当前位置: X-MOL 学术J. Comput. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Elastodynamic 2D-1D coupling using the DtN method
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2021-09-21 , DOI: 10.1016/j.jcp.2021.110722
Daniel Rabinovich , Dan Givoli

Coupling of a 2D model and a 1D model, to form a hybrid mixed-dimensional model, is considered in the context of elastic wave propagation. A Dirichlet-to-Neumann (DtN) method is used to perform this coupling. This approach is an extension of previous work (which was applied to steady-state wave problems) to the time-dependent regime. It is based on enforcing the continuity of the DtN map, relating the displacements to the tractions, on the 2D-1D interface. To apply the DtN map, the approach of discretization in time first (the Rothe method) is adopted, resulting in an elliptic problem at each time step. The more typical case, where longitudinal waves dominate in the 1D sub-domain, is considered first. Then the more general case is considered, where transverse waves are present as well, and several ways to handle it are discussed. The proposed DtN approach is compared to the simpler Panasenko semi-weak approach, and is shown to be advantageous, in particular in the presence of transverse waves.



中文翻译:

使用 DtN 方法的弹性动力学 2D-1D 耦合

在弹性波传播的背景下,考虑将 2D 模型和 1D 模型耦合以形成混合混合维模型。Dirichlet-to-Neumann (DtN) 方法用于执行此耦合。这种方法是先前工作(应用于稳态波问题)到时间依赖机制的扩展。它基于在 2D-1D 界面上强制 DtN 贴图的连续性,将位移与牵引力相关联。为了应用 DtN 映射,首先采用时间离散化的方法(Rothe 方法),导致每个时间步长的椭圆问题。首先考虑更典型的情况,其中纵波在一维子域中占主导地位。然后考虑更一般的情况,其中也存在横波,并讨论了几种处理它的方法。

更新日期:2021-09-30
down
wechat
bug