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. © 2011 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Chikhaoui, O., Gressier, J., & Grondin, G. (2011). Assessment of the spectral volume method on inviscid and viscous flows. In Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010 (pp. 67–72). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-17884-9_6
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