Parallel algorithms for fluid dynamics problems
Journal Article
·
· Nucl. Sci. Eng.; (United States)
OSTI ID:6219906
The application of parallel algorithms to the solution of fluid dynamics problems is considered. Most of the work concerns the solution of the two- and three-dimensional incompressible Navier-Stokes equations, steady and unsteady. The results are relevant for the above-mentioned parallel machines, but the methods can be adapted for use on vector machines. Concerning parallel algorithms, the easiest and possibly those with the widest potential application are relaxation techniques based on red-black (R-B) ordering. The use of R-B successive overrelaxation, R-B LSOR, etc., on two- and three-dimensional cavity flows, unsteady channel, and boundary layer flows at high Reynolds numbers is considered. While these methods are extremely problem dependent, in the favorable cases they can be as competitive as more sophisticated serial vectorized algorithms. As far as parallel algorithms are concerned, the most important criteria are what is the cost per iteration, and how fast do they converge. For application on serial machines, the latter factor seems to dominate.
- Research Organization:
- Univ. of Exeter, Dept. of Mathematics, Exeter (GB)
- OSTI ID:
- 6219906
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 100:4; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
220400 -- Nuclear Reactor Technology-- Control Systems
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990210 -- Supercomputers-- (1987-1989)
ALGORITHMS
ARRAY PROCESSORS
CAVITIES
COMPUTERS
DIFFERENTIAL EQUATIONS
DIGITAL COMPUTERS
DYNAMICS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
INCOMPRESSIBLE FLOW
ITERATIVE METHODS
MATHEMATICAL LOGIC
MECHANICS
NAVIER-STOKES EQUATIONS
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING
REYNOLDS NUMBER
SUPERCOMPUTERS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
220400 -- Nuclear Reactor Technology-- Control Systems
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990210 -- Supercomputers-- (1987-1989)
ALGORITHMS
ARRAY PROCESSORS
CAVITIES
COMPUTERS
DIFFERENTIAL EQUATIONS
DIGITAL COMPUTERS
DYNAMICS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
INCOMPRESSIBLE FLOW
ITERATIVE METHODS
MATHEMATICAL LOGIC
MECHANICS
NAVIER-STOKES EQUATIONS
PARALLEL PROCESSING
PARTIAL DIFFERENTIAL EQUATIONS
PROGRAMMING
REYNOLDS NUMBER
SUPERCOMPUTERS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS