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A virtual boundary method with improved computational efficiency using a multi-grid method

Revstedt, Johan LU (2004) In International Journal for Numerical Methods in Fluids 45(7). p.775-795
Abstract
The flow around spherical, solid objects is considered. The boundary conditions on the solid boundaries have been applied by replacing the boundary with a surface force distribution on the surface, such that the required boundary conditions are satisfied. The velocity on the boundary is determined by extrapolation from the flow field. The source terms are determined iteratively, as part of the solution. They are then averaged and are smoothed out to nearby computational grid points. A multi-grid scheme has been used to enhance the computational efficiency of the solution of the force equations. The method has been evaluated for flow around both moving and stationary spherical objects at very low and intermediate Reynolds numbers. The... (More)
The flow around spherical, solid objects is considered. The boundary conditions on the solid boundaries have been applied by replacing the boundary with a surface force distribution on the surface, such that the required boundary conditions are satisfied. The velocity on the boundary is determined by extrapolation from the flow field. The source terms are determined iteratively, as part of the solution. They are then averaged and are smoothed out to nearby computational grid points. A multi-grid scheme has been used to enhance the computational efficiency of the solution of the force equations. The method has been evaluated for flow around both moving and stationary spherical objects at very low and intermediate Reynolds numbers. The results shows a second order accuracy of the method both at creeping flow and at Re = 100. The multi-grid scheme is shown to enhance the convergence rate up to a factor 10 as compared to single grid approach. Copyright (C) 2004 John Wiley Sons, Ltd. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
boundaries, sphere, multi-grid, virtual boundary method, Cartesian grid, moving
in
International Journal for Numerical Methods in Fluids
volume
45
issue
7
pages
775 - 795
publisher
John Wiley & Sons
external identifiers
  • wos:000222204000004
  • scopus:3042778423
ISSN
1097-0363
DOI
10.1002/fld.710
language
English
LU publication?
yes
id
4a1aa0c8-678c-4b13-b35c-5178271f71b4 (old id 274538)
date added to LUP
2007-10-30 15:53:13
date last changed
2017-01-01 04:38:55
@article{4a1aa0c8-678c-4b13-b35c-5178271f71b4,
  abstract     = {The flow around spherical, solid objects is considered. The boundary conditions on the solid boundaries have been applied by replacing the boundary with a surface force distribution on the surface, such that the required boundary conditions are satisfied. The velocity on the boundary is determined by extrapolation from the flow field. The source terms are determined iteratively, as part of the solution. They are then averaged and are smoothed out to nearby computational grid points. A multi-grid scheme has been used to enhance the computational efficiency of the solution of the force equations. The method has been evaluated for flow around both moving and stationary spherical objects at very low and intermediate Reynolds numbers. The results shows a second order accuracy of the method both at creeping flow and at Re = 100. The multi-grid scheme is shown to enhance the convergence rate up to a factor 10 as compared to single grid approach. Copyright (C) 2004 John Wiley Sons, Ltd.},
  author       = {Revstedt, Johan},
  issn         = {1097-0363},
  keyword      = {boundaries,sphere,multi-grid,virtual boundary method,Cartesian grid,moving},
  language     = {eng},
  number       = {7},
  pages        = {775--795},
  publisher    = {John Wiley & Sons},
  series       = {International Journal for Numerical Methods in Fluids},
  title        = {A virtual boundary method with improved computational efficiency using a multi-grid method},
  url          = {http://dx.doi.org/10.1002/fld.710},
  volume       = {45},
  year         = {2004},
}