×

zbMATH — the first resource for mathematics

Natural convection of air in a square cavity: A bench mark numerical solution. (English) Zbl 0538.76075
Two dimensional natural convection in a square cavity with differentially heated side walls is studied numerically. Mesh refinement and extrapolation techniques are used to improve accuracy. The governing equations are solved on a square mesh by a finite difference method, forward differences were used for the time derivatives and second order central differences were used for all space derivatives. Results obtained are given comparatively.
Reviewer: M.M.Aral

MSC:
76R10 Free convection
76M99 Basic methods in fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Sheu, Appl. Mech. Rev. 21 pp 985– (1968)
[2] Optimum Seeking Methods, Prentice-Hall, Englewood Cliffs, New Jersey, 1964.
[3] and , Foundations of Optimization, Prentice-Hall, Englewood Cliffs, New Jersey. 1967.
[4] Zoutendijk, SIAM J. Control 4 pp 1– (1966)
[5] Fletcher, Comput. J. 6 pp 2– (1963)
[6] Kiefer, Proc. Am. math. Soc. 4 pp 502– (1953)
[7] Rosenbrock, Comput. J. 3 pp 3– (1960)
[8] Fiacco, Man. Sci. 10 pp 601– (1964) · doi:10.1287/mnsc.10.4.601
[9] Wilde, Ops. Res. 13 pp 5– (1965)
[10] ’Arch dams of minimum volume’, Int. Symp. Computers struct. Engng, University of Newcastle-upon-Tyne, 1966.
[11] Optimum Design of Structures of Unspecified Geometry, Ph.D. Thesis, University of Liverpool, 1969.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.