Higher-order Multi-dimensional Limiting Process for DG and CPR on Tetrahedral Meshes

机译：四面体网格上DG和CPR的高阶多维限制过程

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摘要

The present paper deals with the robust and accurate multi-dimensional limiting processrnfor higher-order discontinuous Galerkin (DG) and correction procedure via reconstructionrn(CPR) methods on triangular and tetrahedral meshes. MLP, which has been originally developedrnin finite volume method (FVM), provides an accurate, robust and efficient oscillation-control mechanismrnin multiple dimensions for linear approximation. This limiting philosophy can be hierarchicallyrnextended into higher-order Pn approximation. The resulting algorithm have been developedrnfor both DG and CPR methods mostly on two-dimensional triangular grids. This method can bernreadily extended three-dimensional space and efficiently implemented with both CPU and GPUrnparallelization. In the final paper, we are going to carry out extensive numerical experiments onrn3-D tetrahedral meshes, explore and compare numerical features of the proposed methods for bothrnDG and CPR.

机译：本文针对三角网格和四面体网格，针对高阶不连续伽勒金（DG）提出了鲁棒且准确的多维极限过程，并通过重构（CPR）方法修正了校正过程。 MLP是最初在有限体积法（FVM）中开发的，它提供了用于多维线性逼近的多维精确，鲁棒和有效的振荡控制机制。可以将这种限制原理分层扩展为高阶Pn逼近。所得算法主要针对二维三角网格上的DG和CPR方法开发。该方法可以很好地扩展三维空间，并且可以通过CPU和GPU并行化高效地实现。在最后的论文中，我们将对rn3-D四面体网格进行广泛的数值实验，探索并比较所提出的rnDG和CPR方法的数值特征。

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来源
《Eighth International Conference on Computational Fluid Dynamics》|2014年|1-2|共2页
会议地点 Chengdu(CN)
作者
Jin Seok Park; Tae Kyu Chang; Chongam Kim;
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作者单位

Department of Aerospace Engineering, Seoul National University, Seoul, 151-744, Korea;

Department of Aerospace Engineering, Seoul National University, Seoul, 151-744, Korea;

Department of Aerospace Engineering, Seoul National University, Seoul, 151-744, Korea chongam@snu.ac.kr;

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正文语种 eng
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关键词
Multi-dimensional Limiting Process; Discontinuous Galerkin Method; Correction Procedure via Reconstruction; Shock-Capturing;

机译：多维限制过程；间断Galerkin方法;通过重建的纠正程序；震撼捕捉;

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1. 基于局部弯曲四面体网格的可压流自适应高阶间断伽辽金方法 [J] . 安慰, 黄增辉, 吕宏强南京航空航天大学学报（英文版） . 2020,第005期
2. Higher-order multi-dimensional limiting process for DG and FR/CPR methods on tetrahedral meshes [J] . Park Jin Seok, You Hojun, Kim Chongam Computers & Fluids . 2017,第期

机译：Tetrahedral网格上的DG和FR / CPR方法的高阶多维限制过程
3. The tetrahedral finite cell method: Higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes [J] . Varduhn Vasco, Hsu Ming-Chen, Ruess Martin, International Journal for Numerical Methods in Engineering . 2016,第12期

机译：四面体有限元方法：自适应无边界拟合网格的高阶沉浸几何分析
4. The analogue of grad-div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes [J] . Akbas Mine, Linke Alexander, Rebholz Leo G., Computer Methods in Applied Mechanics and Engineering . 2018,第NOVa1期

机译：不可压缩流的DG方法中的div-div稳定化的类似方法：限制行为和张量积网格的扩展
5. Higher-order Multi-dimensional Limiting Process for DG and CPR on Tetrahedral Meshes [C] . Jin Seok Park, Tae Kyu Chang, Chongam Kim Eighth International Conference on Computational Fluid Dynamics . 2014

机译：四面体网格上DG和CPR的高阶多维限制过程
6. Improving tetrahedral meshes. [D] . Klingner, Bryan Matthew. 2008

机译：改善四面体网格。
7. Method for generating high-quality tetrahedral meshes of geological models by utilizing CGAL [O] . Bowen Wang, Gang Mei, Nengxiong Xu 2020

机译：利用Cgal产生地质模型的高质量四面体网格的方法
8. The tetrahedral finite cell method: higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes [O] . Varduhn, Vasco, Hsu, Ming-Chen, Ruess, Martin, 2016

机译：四面体有限元法：自适应非边界拟合网格的高阶沉浸几何分析

Higher-order Multi-dimensional Limiting Process for DG and CPR on Tetrahedral Meshes

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