A Van Leer shock capturing algorithm for the Euler equations
Abstract
Van Leer's secondorder accurate sequel to the firstorder method of Godunov, originally formulated in the framework of Lagrangean fluid dynamics, is revised so as to apply to numerical calculation of solutions to the onedimensional Euler equations of compressible flow. Comparisons of performance between the first and second order method are shown for the linear shock tube problem. Use of artificial viscosity, as opposed to oscillation limiting, is discussed.
 Publication:

Final Report Ballistic Research Labs
 Pub Date:
 October 1984
 Bibcode:
 1984brla.rept.....C
 Keywords:

 Compressible Flow;
 Euler Equations Of Motion;
 Gas Dynamics;
 Shock Tubes;
 Viscosity;
 Algorithms;
 Computerized Simulation;
 Guns (Ordnance);
 Mathematical Models;
 One Dimensional Flow;
 Symmetry;
 Fluid Mechanics and Heat Transfer