Numerical experiments with the splitfluxvector form of the Euler equations
Abstract
An explicit, finitevolume algorithm based on the fluxvectorsplitting concept has been developed for the twodimensional Euler equations. The method is secondorder accurate in space and time, uses bodyconforming coordinate systems to map complex geometries to a uniform computational space, and is stable for Courant numbers as high as two. A variable time step, determined by the local Courant number, is used to accelerate convergence of steadystate calculations. This code has been used to calculate lifting and nonlifting transonic flow about airfoils, diffuser flows with shocks, and flows about a cylinder in the supersonic to hypersonic range. Characteristics of this type of splitfluxvector algorithm, as applied to twodimensional flows with shocks, are discussed.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1983
 Bibcode:
 1983aiaa.meetS....D
 Keywords:

 Euler Equations Of Motion;
 Numerical Flow Visualization;
 Two Dimensional Flow;
 Vector Analysis;
 Airfoil Profiles;
 Algorithms;
 Convergence;
 Eigenvalues;
 Finite Volume Method;
 Fluid Mechanics and Heat Transfer