Third-order method for simulation of compressible flows

• Autorzy: Wieteska R. , Rokicki J.
• Konferencja: Polish Conference of Fluid Mechanics (18 ; 21-25.09.2008 ; Jastrzębia Góra, Poland)
• Języki publikacji: EN

Abstrakty

EN

The paper discusses finite volume WENO reconstruction applied to simulation of compressible 3D Euler flows. The main objective of this work is presentation of the new reconstruction procedure (third-order of accuracy in space), together with the procedure for integration of numerical fluxes applied to simulations of compressible 3D Euler flows, using unstructured meshes.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2008
• Tom: Vol. 60, nr 6
• Strony: 491--507
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Wieteska R.

autor

Rokicki J.

• Warsaw University of Technolgy, Institute of Aeronautics and Applied Mechanics, ul. Nowowiejska 24, 00-665 Warsaw, Poland,

Bibliografia

• 1. C. Hu, CH.-W. SHU, Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes, J. Comput. Phys., 150, 97-127, 1999.
• 2. G.S. JlANG, CH.-W. SHU, Efficient Implementation of Weighted ENO Schemes, J. Comput. Phys., 126, 202-228, 1996.
• 3. Y. Liu, CH.-W. SHU, E. TADMOR, M. ZHANG, Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes, Commun. Comput. Phys., 5, 933-963, 2007.
• 4. Y. Liu, M. VlNOKUR, Exact Integrations of Polynomials and Symmetric Quadrature Formulas over Arbitrary Polyhedral Grids, J. Comput. Phys., 140, 122-147, 1998.
• 5. R. WIETESKA, J. MAJEWSKI, J. ROKICKI, Investigation of WENO Schemes for 3D Unstructured Grids, Computer-Assisted Mechanics and Engineering Science Journal, 14, 457-470, 2007.
• 6. R. WIETESKA, Higher Order WENO method in simulation of Transonic Flows [in Polish], PhD Thesis, Warsaw, Warsaw University of Technology, 2007.
• 7. J. ROKICKI, J.M. FLORYAN, Domain Decomposition and the Compact Fourth-Order Algorithm for the Navier-Stokes Equations, J. Comput. Phys., 116, 79-96, 1995.