Multidimensional formulation of CSCM  An upwind flux difference eigenvector split method for the compressible NavierStokes equations
Abstract
In studies concerned with the quasi onedimensional streamtube equations, Lombard et al. (1982) have presented the basis for a new family of implicit finite difference methods for the compressible Euler and NavierStokes equations. According to a procedure, termed the Conservative SupraCharacteristics Method (CSCM), difference equations are formed of the pieces from a natural characteristics based eigenvector decomposition of the adjacent two point flux difference for the hyperbolic (convective) terms in any general curvilinear coordinate direction. The present investigation is concerned with a linearized approximately factored implicit algorithm for a more robust and rapidly converging pseudo timedependent finite difference scheme for the compressible NavierStokes equations. The CSCM flux difference split upwind implicit algorithm is extended to multidimensions. A twodimensional axisymmetric transonic nozzle flow problem with weak oblique shock is solved.
 Publication:

6th Computational Fluid Dynamics Conference
 Pub Date:
 1983
 Bibcode:
 1983cfd..conf..649L
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 Method Of Characteristics;
 NavierStokes Equation;
 Corner Flow;
 Eigenvectors;
 Factorization;
 Nozzle Flow;
 Transonic Flow;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer