Applications of a comprehensive grid method to solution of three-dimensional boundary value problems

Liseikin V.D.; Rychkov A.D.; Kofanov A.V.

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Applications of a comprehensive grid method to solution of three-dimensional boundary value problems

机译：综合网格法在三维边值问题求解中的应用

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This paper describes some applications to three-dimensional problems of a comprehensive grid generation method that relies on inverted Beltrami equations in control metrics. The method enables one to generate in a unified manner both fixed and adaptive grids in domains and on surfaces with complicated geometry and/or multi-scaled physical quantities. The applications are related to the solutions of singularly perturbed equations with interior and boundary layers and to the solution of the heat equation in a two-phased medium modelling heat transfer between a solid material and an embedded thermocouple.

机译：本文介绍了在控制量度中依赖于反向Beltrami方程的综合网格生成方法的三维问题的一些应用。该方法使人们能够以统一的方式在领域和具有复杂几何形状和/或多尺度物理量的表面上生成固定网格和自适应网格。这些应用涉及具有内部和边界层的奇异摄动方程的解以及涉及在固体和嵌入式热电偶之间进行热传递的两相介质建模的热方程的解。

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《Journal of Computational Physics》 |2011年第21期|共20页
作者
Liseikin V.D.; Rychkov A.D.; Kofanov A.V.;
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正文语种 eng
中图分类数学物理方法;
关键词
Three-dimensional grid generation methods; Numerical solution of Beltrami and diffusion equations; Adaptive grids;

机译：三维网格生成方法;Beltrami方程和扩散方程的数值解;自适应网格;

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1. Applications of a comprehensive grid method to solution of three-dimensional boundary value problems [J] . Liseikin V.D., Rychkov A.D., Kofanov A.V. Journal of Computational Physics . 2011,第21期

机译：综合网格法在三维边值问题求解中的应用
2. ABOUT SOLUTION OF MULTIPOINT BOUNDARY PROBLEMS OF THREE-DIMENSIONAL STRUCTURAL ANALYSIS WITH THE USE OF COMBINED APPLICATION OF FINITE ELEMENT METHOD AND DISCRETE-CONTINUAL FINITE ELEMENT METHOD. PART 1: FORMULATION AND BASIC PRINCIPLES OF APPROXIMATION [J] . Pavel A. Akimov, Oleg A. Negrozov International Journal for Computational Civil and Structural Engineering . 2018,第2期

机译：关于三维结构分析的多点边界问题的求解，结合有限元法和离散连续有限元法的应用。第1部分：公式和近似的基本原理
3. The boundary element method based on the three-dimensional elastostatic fundamental solution for the orthotropic multilayered space: Application to composite materials [J] . F. G. Benitez, J. Wideberg Computational Mechanics . 1996,第1期

机译：正交各向异性多层空间基于三维弹性静力基本解的边界元方法：在复合材料中的应用
4. A Non-iterative Method for the Elliptic Generation of Three-Dimensional Grids by using the Boundary Element Method [C] . H.K. Jeong, J.H. Kwon Numerical Grid Generation in Computational Field Simulations . 1996

机译：边界元法的三维网格椭圆生成的非迭代方法
5. A parallel CFD simulation system using three-dimensional generalized grids in the solution of moving boundary unsteady flows. [D] . Plotner, Douglas Lee. 2001

机译：并行CFD仿真系统，使用三维广义网格求解运动边界非恒定流。
6. A Newton–Krylov method with an approximate analytical Jacobian for implicit solution of Navier–Stokes equations on staggered overset-curvilinear grids with immersed boundaries [O] . Hafez Asgharzadeh, Iman Borazjani -1

机译：带有近似解析雅可比行列的Newton-Krylov方法可解决带浸入边界的交错过弯曲线网格上Navier-Stokes方程的隐式解
7. ABOUT SOLUTION OF MULTIPOINT BOUNDARY PROBLEMS OF THREE-DIMENSIONAL STRUCTURAL ANALYSIS WITH THE USE OF COMBINED APPLICATION OF FINITE ELEMENT METHOD AND DISCRETE-CONTINUAL FINITE ELEMENT METHOD. PART 1: FORMULATION AND BASIC PRINCIPLES OF APPROXIMATION [O] . Pavel A. Akimov, Oleg A. Negrozov 2018

机译：关于三维结构分析的多点边界问题利用综合应用的多点边界问题，有限元法和离散 - 连续有限元法的应用。第1部分：近似的配方和基本原则
8. Solution of Two-Dimensional Boundary Value Problems by Arbitrary Grid Finite Difference Methods. [R] . Jensen, P. S. 1974

机译：用任意网格有限差分法求解二维边值问题。

Applications of a comprehensive grid method to solution of three-dimensional boundary value problems

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