Euler calculations with embedded Cartesian grids and small-perturbation boundary conditions
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 t...
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| Veröffentlicht in: | Journal of computational physics 2010-05, Vol.229 (9), p.3523-3542 |
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| container_issue | 9 |
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| container_title | Journal of computational physics |
| container_volume | 229 |
| creator | Liao, W. Koh, E.P.C. Tsai, H.M. Liu, F. |
| description | 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. |
| doi_str_mv | 10.1016/j.jcp.2010.01.014 |
| format | Article |
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| ispartof | Journal of computational physics, 2010-05, Vol.229 (9), p.3523-3542 |
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| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Boundary conditions Cartesian Cartesian grid Computation Computational efficiency Computational techniques Displacement Embedded multigrid Exact sciences and technology Least squares method Least-squares approximation Mathematical analysis Mathematical methods in physics Physics Small-perturbation method Surface boundary Unsteady flow |
| title | Euler calculations with embedded Cartesian grids and small-perturbation boundary conditions |
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