TY - JOUR
T1 - An immersed boundary method on unstructured cartesian meshes for incompressible flows with heat transfer
AU - Pan, Dartzi
N1 - 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
PY - 2006/9
Y1 - 2006/9
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.
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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 -