrong model!!
in solution algorithms
analysis (classic and numerical analysis, discrete mathematics)
puter Science (algorithms, coding, software)
Techniques
Lab putational Fluid Dynamics
May 28, 2004
Content

classical methods
„ 2- and Acceptor
„ 2- and Welch’s MAC (Marker and cell),PIC,FLIC
„ 2-’s QUICK (quadratic upstream interpolation for convective
ics) and Simple
„ 2- Leer’s MUSCL (monotonic upstream scheme for conservation law)
„ 2-’s PPM (piecewise parabolic method)
„ 2-’s TVD (total variation diminishing schemes)
development of numerical simulation method
„ 3- (essentially non-oscillatory schemes) and weighted ENO
„ 3- (finite volume methods) with unstructured meshes
„ 3- approximation methods, high pact and Pade
schemes
„ 3- (cubic interpolated propagation methods)
„ 3- (volume of fluid) and Level Set methods for tracking moving-
interface
„ 3- (Discontinuous Galerkin finite element meth