Third order nonoscillatory schemes for the Euler equations
Abstract
Two time level third order finite difference shockcapturing schemes based on applying the characteristic flux difference splitting to a modified flux which may have high order accuracy and either monotonicity preserving or essentially nonoscillatory (ENO) property have been developed for the Euler equations of gas dynamics. Two ways to achieve high order accuracy are described. One is based on upstream interpolation using Lagrange formula with van Leer's smoothness monitors. The other is based on ENO interpolation using reconstruction via primitive function approaches. For multidimensional problems, dimensional splitting is adopted for explicit schemes and standard ADI approximate factorization procedures are used for implicit schemes. Numerical examples to illustrate the performance of the proposed schemes are given.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1990
 Bibcode:
 1990aiaa.meetS....Y
 Keywords:

 Conservation Laws;
 Euler Equations Of Motion;
 Finite Difference Theory;
 Gas Dynamics;
 Shock Wave Attenuation;
 Computational Fluid Dynamics;
 Two Dimensional Flow;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer