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Title: A multilevel adaptive projection method for unsteady incompressible flow

Abstract

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.

Authors:
Publication Date:
Research Org.:
Lawrence Livermore National Lab., CA (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States); Department of Defense, Washington, DC (United States)
OSTI Identifier:
10170098
Report Number(s):
UCRL-JC-112327; CONF-9304164-1
ON: DE93016418; CNN: Agreement IACR0 93-817; TRN: 93:002150
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
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
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, 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

Citation Formats

Howell, L H. A multilevel adaptive projection method for unsteady incompressible flow. United States: N. p., 1993. Web.
Howell, L H. A multilevel adaptive projection method for unsteady incompressible flow. United States.
Howell, L H. 1993. "A multilevel adaptive projection method for unsteady incompressible flow". United States.
@article{osti_10170098,
title = {A multilevel adaptive projection method for unsteady incompressible flow},
author = {Howell, L H},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/10170098}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon May 17 00:00:00 EDT 1993},
month = {Mon May 17 00:00:00 EDT 1993}
}

Conference:
Other availability
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