A Novel Localized Meshless Collocation Method for Numerical Simulation of Flume Dynamic Characteristics

ZENG Weihong; FU Zhuojia; TANG Zhuochao

doi:10.21656/1000-0887.420246

Volume 43 Issue 4

Apr. 2022

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ZENG Weihong, FU Zhuojia, TANG Zhuochao. A Novel Localized Meshless Collocation Method for Numerical Simulation of Flume Dynamic Characteristics[J]. Applied Mathematics and Mechanics, 2022, 43(4): 392-400. doi: 10.21656/1000-0887.420246

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A Novel Localized Meshless Collocation Method for Numerical Simulation of Flume Dynamic Characteristics

doi: 10.21656/1000-0887.420246

College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China

Received Date: 2021-08-20
Rev Recd Date: 2021-10-05

Available Online: 2022-03-21

Publish Date: 2022-04-01

Abstract

Abstract

The localized boundary knot method (LBKM) is a novel meshless collocation technology based on the non-singular semi-analytical basis functions and the moving least squares theory, and expresses the unknown variable at each knot as a linear combination of physical quantities at nodes inside its corresponding local subdomain. The LBKM was used to study the numerical wave flume. Firstly, the appropriate shape parameters for the non-singular semi-analytical basis functions of the Laplace operator were derived by the benchmark example. Further, the numerical results obtained with fewer nodes and appropriate parameters were in good agreement with the referential results. Finally, the effects of the underwater breakwater on wave propagation were investigated to protect coastal buildings. The results show that, when the wave interacts with the trapezoidal breakwater, the wave crest will become steeper, and the wave trough will become relatively flatter, which provides a numerical reference for the research and design of the coastal breakwater.
- localized boundary knot method,
- meshless method,
- non-singular semi-analytical basis function,
- wave,
- breakwater

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References

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