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

Dartzi Pan

doi:10.1080/10407790500290709

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

Dartzi Pan

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	277-297
Number of pages	21
Journal	Numerical Heat Transfer, Part B: Fundamentals
Volume	49
Issue number	3
DOIs	https://doi.org/10.1080/10407790500290709
Publication status	Published - 2006 Sep

All Science Journal Classification (ASJC) codes

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

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title = "An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer",

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.",

author = "Dartzi Pan",

note = "Funding Information: Received 4 February 2005; accepted 27 May 2005. This work is funded by National Science Council of Republic of China under the grants NSC91-2212-E006-104 and NSC92-2212-E006-105. The support is highly appreciated. Address correspondence to Dartzi Pan, Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, Republic of China. E-mail: dpan@mail.ncku.edu.tw",

year = "2006",

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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.

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