计算流固耦合问题散射共振的有限元轮廓积分法

IF 3.8 2区 物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Journal of Computational Physics Pub Date : 2024-10-29 DOI:10.1016/j.jcp.2024.113539
Yingxia Xi , Xia Ji
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引用次数: 0

摘要

本文探讨了流固相互作用问题的散射共振计算。散射共振是非紧凑域问题离散谱数据的替代品,在科学和工程的许多领域都非常重要。对于特殊圆盘情况,我们得到了可用作参考解的解析解。对于一般情况,我们使用 Dirichlet 到 Neumann(DtN)映射截断无界域。使用标准线性拉格朗日元素进行离散化,从而产生非线性代数特征值问题。然后,我们用并行谱指标法求解非线性代数特征值问题。最后,我们给出了数值示例。
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A finite element contour integral method for computing the scattering resonances of fluid-solid interaction problem
The paper considers the computation of scattering resonances of the fluid-solid interaction problem. Scattering resonances are the replacement of discrete spectral data for problems on non-compact domains which are very important in many areas of science and engineering. For the special disk case, we get the analytical solution which can be used as reference solutions. For the general case, we truncate the unbounded domain using the Dirichlet-to-Neumann (DtN) mapping. Standard linear Lagrange element is used to do the discretization which leads to nonlinear algebraic eigenvalue problems. We then solve the nonlinear algebraic eigenvalue problems by the parallel spectral indicator methods. Finally, numerical examples are presented.
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来源期刊
Journal of Computational Physics
Journal of Computational Physics 物理-计算机:跨学科应用
CiteScore
7.60
自引率
14.60%
发文量
763
审稿时长
5.8 months
期刊介绍: Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.
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