Efficient implementation of a finite-difference/Galerkin method for simulation of large aspect ratio convection
Journal Article
·
· Numerical Heat Transfer. Part B, Fundamentals; (United States)
- Duke Univ., Durham, NC (United States). Dept. of Mechanical Engineering and Materials Science
The efficiency of a mixed finite-difference/Galerkin method is examined for simulation of steady two-dimensional Rayleigh-Benard convection of large aspect ratio. It is found that computation time is reduced by an order of magnitude for large-aspect-ratio systems if the summations resulting from the formation of inner products are expanded prior to code compilation. The expansion of the summations is carried out by a source code utility, which writes the expanded and simplified source. This eliminates the need to store and multiply sparse tensors. The method extends to large-aspect-ratio problems that would previously be computationally impractical using the finite-difference/Galerkin technique.
- OSTI ID:
- 6968950
- Journal Information:
- Numerical Heat Transfer. Part B, Fundamentals; (United States), Vol. 26:1; ISSN 1040-7790
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HEAT TRANSFER
MATHEMATICAL MODELS
COMPUTERIZED SIMULATION
CONVECTION
FINITE DIFFERENCE METHOD
GALERKIN-PETROV METHOD
CALCULATION METHODS
ENERGY TRANSFER
ITERATIVE METHODS
MASS TRANSFER
NUMERICAL SOLUTION
SIMULATION
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HEAT TRANSFER
MATHEMATICAL MODELS
COMPUTERIZED SIMULATION
CONVECTION
FINITE DIFFERENCE METHOD
GALERKIN-PETROV METHOD
CALCULATION METHODS
ENERGY TRANSFER
ITERATIVE METHODS
MASS TRANSFER
NUMERICAL SOLUTION
SIMULATION
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers