Lagrangian hydrodynamics;
artificial viscosity;
Riemann solver;
second order;
ARTIFICIAL VISCOSITY;
D O I:
10.1016/j.procs.2010.04.216
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
We develop a general framework to derive and analyze staggered numerical schemes devoted to solve hydrodynamics equations in 2D. In this framework a cell-centered multi-dimensional approximate Riemann solver is used to build a form of artificial viscosity that leads to a conservative, compatible and thermodynamically consistent scheme. A second order extension in space and time for this scheme is proposed in this work and we prove on numerical examples the validity of this approach.
机构:
Beijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R ChinaBeijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R China
Niu, Panyu
Qing, Fang
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机构:
Hunan First Normal Univ, Sch Math & Stat, Changsha, Peoples R ChinaBeijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R China
Qing, Fang
Wang, Cheng
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机构:
Beijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R ChinaBeijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R China
Wang, Cheng
Jia, Zupeng
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机构:
Inst Appl Phys & Computat Math, Beijing, Peoples R China
Natl Key Lab Computat Phys, Beijing, Peoples R ChinaBeijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R China
Jia, Zupeng
Wang, Wanli
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机构:
Beijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R ChinaBeijing Inst Technol, State Key Lab Explos Sci & Safety Protect, Beijing, Peoples R China