Radiation diffusion for multi-fluid Eulerian hydrodynamics with adaptive mesh refinement
Block-structured meshes provide the ability to concentrate grid points and computational effort in interesting regions of a flow field, without sacrificing the efficiency and low memory requirements of a regular grid. We describe an algorithm for simulating radiation diffusion on such a mesh, couple...
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Published in | Journal of computational physics Vol. 184; no. 1; pp. 53 - 78 |
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Format | Journal Article |
Language | English |
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2003
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Abstract | Block-structured meshes provide the ability to concentrate grid points and computational effort in interesting regions of a flow field, without sacrificing the efficiency and low memory requirements of a regular grid. We describe an algorithm for simulating radiation diffusion on such a mesh, coupled to multi-fluid gasdynamics. Conservation laws are enforced by using locally conservative difference schemes along with explicit synchronization operations between different levels of refinement. In unsteady calculations each refinement level is advanced at its own optimal timestep. Particular attention is given to the appropriate coupling between the fluid energy and the radiation field, the behavior of the discretization at sharp interfaces, and the form of synchronization between levels required for energy conservation in the diffusion process. Two- and three-dimensional examples are presented, including parallel calculations performed on an IBM SP-2. |
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AbstractList | Block-structured meshes provide the ability to concentrate grid points and computational effort in interesting regions of a flow field, without sacrificing the efficiency and low memory requirements of a regular grid. We describe an algorithm for simulating radiation diffusion on such a mesh, coupled to multi- fluid gasdynamics. Conservation laws are enforced by using locally conservative difference schemes along with explicit synchronization operations between different levels of refinement. In unsteady calculations each refinement level is advanced at its own optimal timestep. Particular attention is given to the appropriate coupling between the fluid energy and the radiation field, the behavior of the discretization at sharp interfaces, and the form of synchronization between levels required for energy conservation in the diffusion process. Two- and three-dimensional examples are presented, including parallel calculations performed on an IBM SP-2. Block-structured meshes provide the ability to concentrate grid points and computational effort in interesting regions of a flow field, without sacrificing the efficiency and low memory requirements of a regular grid. We describe an algorithm for simulating radiation diffusion on such a mesh, coupled to multi-fluid gasdynamics. Conservation laws are enforced by using locally conservative difference schemes along with explicit synchronization operations between different levels of refinement. In unsteady calculations each refinement level is advanced at its own optimal timestep. Particular attention is given to the appropriate coupling between the fluid energy and the radiation field, the behavior of the discretization at sharp interfaces, and the form of synchronization between levels required for energy conservation in the diffusion process. Two- and three-dimensional examples are presented, including parallel calculations performed on an IBM SP-2. (Author) |
Author | Howell, Louis H. Greenough, Jeffrey A. |
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Cites_doi | 10.1007/PL00013544 10.1006/jcph.1999.6240 10.1016/S0022-4073(00)00112-6 10.1007/978-3-642-58312-4_13 10.1086/159157 10.1016/S0022-4073(98)00132-0 10.1006/jcph.1996.0200 10.1006/jcph.1998.5890 10.1016/0021-9991(84)90073-1 10.1137/S1064827598339141 10.1137/S1064827594270555 10.1109/21.120081 10.1016/0021-9991(89)90035-1 10.1006/jcph.1994.1129 10.1086/310975 10.1137/0915008 10.1006/jcph.1999.6290 10.1137/S1064827595281587 10.1080/104077999275811 |
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