Dispersion-corrected explicit integration of the wave equation

✍ Scribed by Steen Krenk

• Book ID: 104266895
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 211 KB
• Volume: 191
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00297-3

✦ Synopsis

A simple dispersion correction is introduced into the centered dierence explicit time integration scheme for wave propagation problems. The extra term introduces a change of the wave speed, depending on local wave characteristics. A rigorous theoretical analysis is provided for the scalar wave equation on a regular mesh, and a notable improvement in the ability to conserve wave fronts is demonstrated by two numerical examples. The correction is reinterpreted to apply to a typical ®nite element formulation in terms of mass and stiness matrices, resulting in a general dispersion correction of the explicit centered dierence time integration algorithm for acoustic and elastic wave propagation problems.