Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation
Year: 2022
Author: Wensheng Zhang, Atish Kumar Joardar
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 891–911
Abstract
The stability of high-order finite-difference schemes on a staggered-grid for two-dimensional poroelastic wave equations with spatially varying material parameters is studied. Using the energy method, we obtain sufficient stability conditions. This allows to find suitable time and spatial steps according to material parameters and the difference scheme coefficients. Two numerical examples verify the theoretical analysis and show that the corresponding range for the time step is close to that in the necessary condition. The perfectly matched layer is adopted in order to eliminate boundary reflections.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.260122.280422
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 4 : pp. 891–911
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Stability poroelastic wave equation energy method high-order scheme wave simulation.
Author Details
Wensheng Zhang Email
Atish Kumar Joardar Email