Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes

Bakhvalov P. A.; Kozubskaya T. K.

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Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes

机译：基于边缘的1个精确方案的构造，用于求解杂交非结构化网格上的欧拉方程

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In this paper, 1-exact vertex-centered finite-volume schemes with an edge-based approximation of fluxes are constructed for numerically solving hyperbolic problems on hybrid unstructured meshes. The 1-exactness property is ensured by introducing a new type of control volumes, which are called semitransparent cells. The features of a parallel algorithm implementing the computations using semitransparent cells on modern supercomputers are described. The results of solving linear and nonlinear test problems are given.

机译：在本文中，构建了具有基于边缘的通量近似的1精确的顶点的有限体积方案，用于在混合非结构化网格上进行数值求解双曲线问题。通过引入一种新型的对照体积来确保1-精确性，称为半透明细胞。描述了在现代超级计算机上使用半透明细胞实现计算的并行算法的特征。给出了求解线性和非线性测试问题的结果。

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《Computational mathematics and mathematical physics》 |2017年第4期|共18页
作者
Bakhvalov P. A.; Kozubskaya T. K.;
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Russian Acad Sci Keldysh Inst Appl Math Fed Res Ctr Moscow 125047 Russia;

Russian Acad Sci Keldysh Inst Appl Math Fed Res Ctr Moscow 125047 Russia;

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正文语种 eng
中图分类计算数学;
关键词
control volumes; vertex-centered schemes; edge-based approximation of fluxes; hybrid unstructured meshes;

机译：控制卷;以顶点为中心;基于边缘的通量近似;混合非结构化网格;

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1. Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes [J] . Bakhvalov P. A., Kozubskaya T. K. Computational mathematics and mathematical physics . 2017,第4期

机译：基于边缘的1个精确方案的构造，用于求解杂交非结构化网格上的欧拉方程
2. A SELF－ADAPTIVE FINITE ELEMENT METHOD FOR SOLVING 2－D EULER EQUATIONS ON THE UNSTRUCTURED MESHES [J] . 中国航空学报：英文版 . 1995,第001期

机译：一种用于求解非结构化网格上的2-D欧拉方程的自适应有限元方法
3. A Very High-Order Accurate Staggered Finite Volume Scheme for the Stationary Incompressible Navier-Stokes and Euler Equations on Unstructured Meshes [J] . Costa Ricardo, Clain Stephane, Machado Gaspar J., Journal of Scientific Computing . 2017,第3期

机译：非结构网格上静态不可压缩Navier-Stokes和Euler方程的非常高阶精确交错有限体积方案
4. Multidimensional Residual Distribution Schemes for the Pseudo-compressible Euler and Navier-Stokes Equations on Unstructured Meshes [C] . International conference on numerical methods in fluid dynamics . 1998

机译：非结构化网格上的伪压缩欧拉和Navier-Stokes方程的多维剩余分配方案
5. A higher-order conservation element solution element method for solving hyperbolic differential equations on unstructured meshes. [D] . Bilyeu, David. 2014

机译：非结构网格上双曲型微分方程的高阶守恒元素解单元法。
6. Fast methods for the Eikonal and related Hamilton– Jacobi equations on unstructured meshes [O] . J. A. Sethian, A. Vladimirsky 2016

机译：非结构化网格上的Eikonal方程和相关的Hamilton– Jacobi方程的快速方法
7. A Fast Upwind Solver for the Euler Equations on Three-Dimensional Unstructured Meshes [O] . Pirzadeh Shahyar, Frink Neal T. 2004

机译：三维非结构化网格上Euler方程的快速迎风求解器
8. Fast Upwind Solver for the Euler Equations on Three-Dimensional Unstructured Meshes [R] . Frink, N. T. , Parikh, P. 2004

机译：三维非结构网格上Euler方程的快速迎风求解器

Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes

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