scholarly journals Preconditioned HLLC scheme for incompressible viscous flow simulation

2012 ◽  
Author(s):  
Z. Qian ◽  
C.-H. Lee
Keyword(s):  
Viscous Flow ◽  
Flow Simulation ◽  
Incompressible Viscous Flow

scholarly journals Incompressible viscous flow simulation using the double potential method

2018 ◽  
pp. 1-20
Author(s):  
Nikita Igorevich Tarasov ◽  
Yuri Nikolaevich Karamzin ◽  
Tatiana Alekseevna Kudryashova ◽  
Sergey Vladimirovich Polyakov
Keyword(s):  
Viscous Flow ◽  
Flow Simulation ◽  
Potential Method ◽  
Incompressible Viscous Flow

Incompressible Viscous Flow Simulation Using the Quasi-Hydrodynamic Equations’ System

2020 ◽  
Vol 12 (4) ◽  
pp. 553-560
Author(s):  
N. I. Tarasov ◽  
S. V. Polyakov ◽  
Yu. N. Karamzin ◽  
T. A. Kudryashova ◽  
V. O. Podryga ◽  
...  
Keyword(s):  
Viscous Flow ◽  
Flow Simulation ◽  
Hydrodynamic Equations ◽  
Incompressible Viscous Flow

Simulation of Unsteady Incompressible Viscous Flow Using Higher Order Implicit Runge-Kutta Methods: Staggered Grid

2007 ◽  
Author(s):  
Muhammad Ijaz ◽  
N. K. Anand
Keyword(s):  
Viscous Flow ◽  
Flow Simulation ◽  
Simple Algorithm ◽  
Time Discretization ◽  
Steady State Solution ◽  
Second Order ◽  
Staggered Grid ◽  
Implicit Time ◽  
Incompressible Viscous Flow ◽  
Runge Kutta

A numerical method (SIMPLE DIRK Method) for transient incompressible viscous flow simulation is presented. The proposed method can be used to achieve arbitrarily high order of accuracy in time-discretization which is otherwise limited to second order in majority of the currently available simulation techniques. A special class of implicit Runge-Kutta methods is used for time discretization in conjunction with finite volume based SIMPLE algorithm. The algorithm was tested by solving for velocity field in a lid-driven square cavity. In the test case calculations, power law scheme of Patankar [2] was used for spatial discretization and time discretization was performed using a second-order implicit Runge-Kutta method. Time evolution of velocity profile along the cavity centerline was obtained from the proposed method and compared with that obtained from a commercial CFD software, FLUENT [3] using second-order implicit time discretization scheme. Steady state solution from the present method was compared with the benchmark numerical solution of Ghia et al. [4]. Good agreement of the second-order solutions of the proposed method with the second-order solutions of FLUENT [4] and Ghia et al. [4] concludes the feasibility of the proposed method.

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