Short Note: A stability analysis for the spectral volume method on tetrahedral grids

作者: K. Van den Abeele , G. Ghorbaniasl , M. Parsani , C. Lacor

DOI: 10.1016/J.JCP.2008.10.011

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参考文章(17)
Sigal Gottlieb, Chi-Wang Shu, Total variation diminishing Runge-Kutta schemes Mathematics of Computation. ,vol. 67, pp. 73- 85 ,(1998) , 10.1090/S0025-5718-98-00913-2
Rob Harris, Z.J. Wang, Yen Liu, Efficient quadrature-free high-order spectral volume method on unstructured grids Journal of Computational Physics. ,vol. 227, pp. 1620- 1642 ,(2008) , 10.1016/J.JCP.2007.09.012
Bernardo Cockburn, San-Yih Lin, Chi-Wang Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems Journal of Computational Physics. ,vol. 84, pp. 90- 113 ,(1989) , 10.1016/0021-9991(89)90183-6
Yuzhi Sun, Z.J. Wang, Yen Liu, Spectral (finite) volume method for conservation laws on unstructured grids VI: Extension to viscous flow Journal of Computational Physics. ,vol. 215, pp. 41- 58 ,(2006) , 10.1016/J.JCP.2005.10.019
Qian-Yong Chen, Partitions of a Simplex Leading to Accurate Spectral (Finite) Volume Reconstruction SIAM Journal on Scientific Computing. ,vol. 27, pp. 1458- 1470 ,(2005) , 10.1137/030601387
Kris Van den Abeele, Chris Lacor, An accuracy and stability study of the 2D spectral volume method Journal of Computational Physics. ,vol. 226, pp. 1007- 1026 ,(2007) , 10.1016/J.JCP.2007.05.004
Yen Liu, Marcel Vinokur, Z.J. Wang, Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems Journal of Computational Physics. ,vol. 212, pp. 454- 472 ,(2006) , 10.1016/J.JCP.2005.06.024
Kris Van den Abeele, Tim Broeckhoven, Chris Lacor, Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm Journal of Computational Physics. ,vol. 224, pp. 616- 636 ,(2007) , 10.1016/J.JCP.2006.10.022