Comparison of two methods for solving three-dimensional unsteady compressible viscous flows

AIAA Journal ◽  
1994 ◽  
Vol 32 (10) ◽  
pp. 1978-1984 ◽  
Author(s):  
Ray Hixon ◽  
Fu-Lin Tsung ◽  
L. N. Sankar
Keyword(s):  
Three Dimensional ◽  
Viscous Flows ◽  
Compressible Viscous Flows

A generalized sphere function-based gas kinetic scheme for simulation of compressible viscous flows

2020 ◽  
Vol 34 (14n16) ◽  
pp. 2040079
Author(s):  
Tian-Peng Yang ◽  
Jiang-Feng Wang
Keyword(s):  
Distribution Function ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Kinetic Scheme ◽  
Viscous Flows ◽  
Dimensional Case ◽  
Dimensional Sphere ◽  
Two Dimensional ◽  
Present Scheme ◽  
Compressible Viscous Flows

In this paper, a generalized sphere function-based gas kinetic scheme (GKS) is developed for simulation of two-dimensional compressible viscous flows. This work aims to improve the existing simplified GKS, in which a simple two-dimensional/three-dimensional distribution function is used as the equilibrium state. The present scheme applies the finite volume method to discretize Navier–Stokes equations and the numerical flux at cell interface is evaluated by the local reconstruction of solution for the continuous Boltzmann equation with [Formula: see text]-dimensional sphere function. This local solution contains both the equilibrium part and nonequilibrium part, and the contribution of the nonequilibrium part is controlled by a switch function. It is found that the present scheme has the same expression as the circular function-based GKS for the two-dimensional case and the sphere function-based GKS for the three-dimensional case. Therefore, these two GKSs can be unified, and the developed method provides another way for the simple distribution function.

scholarly journals Numerical simulation of complex 3D compressible viscous flows through rotating blade passage

2003 ◽  
pp. 55-82
Author(s):  
M. Despotovic ◽  
Milun Babic ◽  
D. Milovanovic ◽  
Vanja Sustersic
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Convergence Acceleration ◽  
Design Tool ◽  
Navier Stokes ◽  
Internal Flows ◽  
Navier Stokes Equations ◽  
Rotating Blade ◽  
Compressible Viscous Flows

This paper describes a three-dimensional compressible Navier-Stokes code, which has been developed for analysis of turbocompressor blade rows and other internal flows. Despite numerous numerical techniques and statement that Computational Fluid Dynamics has reached state of the art, issues related to successful simulations represent valuable database of how particular tech?nique behave for a specifie problem. This paper deals with rapid numerical method accurate enough to be used as a design tool. The mathematical model is based on System of Favre averaged Navier-Stokes equations that are written in relative frame of reference, which rotates with constant angular velocity around axis of rotation. The governing equations are solved using finite vol?ume method applied on structured grids. The numerical procedure is based on the explicit multistage Runge-Kutta scheme that is coupled with modem numerical procedures for convergence acceleration. To demonstrate the accuracy of the described numer?ical method developed software is applied to numerical analysis of flow through impeller of axial turbocompressor, and obtained results are compared with available experimental data.

scholarly journals Asymptotic analysis of a two--dimensional coupled problem for compressible viscous flows

2003 ◽  
Vol 10 (1-2) ◽  
pp. 137-163
Author(s):  
Cristian A. Coclici ◽  
Jörg Heiermann ◽  
Gh. Moroşanu ◽  
W. Wendland
Keyword(s):  
Asymptotic Analysis ◽  
Viscous Flows ◽  
Two Dimensional ◽  
Coupled Problem ◽  
Compressible Viscous Flows
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