Approximate factorization scheme for elliptic grid generation with control functions

Mathur, JS and Chakrabartty, SK (1994) Approximate factorization scheme for elliptic grid generation with control functions. Numerical Methods for Partial Differential Equations, 10 (6). pp. 703-713.

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Abstract

An Alternating Direction Implicit (ADI), Approximate Factorization (AF) scheme is presented here for the solution of the two-dimensional elliptic partial differential equations, with control functions as source terms, used for grid generation. This scheme requires significantly less computational effort than a Successive Over Relaxation (SOR) scheme. The dependence of the choice of the acceleration parameter on the rate of convergence of the AF scheme has been studied. As an example, grids generated by this method are shown, along with a comparison of the convergence history for the present AF and SOR schemes.

Item Type: Journal Article
Uncontrolled Keywords: Acceleration; Algorithms; Convergence of numerical methods; Describing functions; Differential equations; Fluid dynamics; Transonic flow; Alternating direction implicit; Approximate factorization scheme; Control functions; Elliptic grid generation; Fluid dynamic equations; Successive over relaxation; Approximation theory;
Subjects: AERONAUTICS > Aerodynamics
Division/Department: Computational and Theoretical Fluid Dynamics Division, Computational and Theoretical Fluid Dynamics Division
Depositing User: Mr Vijaianand SK
Date Deposited: 10 Mar 2005
Last Modified: 24 May 2010 09:38
URI: http://nal-ir.nal.res.in/id/eprint/331

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