Wave propagation in meshless numerical wave tank by using Hermite-type RPIM
| Autor: | Morteza Gholamipoor, Mahmoud Ghiasi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Polynomial
Hermite polynomials Wave propagation Applied Mathematics Linear system General Engineering 02 engineering and technology 01 natural sciences 010101 applied mathematics Computational Mathematics Algebraic equation Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Hermite interpolation Applied mathematics 0101 mathematics Analysis Mathematics Interpolation |
| Zdroj: | Engineering Analysis with Boundary Elements. 121:233-242 |
| ISSN: | 0955-7997 |
| DOI: | 10.1016/j.enganabound.2020.10.006 |
| Popis: | In this paper, the Hermite-type radial point interpolation method (RPIM) is proposed to develop the meshless numerical wave tank (NWT) for simulating the propagation of fully nonlinear water waves. The Hermite-type interpolation scheme, the radial basis functions (RBFs), and the polynomial functions are used to construct shape functions. These shape functions have better stability and can use any distribution nodes in the computational domain. The strong form of governing equation is transformed to a linear system of algebraic equations by the collocation approach. The material node approach is used to describe the fully nonlinear free surface boundary conditions, and the fourth-order Runge-Kutta (RK4) scheme is applied to update the free surface particles and the velocity potential. The numerical results are compared with other available solutions to confirm the accuracy and efficiency of the proposed numerical procedure. In addition, the accuracy and stability of Hermite-type RPIM compared with RPIM in this study. The numerical results demonstrate that good improvement in the accuracy of the numerical results is obtained after using the Hermite interpolation scheme. |
| Databáze: | OpenAIRE |
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