Equations of fluid flow, finite difference approximations and basic mathematical properties of each
Abstract
Fluid flow equations and their approximation by finite differences, including advection equations, compressible Euler equations, potential flow, and incompressible NavierStokes equations are introduced. Stability analysis of finite difference methods for initial boundary value problems is outlined. Finite element methods for simple steady flows and for unsteady flows are presented. Moving finite element methods are sketched.
 Publication:

In Von Karman Inst. for Fluid Dynamics Introduction to Computational Fluid Dyn. 70 p (SEE N8415429 0634
 Pub Date:
 1983
 Bibcode:
 1983icfd.vkif.....M
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Finite Element Method;
 Flow Equations;
 Flow Theory;
 Advection;
 Error Analysis;
 Euler Equations Of Motion;
 Galerkin Method;
 NavierStokes Equation;
 Numerical Stability;
 Potential Flow;
 Fluid Mechanics and Heat Transfer