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Development of high-order Taylor-Galerkin schemes for LES. (English) Zbl 0982.76058
Summary: We describe the implementation and development of a new Taylor-Galerkin finite element scheme within an unstructured/hybrid parallel solver. The scheme has been specifically conceived for unsteady LES: it is third-order in space and time, and has a low dissipative error. Minimal additional CPU costs are achieved by using a new approximation of the finite element integrals and a simple iterative method for approximate inversion of the modified mass matrix. Basic convective tests are carried out in two and three dimensions for arbitrary elements.

76M10 Finite element methods applied to problems in fluid mechanics
76F65 Direct numerical and large eddy simulation of turbulence
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