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Title: Euler calculations with embedded Cartesian grids and small-perturbation boundary conditions
Authors: Liao, W. 
Koh, E.P.C. 
Tsai, H.M. 
Liu, F.
Keywords: Cartesian grid
Embedded multigrid
Least-squares approximation
Small-perturbation method
Surface boundary
Issue Date: May-2010
Citation: Liao, W., Koh, E.P.C., Tsai, H.M., Liu, F. (2010-05). Euler calculations with embedded Cartesian grids and small-perturbation boundary conditions. Journal of Computational Physics 229 (9) : 3523-3542. ScholarBank@NUS Repository.
Abstract: This study examines the use of stationary Cartesian mesh for steady and unsteady flow computations. The surface boundary conditions are imposed by reflected points. A cloud of nodes in the vicinity of the surface is used to get a weighted average of the flow properties via a gridless least-squares technique. If the displacement of the moving surface from the original position is typically small, a small-perturbation boundary condition method can be used. To ensure computational efficiency, multigrid solution is made via a framework of embedded grids for local grid refinement. Computations of airfoil wing and wing-body test cases show the practical usefulness of the embedded Cartesian grids with the small-perturbation boundary conditions approach. © 2010 Elsevier Inc.
Source Title: Journal of Computational Physics
ISSN: 00219991
DOI: 10.1016/
Appears in Collections:Staff Publications

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