Stable discontinuous staggered grid in the finite-difference modelling of seismic motion
Article first published online: 29 SEP 2010
© 2010 The Authors Geophysical Journal International © 2010 RAS
Geophysical Journal International
Volume 183, Issue 3, pages 1401–1407, December 2010
How to Cite
Kristek, J., Moczo, P. and Galis, M. (2010), Stable discontinuous staggered grid in the finite-difference modelling of seismic motion. Geophysical Journal International, 183: 1401–1407. doi: 10.1111/j.1365-246X.2010.04775.x
- Issue published online: 15 NOV 2010
- Article first published online: 29 SEP 2010
- Accepted 2010 August 13. Received 2010 August 2; in original form 2010 April 6
- Computational seismology;
- Theoretical seismology;
- Wave propagation
We present an algorithm of the spatial discontinuous grid for the 3-D fourth-order velocity–stress staggered-grid finite-difference modelling of seismic wave propagation and earthquake motion. The ratio between the grid spacing of the coarser and finer grids can be an arbitrary odd number. The algorithm allows for large numbers of time levels without inaccuracy and eventual instability due to numerical noise inevitably generated at the contact of two grids with different spatial grid spacings. The key feature of the algorithm is the application of the Lanczos downsampling filter.
The algorithm of the discontinuous grid is directly applicable also to the displacement-stress staggered-grid finite-difference scheme.