Third-order WENO method on 3D unstructured tetrahedral mesches

• Autorzy: Rokicki J. , Wieteska R.

Warianty tytułu

PL

Metoda WENO trzeciego rzędu na przestrzennych siatkach niestrukturalnych

• Języki publikacji: EN

Abstrakty

EN

The paper discusses finite volume WENO reconstruction applied to simulation of compressible 3D Euler flows using unstructured tetrahedral meshes. The main point of interest is the case when the mesh becomes highly irregular or stretched. Special transformation is used in such cases to recover the third-order accuracy of reconstruction. This transformation has to be locally applied to each stencil on which the reconstruction is sought. This procedure is verified first on a sequence of 3D meshes in a unit cube. The performance of the full algorithm (including the extended nonlinear weighing) is verified for the 3D subsonic and transonic flows in a channel with smooth sinusoidal bump.

Słowa kluczowe

EN

flow; WENO; numerical computation

PL

WENO; przepływ; metoda numeryczna

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems : journal of transdisciplinary systems science
• Rocznik: 2006
• Tom: Vol. 11, nr 1
• Strony: 74--85
• Opis fizyczny: bibliogr. 6 poz.

Twórcy

autor

Rokicki J.

autor

Wieteska R.

• Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics, Nowowiejska 24, 00-660 Warsaw

Bibliografia

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• [2] SHI J., HU CH., SHU CH-W., A Technique of Treating Negative Weights in WENO Schemes. Journal of Computational Physics, 2002, 175, 108-127.
• [3] Hu CH., SHU CH-W., Weighted Essentially Non-oscillatory Schemes on Triangular Meshes. Journal of Computational Physics, 2002, 150, 108-127.
• [4] WIETESKA R., MAJEWSKI J., ROKICKI J., Investigation of WENO Schemes For 3D Unstructured Grids. Computer Assisted Mechanics and Engineering Sciences, 2006 (in print).
• [5] HENRICK A. K., ASLAM T. D., POWERS J. M., Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. Journal of Computational Physics, 2005,207,542-567.
• [6] SCHATZMAN M., Numerical Analysis - a mathematical introduction. Clarendon Press - Oxford, 2002.