ON ENTROPY CONDITIONS OF HIGH RESOLUTION SCHEMES FOR SCALAR CONSERVATION LAWS

Ning Zhao; Hua-mu Wu

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ON ENTROPY CONDITIONS OF HIGH RESOLUTION SCHEMES FOR SCALAR CONSERVATION LAWS

机译：关于标量守恒律的高分辨率格式的熵条件

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In this paper a kind of quadratic cell entropy inequalities of second order resolution SOR-TVD) schemes is obtained for scalar hyperbolic conservation laws with strictly convex (concave) fluxes, which in turn implies the convergence of the schemes to the physically relevent solution of the problem. The theoretical results obtained in this paper improve the main results of Osher and Tadmor[6].

机译：本文针对具有严格凸（凹）通量的标量双曲守恒律，获得了一类二阶分辨率SOR-TVD方案的二次单元熵不等式。问题。本文获得的理论结果改进了Osher和Tadmor的主要结果[6]。

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《Journal of Computational Mathematics》 |2001年第4期|p.371-384|共14页
作者
Ning Zhao; Hua-mu Wu;
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正文语种 eng
中图分类计算数学;
关键词
Entropy condition; High resolution schemes; Conservation laws;

机译：熵条件;高分辨率方案;养护法;

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专利

1. HIGH RESOLUTION SCHEMES AND DISCRETE ENTROPY CONDITIONS FOR 2-D LINEAR CONSERVATION LAWS [J] . N. Zhao, H.Z. Tang Journal of Computational Mathematics . 1995,第3期

机译：二维线性守恒律的高分辨率方案和离散熵条件
2. An Improvement Design of the Entropy Dissipator of the Entropy Dissipating Scheme for Scalar Conservation Law [J] . Hongxia Li Journal of information and computational science . 2010,第8期

机译：标量守恒律熵消散方案的熵消散器的改进设计
3. ENTROPIC SUB-CELL SHOCK CAPTURING SCHEMES VIA JIN-XIN RELAXATION AND GLIMM FRONT SAMPLING FOR SCALAR CONSERVATION LAWS [J] . Coquel Frederic, Jin Shi, Liu Jian-Guo, Mathematics of computation . 2018,第311期

机译：熵子细胞冲击捕获方案通过金鑫弛豫和辉光正面采样进行标量保守法
4. Entropy-Monotone Scheme for Nonlinear Scalar Conservation Laws [C] . Li Xiao, Rongsan Chen, Miao Wang, International Conference on Applied Mathematics, Simulation and Modelling . 2016

机译：非线性标量保守法的熵 - 单调方案
5. Hyperbolicity and genuine nonlinearity conditions for certain p-systems of conservation laws, weak solutions and the entropy condition. [D] . Perez Reyes, Edgardo. 2010

机译：某些p系统守恒律的双曲性和真正的非线性条件，弱解和熵条件。
6. A Fourth Order Entropy Stable Scheme for Hyperbolic Conservation Laws [O] . Xiaohan Cheng 2019

机译：双曲保护法的第四阶熵稳定方案
7. Entropy-Monotone Scheme for Nonlinear Scalar Conservation Laws [O] . Li Xiao, Rongsan Chen, Miao Wang, 2016

机译：非线性标量保守法的熵 - 单调方案

ON ENTROPY CONDITIONS OF HIGH RESOLUTION SCHEMES FOR SCALAR CONSERVATION LAWS

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