scholarly journals Prediction of the Free Jet Noise Using Quasi-gas Dynamic Equations and Acoustic Analogy

2020 ◽  
pp. 217-227
Author(s):  
Andrey Epikhin ◽  
Matvey Kraposhin
Keyword(s):  
Jet Noise ◽  
Dynamic Equations ◽  
Acoustic Analogy ◽  
Free Jet ◽  
Gas Dynamic ◽  
Gas Dynamic Equations

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

GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES

2009 ◽  
Vol 23 (03) ◽  
pp. 237-240 ◽  
Author(s):  
KUN XU ◽  
ZHAOLI GUO
Keyword(s):  
Flow Regime ◽  
Stokes Equations ◽  
Dimensional Space ◽  
Natural Extension ◽  
Dynamic Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Gas Dynamic ◽  
Continuum Flow ◽  
Gas Dynamic Equations

Based on a multiple stage BGK-type collision model and the Chapman–Enskog expansion, the corresponding macroscopic gas dynamics equations in three-dimensional space will be derived. The new gas dynamic equations have the same structure as the Navier–Stokes equations, but the stress strain relationship in the Navier–Stokes equations is replaced by an algebraic equation with temperature differences. In the continuum flow regime, the new gas dynamic equations automatically recover the standard Navier–Stokes equations. The current gas dynamic equations are natural extension of the Navier–Stokes equations to the near continuum flow regime and can be used for near continuum flow study.

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