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

Tzu Chiang Li, Chii-Jau Tang

Research output: Contribution to journalArticle

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

Fingerprint

nonlinear wave
grids
free surface flow
solitary wave
Laplace equation
Computational efficiency
Solitons
Program processors
Water
Numerical models
water depth
perturbation
solitary waves
water
method

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

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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.",
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Algebraic method of generating moving grid with local refinement applied to nonlinear-wave problems. / Li, Tzu Chiang; Tang, Chii-Jau.

In: Hangkong Taikong ji Minhang Xuekan/Journal of Aeronautics, Astronautics and Aviation, Vol. 39 B, No. 1, 01.04.2007, p. 7-14.

Research output: Contribution to journalArticle

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