Energy-conserving local time stepping based on high-order finite elements for seismic wave propagation across a fluid-solid interface

作者: Dimitri Komatitsch , Julien Diaz , Ronan Madec

DOI: 10.3970/CMES.2009.049.163

关键词:

摘要: When studying seismic wave propagation in fluid-solid models based on a numerical technique the time domain with an explicit scheme it is often of interest to resort substepping because stability condition solid part medium can be more stringent than fluid. In such case, one should enforce conservation energy along interface matching algorithm order ensure accuracy and scheme. This not done available literature approximate techniques that do are used instead. We introduce energy-conserving local stepping method, which we need solve linear system interface. validate experiments performed using high-order finite elements. any other method diagonal mass matrix.

参考文章(52)
Dimitri Komatitsch, Stephen D. Gedney, Roland Martin, A variational formulation of a stabilized unsplit convolutional perfectly matched layer for the isotropic or anisotropic seismic wave equation Cmes-computer Modeling in Engineering & Sciences. ,vol. 37, pp. 274- 304 ,(2008) , 10.3970/CMES.2008.037.274
W.J. Mansur, D. Soares, An Efficient Time-Domain BEM/FEM Coupling for Acoustic-Elastodynamic Interaction Problems Cmes-computer Modeling in Engineering & Sciences. ,vol. 8, pp. 153- 164 ,(2005) , 10.3970/CMES.2005.008.153
Emmanuel Chaljub, Dimitri Komatitsch, Jean-Pierre Vilotte, Yann Capdeville, Bernard Valette, Gaetano Festa, Spectral-element analysis in seismology Advances in Wave Propagation in Heterogenous Earth. ,vol. 48, pp. 365- 419 ,(2007) , 10.1016/S0065-2687(06)48007-9
Nathan M. Newmark, A Method of Computation for Structural Dynamics Transactions of the American Society of Civil Engineers. ,vol. 127, pp. 1406- 1432 ,(1962) , 10.1061/TACEAT.0008448
Omar Nabih Ghattas, J. Bielak, E. J. Kim, Parallel Octree-Based Finite Element Method for Large-Scale Earthquake Ground Motion Simulation Cmes-computer Modeling in Engineering & Sciences. ,vol. 10, pp. 99- 112 ,(2005) , 10.3970/CMES.2005.010.099
Folco Casadei, Jean-Pierre Halleux, Binary spatial partitioning of the central‐difference time integration scheme for explicit fast transient dynamics International Journal for Numerical Methods in Engineering. ,vol. 78, pp. 1436- 1473 ,(2009) , 10.1002/NME.2533