Numerical solution of 2D and 3D viscous incompressible steady and unsteady flows using artificial compressibility method

2008 ◽  
Vol 56 (8) ◽  
pp. 1399-1407 ◽  
Author(s):  
P. Louda ◽  
K. Kozel ◽  
J. Příhoda
Keyword(s):  
Numerical Solution ◽  
Unsteady Flows ◽  
Artificial Compressibility ◽  
Artificial Compressibility Method ◽  
2D And 3D ◽  
Steady And Unsteady Flows

scholarly journals Implementation of the fractional-step, artificial compressibility with pressure projection (FSAC-PP) method into openfoam for unsteady flows

2021 ◽  
Vol 11 (5) ◽  
pp. 85-91
Author(s):  
Jesús Miguel Sánchez Gil ◽  
Tom-Robin Teschner ◽  
László Könözsy
Keyword(s):  
Time Derivative ◽  
Unsteady Flows ◽  
Time Discretization ◽  
Projection Methods ◽  
Fractional Step ◽  
Artificial Compressibility ◽  
Artificial Compressibility Method ◽  
Start Up ◽  
2D Flow ◽  
Pressure Projection

Commercial and open-source CFD solvers rely mostly on incompressible approximate projection methods to overcome the pressure-velocity decoupling, such as the SIMPLE (Patankar, 1980) or PISO (Issa, 1986) algorithm. Incompressible methods based on the Artificial Compressibility method (Chorin, 1967) lack a mechanism to evolve in time and need to be supplemented by a real time derivative through the dual time scheme. The current study investigates the implementation of the explicit dual time discretization of the Artificial Compressibility method into OpenFOAM and extends on that by applying the dual time scheme to the incompressible FSAC-PP method (Könözsy, 2012). Applied to the Couette 2D flow at Re=100 and Re=1000, results show that for both methods accurate time evolutions of the velocity profiles are presented, where the FSAC-PP methods seemingly produces smoother profiles compared to the AC method, especially during the start-up of the simulation.

On nonlocal fractal laminar steady and unsteady flows

2021 ◽  
Vol 232 (4) ◽  
pp. 1413-1424
Author(s):  
Rami Ahmad El-Nabulsi
Keyword(s):  
Unsteady Flows ◽  
Steady And Unsteady Flows

scholarly journals On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method

2017 ◽  
Vol 20 (01) ◽  
pp. 1650064 ◽  
Author(s):  
Luigi C. Berselli ◽  
Stefano Spirito
Keyword(s):  
Bounded Domain ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Bounded Domains ◽  
Suitable Weak Solutions ◽  
Navier Stokes Equations ◽  
Artificial Compressibility ◽  
Artificial Compressibility Method

We prove that suitable weak solutions of 3D Navier–Stokes equations in bounded domains can be constructed by a particular type of artificial compressibility approximation.

Numerical solution of 2D and 3D elliptic-type interface models with regular interfaces

2018 ◽  
Vol 35 (3) ◽  
pp. 1081-1102 ◽  
Author(s):  
Nadeem Haider ◽  
Imran Aziz ◽  
Siraj-ul-Islam
Keyword(s):  
Numerical Solution ◽  
Elliptic Type ◽  
Interface Models ◽  
2D And 3D
Sign in / Sign up

Export Citation Format

Share Document