A multilevel adaptive projection method for unsteady incompressible flow
There are two main requirements for practical simulation of unsteady flow at high Reynolds number: the algorithm must accurately propagate discontinuous flow fields without excessive artificial viscosity, and it must have some adaptive capability to concentrate computational effort where it is most needed. The first of these requirements is satisfied with a second-order Godunov method similar to those used for high-speed flows with shocks, and the second with a grid-based refinement scheme which avoids some of the drawbacks associated with unstructured meshes. These two features of the author`s algorithm place certain constraints on the projection method used to enforce incompressibility. Velocities are cell-based, leading to a Laplacian stencil for the projection which decouples adjacent grid points. The author discusses features of the multigrid and multilevel iteration schemes required for solution of the resulting decoupled problem. Variable-density flows require use of a modified projection operator -- a multigrid method has been found for this modified projection that successfully handles density jumps of thousands to one. Numerical results are shown for the 2D adaptive and 3D variable-density algorithms.
- Research Organization:
- Lawrence Livermore National Lab., CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 10170098
- Report Number(s):
- UCRL-JC-112327; CONF-9304164-1; ON: DE93016418; CNN: Agreement IACR0 93-817; TRN: 93:002150
- Resource Relation:
- Conference: 6. Copper Mountain conference on multigrid methods,Copper Mountain, CO (United States),4-9 Apr 1993; Other Information: PBD: 17 May 1993
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INCOMPRESSIBLE FLOW
COMPUTERIZED SIMULATION
UNSTEADY FLOW
REYNOLDS NUMBER
VISCOSITY
ALGORITHMS
661300
420400
990200
OTHER ASPECTS OF PHYSICAL SCIENCE
HEAT TRANSFER AND FLUID FLOW
MATHEMATICS AND COMPUTERS