التفاصيل البيبلوغرافية
| العنوان: |
ELASTIC WAVE PROPAGATION IN CURVILINEAR COORDINATES WITH MESH REFINEMENT INTERFACES BY A FOURTH ORDER FINITE DIFFERENCE METHOD. |
| المؤلفون: |
LU ZHANG1 lz2784@columbia.edu, SIYANG WANG2 siyang.wang@mdh.se, PETERSSON, N. ANDERS3 petersson1@llnl.gov |
| المصدر: |
SIAM Journal on Scientific Computing. 2021, Vol. 43 Issue 2, pA1472-A1496. 25p. |
| مصطلحات موضوعية: |
*FINITE difference method, *ELASTIC wave propagation, *CURVILINEAR coordinates, *FINITE differences, *ELASTIC waves, *DIFFERENCE operators, *PHONONIC crystals |
| مستخلص: |
We develop a fourth order accurate finite difference method for the three dimensional elastic wave equation in isotropic media with the piecewise smooth material property. In our model, the material property can be discontinuous at curved interfaces. The governing equations are discretized in second order form on curvilinear meshes by using a fourth order finite difference operator satisfying a summation-by-parts property. The method is energy stable and high order accurate. The highlight is that mesh sizes can be chosen according to the velocity structure of the material so that computational efficiency is improved. At the mesh refinement interfaces with hanging no des, physical interface conditions are imposed by using ghost points and interpolation. With a fourth order predictor-corrector time integrator, the fully discrete scheme is energy conserving. Numerical experiments are presented to verify the fourth order convergence rate and the energy conserving property. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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