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Riemann Solver Based on a Global Existence Proof for the Riemann Problem

机译：基于Riemann问题全局存在证明的Riemann解算器

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摘要

Godunov's method and several other methods for computing solutions to the equations of gas dynamics use Riemann solvers to resolve discontinuities at the interface between cells. A new method is proposed here for solving the Riemann problem based on a global existence proof for the solution to the Riemann problem. The method is found to be very reliable and computationally efficient.

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作者
Dutt, P.;
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年度 1986
页码 p.1-13
总页数 13
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Cauchy problem; Gas dynamics; Riemann manifold; Computation; Computational fluid dynamics; Discontinuity; Fluid mechanics; Interfaces;

机译：柯西问题;气体动力学;黎曼流形;计算;计算流体动力学;不连续性;流体力学;界面;

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专利

1. An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver [J] . Journal of Computational Physics . 2018,第期

机译：基于HLLI riemann求解器的高效，二阶准确，通用普遍的riemann问题求解器
2. A two dimensional nodal Riemann solver based on one dimensional Riemann solver for a cell-centered Lagrangian scheme [J] . Liu Yan, Shen Weidong, Tian Baolin, Journal of Computational Physics . 2015,第Null期

机译：基于一维Riemann求解器的二维节点Riemann求解器，用于以单元为中心的拉格朗日方案
3. Optimal, globally constraint-preserving, DG(TD)(2) schemes for computational electrodynamics based on two-derivative Runge-Kutta timestepping and multidimensional generalized Riemann problem solvers - A von Neumann stability analysis [J] . Kappeli Roger, Balsara Dinshaw S., Chandrashekar Praveen, Journal of Computational Physics . 2020,第1期

机译：基于双衍生跑步-Kutta时间戳和多维广义的Riemann问题解压器的最佳，全局约束保留，DG（TD）（2）示例用于基于双衍生横向-Kutta的计算电动力学和多维广义riemann问题 - A von Neumann稳定性分析
4. Existence of short proofs for nondivisibility of sparse polynomials under the extended Riemann hypothesis [C] . Dima Yu. Grigoriev, Marek Karpinski, Andrew M. Odlyzko International symposium on Symbolic and algebraic computation . 1992

机译：扩展黎曼假设下稀疏多项式不可除的短证明的存在
5. A PROOF OF THE RIEMANN-ROCH THEOREM [D] . HARADA, MASANA 1987

机译：RIEMANN-ROCH定理的证明
6. Riemann solvers and Alfven waves in black hole magnetospheres [O] . Brian Punsly, Dinshaw Balsara, Jinho Kim, -1

机译：黑洞磁层中的黎曼求解器和Alfven波
7. An Efficient, Second Order Accurate, Universal Generalized Riemann Problem Solver Based on the HLLI Riemann Solver [O] . Balsara, Dinshaw S., Li, Jiequan, Montecinos, Gino I. 2018

机译：高效，二阶精确，通用广义Riemann 基于HLLI Riemann解算器的问题求解器
8. A Riemann solver based on a global existence proof for the Riemann problem [R] . Dutt, P. 1986

机译：基于黎曼问题的全局存在证明的黎曼解算器

Riemann Solver Based on a Global Existence Proof for the Riemann Problem

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