approximate riemann solvers
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Multidimensional approximate Riemann solvers for hyperbolic nonconservative systems. Applications to shallow water systems

2021 ◽  
pp. 110547
Author(s):  
Kleiton A. Schneider ◽  
José M. Gallardo ◽  
Dinshaw S. Balsara ◽  
Boniface Nkonga ◽  
Carlos Parés
Keyword(s):  
Shallow Water ◽  
Water Systems ◽  
Nonconservative Systems ◽  
Riemann Solvers ◽  
Approximate Riemann Solvers

Multiphase Godunov-Type Smoothed Particle Hydrodynamics Method with Approximate Riemann Solvers

2018 ◽  
Vol 16 (02) ◽  
pp. 1846010 ◽  
Author(s):  
Zhi Wen Cai ◽  
Zhi Zong ◽  
Zhen Chen ◽  
Li Zhou ◽  
Chao Tian
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Single Phase ◽  
Equations Of State ◽  
Riemann Problems ◽  
Riemann Solvers ◽  
Particle Pairs ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Smoothed Particle Hydrodynamics Method ◽  
Approximate Riemann Solvers

In this paper, a multiphase Godunov-type smoothed-particle hydrodynamics (MGSPH) method is presented for simulating multi-fluid Riemann problems with complex equations of state (EOSs). In this method, single-phase Riemann solvers are used between particles with same phase, and interfacial approximate Riemann solvers are introduced on the interfacial particle pairs. Various combinations of single-phase and interface approximate Riemann solvers are comparatively studied to find out the best combination for MGSPH. Five examples are presented to verify MGSPH method.

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