Abstract
The incompressible Navier-Stokes equations are solved by an implicit pressure correction method on Cartesian meshes with local refinement. A simple and stable ghost cell method is developed to treat the boundary condition for the immersed bodies in the flow field. Multigrid methods are developed for both velocity and pressure correction to enhance the stability and convergence of the solution process. It is shown that the spatial accuracy of the method is second order in L2 norm for both velocity and pressure. Various steady and unsteady flows over a 2D circular cylinder and a 3D sphere are computed to validate the present method. The capability of the present method to treat a moving body is also demonstrated.
| Original language | English |
|---|---|
| Pages (from-to) | 1378-1401 |
| Number of pages | 24 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 60 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2009 Aug 30 |
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All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Computer Science Applications
- Applied Mathematics
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Computation of incompressible flows with immersed bodies by a simple ghost cell method. / Pan, Dartzi; Shen, Tzung Tza.
In: International Journal for Numerical Methods in Fluids, Vol. 60, No. 12, 30.08.2009, p. 1378-1401.Research output: Contribution to journal › Article
TY - JOUR
T1 - Computation of incompressible flows with immersed bodies by a simple ghost cell method
AU - Pan, Dartzi
AU - Shen, Tzung Tza
PY - 2009/8/30
Y1 - 2009/8/30
N2 - The incompressible Navier-Stokes equations are solved by an implicit pressure correction method on Cartesian meshes with local refinement. A simple and stable ghost cell method is developed to treat the boundary condition for the immersed bodies in the flow field. Multigrid methods are developed for both velocity and pressure correction to enhance the stability and convergence of the solution process. It is shown that the spatial accuracy of the method is second order in L2 norm for both velocity and pressure. Various steady and unsteady flows over a 2D circular cylinder and a 3D sphere are computed to validate the present method. The capability of the present method to treat a moving body is also demonstrated.
AB - The incompressible Navier-Stokes equations are solved by an implicit pressure correction method on Cartesian meshes with local refinement. A simple and stable ghost cell method is developed to treat the boundary condition for the immersed bodies in the flow field. Multigrid methods are developed for both velocity and pressure correction to enhance the stability and convergence of the solution process. It is shown that the spatial accuracy of the method is second order in L2 norm for both velocity and pressure. Various steady and unsteady flows over a 2D circular cylinder and a 3D sphere are computed to validate the present method. The capability of the present method to treat a moving body is also demonstrated.
UR - http://www.scopus.com/inward/record.url?scp=70349618610&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349618610&partnerID=8YFLogxK
U2 - 10.1002/fld.1942
DO - 10.1002/fld.1942
M3 - Article
AN - SCOPUS:70349618610
VL - 60
SP - 1378
EP - 1401
JO - International Journal for Numerical Methods in Fluids
JF - International Journal for Numerical Methods in Fluids
SN - 0271-2091
IS - 12
ER -