A GENERAL ALGORITHM FOR COMPRESSIBLE AND INCOMPRESSIBLE FLOW—PART I. THE SPLIT, CHARACTERISTIC-BASED SCHEME

摘要

The paper outlines the formulation of a novel algorithm which can be used for the solution of both compressible and incompressible Navier-Stokes or Euler equations. Full incompressibility can be dealt with if the algorithm is used in its semi-explicit form and its structure permits arbitrary interpolation functions to be used avoiding the BabuSka-Brezzi restriction. In a fully explicit version it introduces a rational form of balancing dissipation avoiding the use of arbitrary parameters and forms for this.