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Handling complex boundaries on a Cartesian grid using surface singularities

Revstedt, Johan LU and Fuchs, Laszlo LU (2001) In International Journal for Numerical Methods in Fluids 35. p.125-150
Abstract
this paper considers flow around arbitrarily shaped objects. The boundary conditions on the solidboundaries 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 byinterpolation or by local (Gaussian space) average. The source terms are determined iteratively as part ofthe solution. They are then averaged and are smoothed out to nearby computational grid points. Themethod has been applied both to test problems as well as to more complex engineering problems, wherethere are not many real competitive alternatives to the proposed method. Simulations of creeping ... (More)
this paper considers flow around arbitrarily shaped objects. The boundary conditions on the solidboundaries 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 byinterpolation or by local (Gaussian space) average. The source terms are determined iteratively as part ofthe solution. They are then averaged and are smoothed out to nearby computational grid points. Themethod has been applied both to test problems as well as to more complex engineering problems, wherethere are not many real competitive alternatives to the proposed method. Simulations of creeping flowaround a sphere were studied in order to evaluate the performance of different, competitive approaches of imposing boundary conditions. Using local averaging first-order accuracy is obtained; this can beimproved by using a Lagrangian polynomial instead, although the convergence is then considerablyslower. Simulations of flows around spheres in the Reynolds number range 1 – 1000 have been carriedout. Finally, the approach was used to describe the impellers in a turbine agitated mixer. For these cases,the results show overall good agreement with other computational and experimental results (Less)
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keywords
Cartesian grid, stirred reactor, virtual boundary method
in
International Journal for Numerical Methods in Fluids
volume
35
pages
25 pages
publisher
John Wiley and Sons
ISSN
1097-0363
language
English
LU publication?
yes
id
209e6131-7cca-4d0e-b301-6e7e3b8f1830
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https://onlinelibrary.wiley.com/doi/pdf/10.1002/1097-0363%2820010130%2935%3A2%3C125%3A%3AAID-FLD82%3E3.0.CO%3B2-O
date added to LUP
2019-04-30 19:25:41
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2020-10-28 04:04:28
@article{209e6131-7cca-4d0e-b301-6e7e3b8f1830,
  abstract     = {this  paper  considers  flow  around  arbitrarily  shaped  objects.  The  boundary  conditions  on  the  solidboundaries 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 byinterpolation or by local (Gaussian space) average. The source terms are determined iteratively as part ofthe  solution.  They  are  then  averaged  and  are  smoothed  out  to  nearby  computational  grid  points.  Themethod has been applied both to test problems as well as to more complex engineering problems, wherethere  are  not  many  real  competitive  alternatives  to  the  proposed  method.  Simulations  of  creeping  flowaround a sphere were studied in order to evaluate the performance of different, competitive approaches of  imposing  boundary  conditions.  Using  local  averaging  first-order  accuracy  is  obtained;  this  can  beimproved  by  using  a  Lagrangian  polynomial  instead,  although  the  convergence  is  then  considerablyslower.  Simulations  of  flows  around  spheres  in  the  Reynolds  number  range  1 – 1000  have  been  carriedout. Finally, the approach was used to describe the impellers in a turbine agitated mixer. For these cases,the  results  show  overall  good  agreement  with  other  computational  and  experimental  results},
  author       = {Revstedt, Johan and Fuchs, Laszlo},
  issn         = {1097-0363},
  language     = {eng},
  pages        = {125--150},
  publisher    = {John Wiley and Sons},
  series       = {International Journal for Numerical Methods in Fluids},
  title        = {Handling complex boundaries on a Cartesian grid using surface singularities},
  url          = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/1097-0363%2820010130%2935%3A2%3C125%3A%3AAID-FLD82%3E3.0.CO%3B2-O},
  volume       = {35},
  year         = {2001},
}