Grid Convergence Analysis of Grid-Characteristic Method on Chimera Meshes in Ultrasonic Nondestructive Testing of Railroad Rail

被引：0
|
作者：
Kozhemyachenko, A. A. [1 ,2 ]
Favorskaya, A. V. [1 ,2 ]
机构：
[1] Natl Res Univ, Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Oblast, Russia
[2] Russian Acad Sci, Sci Res Inst Syst Anal, Moscow 117218, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 10期
基金：
俄罗斯科学基金会;
关键词：
numerical simulation; grid-characteristic method; Chimera meshes; nondestructive testing; ultrasonic method; rail; CABARET SCHEME; WAVE PHENOMENA; STRESS;
D O I：
10.1134/S0965542523100056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A three-dimensional direct problem of ultrasonic nondestructive testing of a railroad rail treated as a linear elastic medium is solved by applying a grid-characteristic method on curved structured Chimera and Cartesian background meshes. The algorithm involves mutual interpolation between Chimera and Cartesian meshes that takes into account the features of the transition from curved to Cartesian meshes in three-dimensional space. An analytical algorithm for generating Chimera meshes is proposed. The convergence of the developed numerical algorithms under mesh refinement in space is analyzed. A comparative analysis of the full-wave fields of the velocity modulus representing the propagation of a perturbation from its source is presented.
引用
收藏
页码：1886 / 1903
页数：18
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