An Edge Based Stabilized Finite Element Method For Solving Compressible Flows: Formulation and Parallel Implementation
نویسندگان
چکیده
This paper presents a nite element formulation for solving multidimensional compressible ows. This method is inspired by our experience with the SUPG, Finite Volume and Discontinuous-Galerkin methods. Our objective is to obtain a stable and accurate nite element formulation for multidimensional hyperbolic-parabolic problems with particular emphasis on compressible ows. In the proposed formulation, the upwinding e ect is introduced by considering the ow characteristics along the normal vectors to the element interfaces. This method is applied for solving inviscid, laminar and turbulent ows. The one-equation turbulence closure model of Spalart-Allmaras is used. Several numerical tests are carried out, and a selection of two and three-dimensional experiments is presented. The results are encouraging, and it is expected that more numerical experiments and theoretical analysis will lead to greater insight into this formulation. We also discuss algorithmic and parallel implementation issues.
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