System and method for polytopic mesh refinement
| DWPI Title: Conformal polytope set providing method, involves listing input polytope if no m-boundaries are selected, and listing and outputting conformal set of polytopes to visual display, printed report, mass storage device and simulator |
| Abstract: A method is disclosed for partitioning an input polytope into a conformal set of polytopes according to a subdivision pattern specified on lower-dimensional boundaries of the input polytope. A feature of this method is that it is applicable to any dimension. For input polytopes that are hexahedra isomorphic to a 3-dimensional cube, all members of the conforming partition will be hexahedra isomorphic to a 3-dimensional cube. A further feature of the invention is that it preserves convexity; a convex input polytope will result in a conformal partition comprising convex polytopes. Finally, the method may be used to process large conformal meshes of input polytopes in parallel and produce a globally conformal partition without the requirement of communication between processes. |
| Use: Method for providing a conformal set of polytopes that partition a nonsimplicial n-dimensional input polytope using a computer. |
| Advantage: The method preserves convexity, processes large conformal meshes of input polytopes in parallel, and produces a globally conformal partition without the requirement of communication between processes. |
| Novelty: The method involves listing an input polytope if no m-boundaries are selected by an indicator function. A conformal set of polytopes is listed, where the conformal set is defined by the vertices of an input polytope, the vertices placed on m-boundaries of the input polytope indicated by the indicator function, and the vertices on the l-boundaries for any m+1≤ l≤ n-1 and in the interior of the input polytope. The conformal set of polytopes is output to a visual display, a printed report, a mass storage device and a simulator. |
| Filed: 6/2/2009 |
| Application Number: US2009476335A |
| Tech ID: SD 11050.1 |
| This invention was made with Government support under Contract No. DE-NA0003525 awarded by the United States Department of Energy/National Nuclear Security Administration. The Government has certain rights in the invention. |
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