High-order numerical method for 2D biharmonic interface problem

被引：4

作者：

Tavakoli Tameh, Mahboubeh ^{[1
]}

Shakeri, Fatemeh ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, Iran

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2022年 / 94卷 / 10期

基金：

美国国家科学基金会;

关键词：

biharmonic interface problem; Calderon's operators; difference potentials; finite difference method; FINITE-ELEMENT METHODS; DIFFERENCE POTENTIALS; HELMHOLTZ-EQUATION; FORMULATION; SCHEME;

D O I：

10.1002/fld.5120

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a robust and effective method for the numerical solution of the biharmonic interface problem with discontinuities in both the solution and its derivatives. We use a mixed scheme, in which the biharmonic equation is decoupled to two Poisson equations. The proposed approach is based on the method of difference potentials combined with finite difference schemes on regular structured grid to solve this problem with high-order accuracy on nonconforming domains. Representative numerical experiments confirm the accuracy and effectiveness of the proposed method and its ability to handle problems with coupled equations.

引用

页码：1662 / 1678

页数：17

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