Multigrid Mapping and Box Relaxation for Simulation of the Whole Process of Flow Transition in 3D Boundary Layers
✍ Scribed by Chaoqun Liu; Zhining Liu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 659 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
A new multilevel methodology is developed in this study to provide a successful numerical simulation for the whole process of flow transition in 3D flat plate boundary layers, including linear growth, secondary instability, breakdown, and transition on a relatively coarse grid with low CPU cost. For high-order accuracy, good stability, and fast convergence, this approach uses a fourth-order finite difference scheme on stretched and staggered grids, a fully implicit time-marching technique, a semi-coarsening multigrid based on the so-called approximate line-box relaxation, and a buffer domain for the outflow boundary conditions. A new fine-coarsefine grid dissipation technique was developed to capture the large eddies and represent the main roles of small eddies to keep the code running after the laminar flow breaks down. The computational results are in good agreement with linear stability theory, secondary instability theory, and some experiments. The computation also reproduced the K-type and C-type transitions observed by laboratory experiments. The CPU cost for a typical case is around 2-9 CRAY-YMP hours. (3) 1995 Academic Press, Inc.