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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.

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