High order characteristic flux averaging for the solution of the Euler equations
Abstract
A Godunov type averaging procedure is employed in a finite volume scheme for the determination of the flow quantities at the volume cell faces which separate constant left and right states on either side. The conventional Euler fluxes which are formed from the averaged flow variables are used for the finite difference update of the flow variables at the cell midpoints, and a simple backward linearized method of characteristics is used instead of the GodunovRieman solver to find the coefficients weighting the left and right states for the average of the flow variables at the cell faces. Sharp shock representation and favorably confined entropy levels show the high resolution of this simple form of the flux splitting approach.
 Publication:

Numerical Methods in Fluid Mechanics
 Pub Date:
 1986
 Bibcode:
 1986nmfm.conf...78E
 Keywords:

 Computational Grids;
 Euler Equations Of Motion;
 Finite Volume Method;
 Flow Distribution;
 Cauchy Problem;
 Convective Flow;
 Mach Number;
 Spherical Coordinates;
 Fluid Mechanics and Heat Transfer