| Author | Dan Givoli, Joseph E. Flaherty and Mark S. Shephard |
|---|---|
| Title | Parallel Adaptive Finite Element Analysis of Viscous Flows Based on a Combined Compressible-Incompressible Formulation |
| Year | 1996 |
| Journal | Journal of Numerical Methods for Heat and Fluid Flow |
| Volume | 7 |
| Pages | 880-906 |
| Abstract | A new finite element scheme is described for the large-scale analysis of compressible and incompressible viscous flows. The scheme is based on a combined compressible-incompressible Galerkin Least-Squares (GLS) space-time variational formulation. Three-dimensional unstructured meshes are employed, with piecewise-constant temporal interpolation, local time-stepping for steady flows, and linear continuous spatial interpolation in all the variables. The scheme incorporates automatic adaptive mesh refinement, with a choice of various error indicators. It is implemented on a distributed-memory parallel computer, and includes an automatic load-balancing procedure. The ability to solve both compressible and incompressible viscous flow problems using the parallel adaptive framework is demonstrated via numerical examples. These include Mach 3 flow over a flat plate, and a divergence-free buoyancy-driven flow in a cavity. The latter is a model for the steady melt flow in a Czochralski crystal growth process. |
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