THE PIECEWISE EXPONENTIAL METHOD (PEM) FOR THE NUMERICAL SIMULATION OF WAVE PROPAGATION. PART 1: LONGITUDINAL WAVE IN A BAR
✍ Scribed by ZALIZNIAK, V.
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 140 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1069-8299
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✦ Synopsis
A numerical method for the simulation of elastic wave propagation is presented. Some important practical requirements for ®nite 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 of exponential functions with variable coecients in every zone on a computational grid. Secondly, assuming that the physical parameters are constant in every zone the wave equation is represented as two advection equations for Riemann invariants. Numerical results for dierent problems of wave propagation in comparison with the analytical solutions are presented that demonstrate the eectiveness of the proposed method for elastodynamics. # 1997 by