An adaptive differencing scheme for flow and heat transfer problems

Journal Article · Mon Mar 01 04:00:00 EST 1993 · Numerical Heat Transfer. Part B, Fundamentals; (United States)

DOI:https://doi.org/10.1080/10407799308914895· OSTI ID:5951959

Rhodes, T; Acharya, S ^[1]

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1. Louisiana State Univ., Baton Rouge, LA (United States). Mechanical Engineering Dept.

A solution-adaptive differencing scheme is presented for equidistributing a measure of the solution error in flow and heat transfer problems. The first step in the algorithm is to compute an error estimate based on a preliminary first-order upwind solution [phi][sub 0]. Grid points with error estimates higher than a prespecified value are flagged. In each flagged region, a third-order-accurate solution is obtained with boundary conditions based on [phi][sub 0]. A multigrid-type calculation is then performed, to the desired level of accuracy, between the outer grid and the flagged inner regions. Results with the adaptive differencing algorithm indicate that significant improvements are obtained.

• OSTI ID: 5951959
• Journal Information: Numerical Heat Transfer. Part B, Fundamentals; (United States), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 23:2; ISSN 1040-7790; ISSN NHBFEE
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CALCULATION METHODS
DATA COVARIANCES
ENERGY TRANSFER
FLUID FLOW
HEAT TRANSFER
NUMERICAL SOLUTION