A Strongly Coupled Time-Marching Method for Solving the Navier–Stokes andk-ω Turbulence Model Equations with Multigrid

1996 ◽  
Vol 128 (2) ◽  
pp. 289-300 ◽  
Author(s):  
Feng Liu ◽  
Xiaoqing Zheng
Keyword(s):  
Turbulence Model ◽  
Navier Stokes ◽  
Strongly Coupled ◽  
Time Marching ◽  
Model Equations ◽  
Marching Method

Multigrid Computation of Incompressible Flows Using Two-Equation Turbulence Models: Part I—Numerical Method

1997 ◽  
Vol 119 (4) ◽  
pp. 893-899 ◽  
Author(s):  
X. Zheng ◽  
C. Liao ◽  
C. Liu ◽  
C. H. Sung ◽  
T. T. Huang
Keyword(s):  
Turbulent Flows ◽  
Turbulence Model ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Turbulence Models ◽  
Numerical Approach ◽  
Navier Stokes ◽  
Strongly Coupled ◽  
Acceleration Techniques ◽  
Model Equations

A highly efficient numerical approach based on multigrid and preconditioning methods is developed for modeling 3-D incompressible turbulent flows. The incompressible Reynolds-averaged Navier-Stokes equations are written in pseudo-compressibility from, then a preconditioning method is used to reduce the wave speed disparity. The k-ω and k-ε turbulence models are used to estimate the effects of turbulence. The model equations are solved together with the N-S equations in a strongly-coupled way, and all the acceleration techniques originally developed for N-S equations are also used for the turbulence model equations. A point-implicit technique is developed to improve the efficiency of the solution of the turbulence model equations.

scholarly journals A Time Marching Method for Calculating S2 Stream Surface Viscous Flow in a Single Rotor Compressor

1987 ◽  
Author(s):  
Chen Nai-Xing ◽  
Dai Li-Hong
Keyword(s):  
Viscous Flow ◽  
Stokes Equations ◽  
Engineering Thermophysics ◽  
Navier Stokes ◽  
Meridional Plane ◽  
Governing Equations ◽  
Navier Stokes Equations ◽  
Stream Surface ◽  
Time Marching ◽  
Marching Method

In this paper, a time marching method using a hopscotch algorithm and a stream-surface-fitted co-ordinate system for calculating steady viscous flow on the S2 stream surface is presented. It is convenient to express the Navier-Stokes equations by the non-orthogonal curvilinear co-ordinate system directly on the S2 stream surface because the blade force term which exists in the governing equations written on the meridional plane, disappears. Numerical results for the CAS single rotor research compressor of Institute of Engineering Thermophysics are compared with invisid calculation and experiment. It is shown that the computational results are agreed with experiment well.

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