A numerical method for the simulation of elastic wave propagation is presented. Some important practical requirements for ยฎnite dierence methods are formulated. To satisfy these requirements, the proposed method is based on two key features. Firstly, the approximate solution is represented as a set
The piecewise exponential method (PEM) for the numerical simulation of wave propagation: a multidimensional wave problem
โ Scribed by V. Zalizniak
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 170 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
This paper presents the extension of the PEM scheme for the case of multidimensional wave problems. This is done on the basis of operator splitting and the PEM scheme for the one-dimensional wave equation given in the previous publication (V. Zalizniak, Commun. Numer. Meth. Engrg. 13 (3) (1997) 163ยฑ171). Numerical results for two problems of wave propagation in comparison with the analytical solutions are given to demonstrate the eectiveness of the proposed method for elastodynamics.
๐ SIMILAR VOLUMES
A numerical algorithm based on the method of characteristics is presented for calculating axisymmetric wave propagation problems of anisotropic solids. The algorithm is applied to study the dynamic behaviour of a transversely isotropic tube due to impact loading. The stability of the present algorit