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A weak statement perturbation CFD algorithm with high-order phase accuracy for hyperbolic problems. (English) Zbl 0887.76058

We present a weak statement perturbation always yielding simple tridiagonal forms that can reduce, or annihilate in special cases, the Taylor series truncation error to high order. The procedure is analyzed via a von Neumann frequency analysis, and CFD solutions are reported for verification in one and two dimensions. Finally, using the element specific (local) Courant number, a continuum (total) time integration procedure is derived that can directly produce a final time solution independent of mesh measure.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
35L65 Hyperbolic conservation laws
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