Amestoy, Patrick; Tilch, Ralf Solving the compressible Navier-Stokes equations with finite elements using a multifrontal method. (English) Zbl 0699.76080 IMPACT Comput. Sci. Eng. 1, No. 1, 93-107 (1989). 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. Cited in 1 Document MSC: 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 35Q30 Navier-Stokes equations 76M99 Basic methods in fluid mechanics Keywords:explicit Taylor-Galerkin scheme; finite-element formulation; multifrontal method; unstructured grids; irregular sparse matrix; vectorization; IBM 3090; Kármán-Vortex-Street Software:MA32; Harwell-Boeing sparse matrix collection PDFBibTeX XMLCite \textit{P. Amestoy} and \textit{R. Tilch}, IMPACT Comput. Sci. Eng. 1, No. 1, 93--107 (1989; Zbl 0699.76080) Full Text: DOI