Direct Discontinuous Galerkin methods for the reacting multi-component flow equations

IF 3 3区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Fluids Pub Date : 2025-08-13 DOI:10.1016/j.compfluid.2025.106774

G. Absillis , H. Luo , P. Greene , R. Nourgaliev , M. Goodson

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引用次数: 0

Abstract

The Direct Discontinuous Galerkin (DDG (Liu and Yan, 2008)) method and a counterpart with Interface Correction (DDGIC (Danis and Yan, 2022)) are extended to compute diffusion terms that arise when solving the compressible multi-component flow equations in thermochemical nonequilibrium. Thermodynamic properties, transport properties, chemical reaction rates, and energy exchange terms are computed using Mutation++ (Scoggins et al., 2020). The DG method is applied on unstructured grids, where the accuracy and convergence rates can be sensitive to the numerical method chosen for parabolic terms. A method for determining the homogeneity tensor of the flow equations required for DDGIC is shown. The convergence properties of the DDG methods are studied and compared to the Interior Penalty (IP) method. A number of numerical experiments are conducted to assess the accuracy and performance of the method. The numerical results and convergence studies indicate that DDG and DDGIC provide accurate solutions and perform well for general flows in thermochemical nonequilibrium.

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反应多组分流动方程的直接不连续伽辽金方法

将直接不连续伽辽金（DDG (Liu and Yan, 2008)）方法和对应的界面校正（DDGIC (Danis and Yan, 2022)）方法扩展到计算热化学非平衡中可压缩多组分流动方程中出现的扩散项。热力学性质、输运性质、化学反应速率和能量交换项使用mutating++计算（Scoggins et al., 2020）。DG方法应用于非结构化网格，其精度和收敛速度可能对抛物线项所选择的数值方法敏感。给出了一种确定DDGIC所需流动方程的均匀张量的方法。研究了DDG方法的收敛性，并与内罚（IP）方法进行了比较。通过数值实验验证了该方法的精度和性能。数值结果和收敛性研究表明，DDG和DDGIC对一般热化学非平衡流动提供了准确的解，并具有良好的性能。

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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来源期刊

Computers & Fluids 物理-计算机：跨学科应用

CiteScore

5.30

自引率

7.10%

发文量

242

审稿时长

10.8 months

期刊介绍： Computers & Fluids is multidisciplinary. The term ''fluid'' is interpreted in the broadest sense. Hydro- and aerodynamics, high-speed and physical gas dynamics, turbulence and flow stability, multiphase flow, rheology, tribology and fluid-structure interaction are all of interest, provided that computer technique plays a significant role in the associated studies or design methodology.