High-order localized time integration for grid-induced stiffness
作者： C. Chauviere , J.S. Hesthaven , A. Kanevsky , T. Warburton
DOI: 10.1016/B978-008044046-0.50461-9
关键词:
摘要: We discuss two time integration techniques, aimed at overcoming local grid-induced stiffness in discontinuous Galerkin methods. A time-stepping approach, utilizing the properties of scheme, is shown to work very well. Recently developed additive Runge-Kutta methods are more general and found be promising when combined with efficient preconditioning.
sci-hub.st 参考文章(9)
Christopher A. Kennedy, Mark H. Carpenter, Fourth-order 2N-storage Runge-Kutta schemes ,(1994)
George Em Karniadakis, Spencer J Sherwin, Spectral/hp Element Methods for CFD ,(1999)
Chi-Wang Shu, Bernardo Cockburn, Runge-Kutta discontinuous Galerkin methods for convection-dominated problems ,(2000)
J. S. Hesthaven, C. H. Teng, Stable Spectral Methods on Tetrahedral Elements SIAM Journal on Scientific Computing. ,vol. 21, pp. 2352- 2380 ,(2000) , 10.1137/S1064827598343723
Clint Dawson, Robert Kirby, High Resolution Schemes for Conservation Laws with Locally Varying Time Steps SIAM Journal on Scientific Computing. ,vol. 22, pp. 2256- 2281 ,(2000) , 10.1137/S1064827500367737
J.S Hesthaven, T Warburton, Nodal high-order methods on unstructured grids Journal of Computational Physics. ,vol. 181, pp. 186- 221 ,(2002) , 10.1006/JCPH.2002.7118
J.S. Hesthaven, Spectral penalty methods Applied Numerical Mathematics. ,vol. 33, pp. 23- 41 ,(2000) , 10.1016/S0168-9274(99)00068-9
Marcus J. Grote, Thomas Huckle, Parallel Preconditioning with Sparse Approximate Inverses SIAM Journal on Scientific Computing. ,vol. 18, pp. 838- 853 ,(1997) , 10.1137/S1064827594276552
Patrick Rasetarinera, M.Y. Hussaini, An efficient implicit discontinuous spectral Galerkin method Journal of Computational Physics. ,vol. 172, pp. 718- 738 ,(2001) , 10.1006/JCPH.2001.6853