Abstract
The incompressible Navier-Stokes equations with heat transfer are solved by an implicit pressure-correction method on unstructured Cartesian meshes. An immersed boundary method is also implemented to treat arbitrary solid bodies in the flow field. The domain occupied by the immersed bodies is viewed as being occupied by the same fluid as outside, with a prescribed velocity and temperature field. With this view, the pressure inside the immersed bodies satisfies the same pressure Poisson equation as outside. Multigrid methods are developed to solve the difference equations for pressure, velocity, and temperature field. Various forced-convection and natural-convection test problems are computed to validate the present methodology.
| Original language | English |
|---|---|
| Pages (from-to) | 277-297 |
| Number of pages | 21 |
| Journal | Numerical Heat Transfer, Part B: Fundamentals |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2006 Sep 1 |
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All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Modelling and Simulation
- Condensed Matter Physics
- Mechanics of Materials
- Computer Science Applications
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An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer. / Pan, Dartzi.
In: Numerical Heat Transfer, Part B: Fundamentals, Vol. 49, No. 3, 01.09.2006, p. 277-297.Research output: Contribution to journal › Article
TY - JOUR
T1 - An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer
AU - Pan, Dartzi
PY - 2006/9/1
Y1 - 2006/9/1
N2 - The incompressible Navier-Stokes equations with heat transfer are solved by an implicit pressure-correction method on unstructured Cartesian meshes. An immersed boundary method is also implemented to treat arbitrary solid bodies in the flow field. The domain occupied by the immersed bodies is viewed as being occupied by the same fluid as outside, with a prescribed velocity and temperature field. With this view, the pressure inside the immersed bodies satisfies the same pressure Poisson equation as outside. Multigrid methods are developed to solve the difference equations for pressure, velocity, and temperature field. Various forced-convection and natural-convection test problems are computed to validate the present methodology.
AB - The incompressible Navier-Stokes equations with heat transfer are solved by an implicit pressure-correction method on unstructured Cartesian meshes. An immersed boundary method is also implemented to treat arbitrary solid bodies in the flow field. The domain occupied by the immersed bodies is viewed as being occupied by the same fluid as outside, with a prescribed velocity and temperature field. With this view, the pressure inside the immersed bodies satisfies the same pressure Poisson equation as outside. Multigrid methods are developed to solve the difference equations for pressure, velocity, and temperature field. Various forced-convection and natural-convection test problems are computed to validate the present methodology.
UR - http://www.scopus.com/inward/record.url?scp=31744432757&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=31744432757&partnerID=8YFLogxK
U2 - 10.1080/10407790500290709
DO - 10.1080/10407790500290709
M3 - Article
AN - SCOPUS:31744432757
VL - 49
SP - 277
EP - 297
JO - Numerical Heat Transfer, Part B: Fundamentals
JF - Numerical Heat Transfer, Part B: Fundamentals
SN - 1040-7790
IS - 3
ER -