Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite Difference Methods
Abstract
The conservationlaw form of the inviscid gasdynamic equations has the remarkable property that the nonlinear flux vectors are homogeneous functions of degree one. This property readily permits the splitting of flux vectors into subvectors by similarity transformations so that each subvector has associated with it a specified eigenvalue spectrum. As a consequence of flux vector splitting, new explicit and implicit dissipative finitedifference schemes are developed for firstorder hyperbolic systems of equations. Appropriate onesided spatial differences for each split flux vector are used throughout the computational field even if the flow is locally subsonic. The results of some preliminary numerical computations are included.
 Publication:

Journal of Computational Physics
 Pub Date:
 April 1981
 DOI:
 10.1016/00219991(81)902102
 Bibcode:
 1981JCoPh..40..263S
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Gas Dynamics;
 Inviscid Flow;
 One Dimensional Flow;
 Vector Analysis;
 Algorithms;
 Conservation Laws;
 Eigenvalues;
 Hyperbolic Functions;
 Jacobi Matrix Method;
 Spatial Distribution;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer