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High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
Authors:  Qian, Shouguo;  Liu, Yu;  Li, Gang;  Yuan, Li
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Euler equations  Isentropic equilibrium state  Discontinuous Galerkin methods  Well-balanced property  Gravitational fields  
Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2018, 卷号: 86, 期号: 7, 页码: 491-508
Authors:  Li, Gang;  Delestre, Olivier;  Yuan, Li
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blood flow model  discontinuous Galerkin method  finite volume WENO scheme  hydrostatic reconstruction  source term  well-balanced property  
Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs 期刊论文
COMPUTERS & FLUIDS, 2016, 卷号: 134, 页码: 90-110
Authors:  Zhai, Jian;  Liu, Wei;  Yuan, Li
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Two-phase  Shallow granular flow  NOC  Well-balanced property  Multi-GPU  
A WELL-BALANCED SYMPLECTICITY-PRESERVING GAS-KINETIC SCHEME FOR HYDRODYNAMIC EQUATIONS UNDER GRAVITATIONAL FIELD 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2356-2381
Authors:  Luo, Jun;  Xu, Kun;  Liu, Na
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gas-kinetic scheme  hydrodynamic equations  gravitational potential  symplecticity preserving  well-balanced scheme  
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 219, 期号: 1, 页码: 322-390
Authors:  Wen, Xin
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shallow water equations  nozzle flow equations  discontinuous topography  well-balanced scheme  surface gradient method  shock capturing