Finite-difference algorithm with local time-space grid refinement for simulation of waves |
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| Authors: | Vadim Lisitsa Galina Reshetova Vladimir Tcheverda |
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| Institution: | 1. Institute of Petroleum Geology and Geophysics of SB RAS, 3 Koptug pr., Novosibirsk, Russia
2. Institute of Computational Mathematics and Mathematical Geophysics of SB RAS, 6 Lavrentev pr., Novosibirsk, Russia
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| Abstract: | This paper presents a new approach to a local time-space grid refinement for a staggered-grid finite-difference simulation
of waves. The approach is based on approximation of a wave equation at the interface where two grids are coupled. As no interpolation
or projection techniques are used, the finite-difference scheme preserves second order of convergence. We have proved that
this approach is low-reflecting, the artificial reflections are about 10 − 4 of an incident wave. We have also shown that if a successive refinement is applied, i.e. temporal and spatial steps are refined
at different interfaces, this approach is stable. |
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