用非结构三角形网格上间断Galerkin方法的隐式格式求解二维气体动力学问题

IF 0.4 Q4 MATHEMATICS, APPLIED

Numerical Analysis and Applications Pub Date : 2022-01-01 DOI:10.15372/sjnm20220102

R. V. Zhalnin, V. F. Masyagin, V. Tishkin

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引用次数: 0

摘要

摘要构造了求解非结构三角形网格上气体动力学方程的间断Galerkin方法的隐式格式。隐式方案基于所谓“delta”形式的网格方程组的表示。为了求解每次产生的SLAE，使用NVIDIA AmgX库中的解算器。为了验证数值算法，对NACA0012对称翼型在不同攻角下的流动和RAE2822翼型上的流动进行了计算。给出了计算结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solving Two-Dimensional Problems of Gas Dynamics Using an Implicit Scheme for the Discontinuous Galerkin Method on Unstructured Triangular Grids

Abstract An implicit scheme of the discontinuous Galerkin method for solving gas dynamics equations on unstructured triangular grids is constructed. The implicit scheme is based on a representation of a system of grid equations in the so-called “delta” form. To solve the resulting SLAE for each time, solvers from the NVIDIA AmgX library are used. To verify the numerical algorithm, calculations are performed for the flow over an NACA0012 symmetric airfoil at various angles of attack and the flow over an RAE2822 airfoil. The results of calculations are presented.

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来源期刊

Numerical Analysis and Applications MATHEMATICS, APPLIED-

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Numerical Analysis and Applications is the translation of Russian periodical Sibirskii Zhurnal Vychislitel’noi Matematiki (Siberian Journal of Numerical Mathematics) published by the Siberian Branch of the Russian Academy of Sciences Publishing House since 1998. The aim of this journal is to demonstrate, in concentrated form, to the Russian and International Mathematical Community the latest and most important investigations of Siberian numerical mathematicians in various scientific and engineering fields. The journal deals with the following topics: Theory and practice of computational methods, mathematical physics, and other applied fields; Mathematical models of elasticity theory, hydrodynamics, gas dynamics, and geophysics; Parallelizing of algorithms; Models and methods of bioinformatics.