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.Full text not available from this repository.
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|
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