Abstract
The compact high-order ‘Spectral Volume Method’ (SVM, Wang, J. Comput. Phys. 178(1):210–251) designed for conservation laws on unstructured grids is presented. Its spectral reconstruction is exposed briefly and its applications to the Euler equations are presented through several test cases to assess its accuracy and stability. Comparisons with classical methods such as MUSCL show the superiority of SVM. The SVM method arises as a high-order accurate scheme, geometrically flexible and computationally efficient.
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Typhon, http://typhon.sourceforge.net/
Wang, Z.J.: Spectral (finite) volume method for conservation laws on unstructured grids. basic formulation: Basic formulation. J. Comput. Phys. 178(1), 210–251 (May 2002)
Wang, Z.J., Zhang, L., Liu, Y.: Spectral (finite) volume method for conservation laws on unstructured grids iv: extension to two-dimensional systems. J. Comput. Phys. 194(2), 716–741 (March 2004)
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© 2011 Springer-Verlag Berlin Heidelberg
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Chikhaoui, O., Gressier, J., Grondin, G. (2011). Assessment of the Spectral Volume Method on Inviscid and Viscous Flows. In: Kuzmin, A. (eds) Computational Fluid Dynamics 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17884-9_6
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DOI: https://doi.org/10.1007/978-3-642-17884-9_6
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