Finite analytic method and its applications

a review

Lin Wanlai Lin, Yousef Haik, R. Bernatz, Jen Chen Ching Jen Chen

Research output: Contribution to journalArticle

Abstract

This paper describes the development of the finite analytic (FA) method and several engineering applications. In the finite analytic method, the governing differential equations are discretized into algebraic equations based on an analytic solution on the small computational element. Nine-point and five-point FA discretization schemes for two-dimensional Navier-Stokes equations are described for simple and complex boundaries. A 19-point FA discretization scheme for three-dimensional Navier-Stokes equations is also presented. The finite analytic method exhibits the properties of stability, convergence and grid independence. It is also shown that the FA method can be successfully used in problems with irregular domains. Evidence of the versatility of the FA method is demonstrated in successful modeling of two-dimensional turbulent sea breeze and three-dimensional channel flow with conjugate heat transfer.

Original languageEnglish
Pages (from-to)17-33
Number of pages17
JournalDynamics of Atmospheres and Oceans
Volume27
Issue number1-4
Publication statusPublished - 1998
Externally publishedYes

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Navier Stokes equations
Channel flow
Navier-Stokes equations
Differential equations
Heat transfer
three-dimensional flow
sea breeze
channel flow
heat transfer
method
engineering
modeling

ASJC Scopus subject areas

  • Atmospheric Science
  • Geology
  • Oceanography

Cite this

Wanlai Lin, L., Haik, Y., Bernatz, R., & Ching Jen Chen, J. C. (1998). Finite analytic method and its applications: a review. Dynamics of Atmospheres and Oceans, 27(1-4), 17-33.

Finite analytic method and its applications : a review. / Wanlai Lin, Lin; Haik, Yousef; Bernatz, R.; Ching Jen Chen, Jen Chen.

In: Dynamics of Atmospheres and Oceans, Vol. 27, No. 1-4, 1998, p. 17-33.

Research output: Contribution to journalArticle

Wanlai Lin, L, Haik, Y, Bernatz, R & Ching Jen Chen, JC 1998, 'Finite analytic method and its applications: a review', Dynamics of Atmospheres and Oceans, vol. 27, no. 1-4, pp. 17-33.
Wanlai Lin L, Haik Y, Bernatz R, Ching Jen Chen JC. Finite analytic method and its applications: a review. Dynamics of Atmospheres and Oceans. 1998;27(1-4):17-33.
Wanlai Lin, Lin ; Haik, Yousef ; Bernatz, R. ; Ching Jen Chen, Jen Chen. / Finite analytic method and its applications : a review. In: Dynamics of Atmospheres and Oceans. 1998 ; Vol. 27, No. 1-4. pp. 17-33.
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