Elastic wave propagation in curvilinear coordinates with mesh refinement interfaces by a fourth order finite difference method

05/29/2020
by   Lu Zhang, et al.
0

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 nodes, 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.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 17

page 18

05/24/2021

A high order finite difference method for the elastic wave equations in bounded domains with nonconforming interfaces

We develop a stable finite difference method for the elastic wave equati...
03/02/2021

An energy-based summation-by-parts finite difference method for the wave equation in second order form

We develop an energy-based finite difference method for the wave equatio...
07/05/2019

A stable discontinuous Galerkin method for linear elastodynamics in geometrically complex media using physics based numerical fluxes

High order accurate and explicit time-stable solvers are well suited for...
10/18/2021

A Stable FDTD Subgridding Scheme with SBP-SAT for Transient Electromagnetic Analysis

We proposed a provably stable FDTD subgridding method for accurate and e...
02/18/2021

Staggered mesh method for correlation energy calculations of solids: Second order Møller-Plesset perturbation theory

The calculation of the MP2 correlation energy for extended systems can b...
06/18/2020

Explicit coupling of acoustic and elastic wave propagation in finite difference simulations

We present a mechanism to explicitly couple the finite-difference discre...
12/13/2020

A non-balanced staggered-grid finite-difference scheme for the first-order elastic wave-equation modeling

We introduce an efficient and accurate staggered-grid finite-difference ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.