Algebraic method of generating moving grid with local refinement applied to nonlinear-wave problems

Tzu Chiang Li, Chii-Jau Tang

Research output: Contribution to journalArticlepeer-review

Abstract

The article discussed the algebraic moving-grid generation method with stream-function flow model to study the nonlinear-wave problems involving largely-displaced boundary. By solving the Laplace equation transformed in a transient boundary-fitted grid system we were able to assess the local grid-refinement technique on two problems: one for a solitary wave propagating along a long channel of uniform water depth, and the other for the free-surface flow disturbed by a vertical plate accelerated horizontally in a resting water channel. We first validated the model by comparing the calculated results in various uniform grids with the small-time perturbation solution and other investigations, and then quantified the computational efficiency and solution accuracy of the result using the grid-refinement technique in numerical model. In our study, it showed that the numerical work using the locally-refined grids saves up to 50-60% of CPU time, as compared with those using uniformly fine grids at the comparable accuracy.

Original languageEnglish
Pages (from-to)7-14
Number of pages8
JournalHangkong Taikong ji Minhang Xuekan/Journal of Aeronautics, Astronautics and Aviation
Volume39 B
Issue number1
Publication statusPublished - 2007 Apr 1

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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