Solving the compressible Navier-Stokes equations with finite elements using a multifrontal method. (English) Zbl 0699.76080

Summary: Both the explicit Taylor-Galerkin scheme, based on a finite-element formulation, and the multifrontal method are specially adapted to process unstructured problems. The explicit Taylor-Galerkin scheme is designed for fluid dynamics computations on unstructured grids and produces an irregular sparse matrix that will be factorized using a multifrontal method. The presentation of this new method also involves the use of vectorization and micro- and multitasking techniques on the IBM 3090. The calculation of a Kármán-Vortex-Street is used as a test problem for this method.


76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
35Q30 Navier-Stokes equations
76M99 Basic methods in fluid mechanics
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