Unstructured mesh procedures for the simulation of three-dimensional transient compressible inviscid flows with moving boundary components. (English) Zbl 0905.76046
Summary: The solution of high-speed transient inviscid compressible flow problems in three dimensions is considered. Discretization of the spatial domain is accomplished by the use of tetrahedral elements generated by Delaunay triangulation with automatic point creation. Methods of adapting the mesh to allow for boundary movement are considered and a strategy for ensuring boundary recovery is proposed. An explicit multistage time-stepping algorithm is employed to advance the flow solution. A number of examples are included to illustrate the proposed procedures.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
Keywords:
mesh adaptation; tetrahedral elements; Delaunay triangulation; automatic point creation; explicit multistage time-stepping algorithmReferences:
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