NPAC Technical Report SCCS-675

Derivation of the Beam and Warming Algorithm for Compressible Navier-Stokes Equations

Ammar Degani, Geoffrey Fox

Submitted December 14 1994


Abstract

The Beam and Warming algorithm for solving the compressible Navier-Stokes Equations is derived here for a target audience not familiar with Computational Fluid Dynamics (CFD). Starting with the differential form of the equations in conservative form, the algorithm is derived with particular emphasis on the various simplifications which are necessary for an efficient implementation. In order to highlight the important aspects of the algorithm, only the two-dimensional equations are considered with simple central differencing and no artificial dissipation.


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