Gas Dynamic Equations, Transport Coefficients, and Effects in Nonequilibrium Diatomic Gas Flows

2000 ◽  
Vol 14 (3) ◽  
pp. 404-411 ◽  
Author(s):  
Vladimir V. Riabov
Keyword(s):  
Transport Coefficients ◽  
Dynamic Equations ◽  
Gas Flows ◽  
Diatomic Gas ◽  
Gas Dynamic ◽  
Gas Dynamic Equations

scholarly journals Numerical simulation of compressible gas flows using regularized gas dynamic equations solver QGDFoam

2018 ◽  
Author(s):  
M. V. Kraposhin ◽  
T. G. Elizarova ◽  
M. A. Istomina ◽  
D. A. Ryazanov ◽  
K. A. Vatutin
Keyword(s):  
Numerical Simulation ◽  
Dynamic Equations ◽  
Gas Flows ◽  
Gas Dynamic ◽  
Gas Dynamic Equations ◽  
Compressible Gas

High Order Well-Balanced Weighted Compact Nonlinear Schemes for the Gas Dynamic Equations under Gravitational Fields

2017 ◽  
Vol 7 (4) ◽  
pp. 697-713
Author(s):  
Zhen Gao ◽  
Guanghui Hu
Keyword(s):  
Steady State Solution ◽  
High Order ◽  
Dynamic Equations ◽  
High Order Accuracy ◽  
Local Characteristic ◽  
Gravitational Fields ◽  
Strong Discontinuities ◽  
Gas Dynamic ◽  
Coarse Meshes ◽  
Gas Dynamic Equations

AbstractIn this study, we propose a high order well-balanced weighted compact nonlinear (WCN) scheme for the gas dynamic equations under gravitational fields. The proposed scheme is an extension of the high order WCN schemes developed in (S. Zhang, S. Jiang, C.-W Shu, J. Comput. Phys. 227 (2008) 7294-7321). For the purpose of maintaining the exact steady state solution, the well-balanced technique in (Y. Xing, C.-W Shu, J. Sci. Comput. 54 (2013) 645-662) is employed to split the source term into two terms. The proposed scheme can maintain the isothermal equilibrium solution exactly, genuine high order accuracy and resolve small perturbations of the hydrostatic balance state on the coarse meshes. Furthermore, in order to capture the strong discontinuities and large gradients, the fifth-order upwind weighted nonlinear interpolations together with the fourth/sixth order cell-centered compact schemes with local characteristic projections are used to construct different WCN schemes. Several representative one- and two-dimensional examples are simulated to demonstrate the good performance of the proposed schemes.

On Exact Analytical Solutions of Gas Dynamic Equations

2020 ◽  
Vol 55 (3) ◽  
pp. 423-432
Author(s):  
A. N. Golubyatnikov ◽  
D. V. Ukrainskii
Keyword(s):  
Analytical Solutions ◽  
Dynamic Equations ◽  
Exact Analytical Solutions ◽  
Gas Dynamic ◽  
Gas Dynamic Equations
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