Abstract

This work is devoted to the modification of the grid-characteristic numerical method. We propose using joint structured regular and curved computational grids to describe the complex geometric shape of objects and save computing resources. In subdomains, where possible, we propose use structured regular computational grids conformal with structured curved grids. Moreover, we use different calculation algorithms in subdomains with structured regular grids and with curved grids. The elastic and acoustic wave equations are also jointly solved in various subdomains of the integration domain for a more accurate description of the simulated model. We use the corresponding contact conditions at the boundaries between subdomains with different types of computational grids, different solved systems of equations, and different elastic and acoustic parameters of the media. We have proved in this paper the equivalence of using the contact condition of complete adhesion with the absence of an interface in the case of the same elastic and acoustic properties. The proposed modification of the grid-characteristic method was tested on the problems of studying the earthquake resistance of a bridge over a river and a bridge over a highway.

中文翻译：

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联合结构规则和曲线网格的网格特征方法，用于复杂形状物体中的弹性和声波耦合现象建模

摘要

这项工作致力于修改网格特征数值方法。我们建议使用联合结构化的规则和弯曲计算网格来描述对象的复杂几何形状并节省计算资源。在子域中，在可能的情况下，我们建议使用与结构化弯曲网格一致的结构化规则计算网格。此外，我们在具有结构化规则网格和弯曲网格的子域中使用不同的计算算法。弹性波和声波方程也可以在积分域的各个子域中共同求解，以更准确地描述仿真模型。我们在具有不同类型的计算网格，不同方程组的子域之间的边界处使用相应的接触条件，以及介质的不同弹性和声学参数。我们已经在本文中证明了在弹性和声学特性相同的情况下，使用完全粘合而不存在界面的接触条件的等效性。针对研究河上桥梁和公路上桥梁的抗震性问题，对网格特征方法的改进方案进行了测试。