FINITE ANALYTIC METHOD AND ITS APPLICATIONS - A REVIEW

This paper describes the development of the finite analytic (FA) metho d and several engineering applications. In the finite analytic method, the governing differential equations are discretized into algebraic e quations based on an analytic solution on the small computational elem ent. Nine-point and five-point FA discretization schemes for two-dimen sional Navier-Stokes equations are described for simple and complex bo undaries. A 19-point FA discretization scheme for three-dimensional Na vier-Stokes equations is also presented. The finite analytic method ex hibits the properties of stability, convergence and grid independence. It is also shown that the FA method can be successfully used in probl ems with irregular domains. Evidence of the versatility of the FA meth od is demonstrated in successful modeling of two-dimensional turbulent sea breeze and three-dimensional channel flow with conjugate heat tra nsfer. (C) 1997 Elsevier Science B.V.