A framework is presented for the construction of multidimensional slope limiting operators for two-dimensional MUSCL-type finite volume schemes on triangular grids. A major component of this new viewpoint is the definition of multidimensional "maximum principle regions." These are defined by local c
A low-diffusion MUSCL scheme for LES on unstructured grids
β Scribed by S. Camarri; M.V. Salvetti; B. Koobus; A. Dervieux
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 1001 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0045-7930
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β¦ Synopsis
We are interested in the development of large-eddy simulation (LES) methods for compressible flows in complex geometries. The starting point is a numerical scheme applicable to unstructured tetrahedrizations, conservative, upwind of MUSCL type and vertex centered. A low-diffusion version stabilized with sixthorder spatial derivatives is proposed. The obtained scheme is combined with two LES models, derived from the Smagorinsky model and its dynamic version. The basic test-case chosen is the flow around a square cylinder. Calculations around a forward-swept wing and a business jet are also presented.
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Numerical solution of differential equations on the surface of the sphere requires grid generation. Examples include numerical simulations of mantle convection, weather, and climate. Because of their ability to offer local resolution at modest computational cost, unstructured grids are attractive in
We present a new general-purpose advection scheme for unstructured meshes based on the use of a variation of the interface-tracking flux formulation recently put forward by O. Ubbink and R. I. Issa (J. Comput. Phys. 153, 26 (1999)), in combination with an extended version of the flux-limited advecti