Estimation and improvement of accuracy difference schemes with algebraic transformation

Deshpande, MD and Sengupta, TK (1986) Estimation and improvement of accuracy difference schemes with algebraic transformation. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    From an analysis of the truncation errors of finite difference schemes when a coordinate transformation is made conditions are derived to retain the order of accuracy. If the computational domain is segmented into sub-domains, problems of accuracy may specially arise at the subdomain boundaries where the derivatives of transformation function are discontinuous:' The conditions derived are on the continuity of higher order derivatives of the transformation function. Correction factors are developed to retain the second order accuracy and/or to minimise the truncation errors of certain central difference schemes when such conditions on transformation function are not met. 'Elimination of the need to satisfy these conditions greatly improves the flexibility on the choice of transformation functions. The effectiveness of the corrections is evaluated through a test case of numerical solution of Laplace equation on a square domain

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Finite difference;Truncation error;Algebraic transformation; Error estimation;Error reduction
    Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
    Division/Department: Fluid Dynamics, Fluid Dynamics
    Depositing User: M/S ICAST NAL
    Date Deposited: 25 Sep 2006
    Last Modified: 24 May 2010 09:50
    URI: http://nal-ir.nal.res.in/id/eprint/2783

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