Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520682 | Journal of Computational Physics | 2011 | 14 Pages |
Abstract
In the high frequency regime, the geometrical-optics approximation for the Helmholtz equation with a point source results in an Eikonal equation for traveltime and a transport equation for amplitude. Because the point-source traveltime field has an upwind singularity at the source point, all formally high-order finite-difference Eikonal solvers exhibit first-order convergence and relatively large errors. In this paper, we propose to first factor out the singularities of traveltimes, takeoff angles, and amplitudes, and then we design high-order Lax–Friedrichs sweeping schemes for point-source traveltimes, takeoff angles, and amplitudes. Numerical examples are presented to demonstrate the performance of our new method.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Songting Luo, Jianliang Qian,