An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer

Dartzi Pan

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)

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 languageEnglish
Pages (from-to)277-297
Number of pages21
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume49
Issue number3
DOIs
Publication statusPublished - 2006 Sep

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications

Fingerprint Dive into the research topics of 'An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer'. Together they form a unique fingerprint.

Cite this