Dispersion induced oscillations in finite element solutions of the Euler equations
Abstract
Dispersive errors in the discretization of the steady Euler equations describing the flow of a compressible, inviscid, ideal gas can produce low wave number oscillations near regions of high gradient. A linearized analysis is presented which allows one to predict the location and frequency of these oscillations. This analysis is applied to three numerical schemes: Galerkin finite element, cellvertex finite element, and central difference finite element. Numerical experiments are presented verifying the analysis.
 Publication:

Finite Element Analysis in Fluids
 Pub Date:
 1989
 Bibcode:
 1989feaf.proc..775S
 Keywords:

 Euler Equations Of Motion;
 Finite Element Method;
 Ideal Gas;
 Inviscid Flow;
 Oscillating Flow;
 Compressible Flow;
 Finite Difference Theory;
 Fourier Analysis;
 Galerkin Method;
 Fluid Mechanics and Heat Transfer