The development of efficient methods for the compressible Navier-Stokes equations is desired. Numerical simulations by the popular Beam-Warming-Steger method is bounded both by the CPU time and by the temporary storage to invert block-tridiagonal matrices. Various factorization of the implicit procedure can be applied to improve convergence rates for steady-state problems. In this paper, a new LU factored method is developed by splitting the implicit procedure into inversions of the lower and upper bidiagonal matrices. This approximate LU factorization is derived from the concepts of the flux vector splitting technique and the implicit MacCormack method.
|Title of host publication||Lecture Notes in Physics|
|Number of pages||5|
|Publication status||Published - 1985 Jan 1|
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