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)

DOI:https://doi.org/10.1080/10407799408914920· OSTI ID:6968950

Howle, L E ^[1]

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1. 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), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 26:1; ISSN 1040-7790; ISSN NHBFEE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
CALCULATION METHODS
COMPUTERIZED SIMULATION
CONVECTION
ENERGY TRANSFER
FINITE DIFFERENCE METHOD
GALERKIN-PETROV METHOD
HEAT TRANSFER
ITERATIVE METHODS
MASS TRANSFER
MATHEMATICAL MODELS
NUMERICAL SOLUTION
SIMULATION