Improving the Accuracy of the Numerical13; Solutions by Richardson Extrapolation13;

Deshpande, MD (2004) Improving the Accuracy of the Numerical13; Solutions by Richardson Extrapolation13;. Technical Report. National Aerospace Laboratories, Bangalore, India.

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    Abstract

    Most real life problems are non-linear and are amenable only to numerical13; methods. There is always a need to get accurate solutions on as coarse a grid as13; practical since xAF;ner grid means a requirement of large computer memory and time.13; This is true inspite of the fact that computers are getting faster and larger memory is13; available because the size and the complexity of the problems are also growing with13; the power of the computer. One can imagine several situations where a fast accurate13; numerical solution is required; for example such a solution being a part of a design13; cycle or an optimization process may require it to be solved for a large number of13; times.13; We will study the well known Richardson Extrapolation method here [1, 2, 3, 4, 6].13; This method will also be assessed for a rather dixB1;cult problem where the boundary13; condition is discontinuous. It is well known [3] that extrapolation methods do not work well if singular points exist inside the interval of interest. In fact, such methods depend on the basic assumption that the data under consideration are smooth. Hence the present example with a discontinuity in the boundary condition particularly becomes interesting and also very relevant. The problem of lid-driven cavity [5] may be given here as a popular example from computational xB0;uid mechanics with iscontinuous boundary conditions.13;

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Richardson Extrapolation;Numerical Solution
    Subjects: AERONAUTICS > Aerodynamics
    Division/Department: Computational and Theoretical Fluid Dynamics Division
    Depositing User: Ms Indrani V
    Date Deposited: 17 May 2005
    Last Modified: 24 May 2010 09:39
    URI: http://nal-ir.nal.res.in/id/eprint/764

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