scholarly journals A Review of Riemann Solvers for Hypersonic Flows

Author(s):  
Feng Qu ◽  
Di Sun ◽  
Qingsong Liu ◽  
Junqiang Bai
AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 74-81 ◽  
Author(s):  
S. O. Macheret ◽  
M. N. Shneider ◽  
R. B. Miles

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 1061-1064
Author(s):  
S. Larigaldie ◽  
D. Bize ◽  
A. K. Mohamed ◽  
M. Ory ◽  
J. Soutade ◽  
...  

2009 ◽  
Vol 247 (2) ◽  
pp. 447-464 ◽  
Author(s):  
Mauro Garavello ◽  
Benedetto Piccoli

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Joseph J. S. Shang ◽  
Hong Yan

Abstract Nearly all illuminating classic hypersonic flow theories address aerodynamic phenomena as a perfect gas in the high-speed range and at the upper limit of continuum gas domain. The hypersonic flow is quantitatively defined by the Mach number independent principle, which is derived from the asymptotes of the Rankine-Hugoniot relationship. However, most hypersonic flows encounter strong shock-wave compressions resulting in a high enthalpy gas environment that always associates with nonequilibrium thermodynamic and quantum chemical-physics phenomena. Under this circumstance, the theoretic linkage between the microscopic particle dynamics and macroscopic thermodynamics properties of gas is lost. When the air mixture is ionized to become an electrically conducting medium, the governing physics now ventures into the regimes of quantum physics and electromagnetics. Therefore, the hypersonic flows are no longer a pure aerodynamics subject but a multidisciplinary science. In order to better understand the realistic hypersonic flows, all pertaining disciplines such as the nonequilibrium chemical kinetics, quantum physics, radiative heat transfer, and electromagnetics need to bring forth.


2021 ◽  
Vol 88 (3) ◽  
Author(s):  
Alberto Prieto-Arranz ◽  
Luis Ramírez ◽  
Iván Couceiro ◽  
Ignasi Colominas ◽  
Xesús Nogueira

AbstractIn this work, a new discretization of the source term of the shallow water equations with non-flat bottom geometry is proposed to obtain a well-balanced scheme. A Smoothed Particle Hydrodynamics Arbitrary Lagrangian-Eulerian formulation based on Riemann solvers is presented to solve the SWE. Moving-Least Squares approximations are used to compute high-order reconstructions of the numerical fluxes and, stability is achieved using the a posteriori MOOD paradigm. Several benchmark 1D and 2D numerical problems are considered to test and validate the properties and behavior of the presented schemes.


2014 ◽  
Vol 270 ◽  
pp. 432-458 ◽  
Author(s):  
Kunal Puri ◽  
Prabhu Ramachandran

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