Numerical Techniques For Solution Of Rayleigh-Benard Thermal Stability Problem Using Chebyshev Collocation Method.

Selvarajan, S and Narayanan, V S (1992) Numerical Techniques For Solution Of Rayleigh-Benard Thermal Stability Problem Using Chebyshev Collocation Method. Technical Report. NAL, Bangalore.

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    Abstract

    Most Of The Stability Problems In Fluid Mechanics May Be Reduced To Algebraic Eigenvalue Problems By Certain Simplifying Assumptions. The Problem Still Poses A Difficu'lity In Solving, Due To The Non-Linearity Of The Eigenvalue Appearing In The Equation . An Algorithm To Solve This Type Of Problem Is Presented And Applied To A Specific Problem, Namely The Rayleigh- Benard Thermal Stability Problem.The Differential Equations Governing The Phenomenon Are Reduced To Algebraic Form Using The Chebyshev-Gauss-Lobatto Collocation Method. On Applying Boundary Conditions (Free-Free),An Over-Determined System Of Equations Is Obtained .With Suitable Matrix Manipulation, This May Be Reduced To A General Eigenvalue Problem . The Resulting Algebraic Form Of The Generalised Eigenvalue Problem Is Solved Using The QZ Algorithm

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Rayleigh-Bernard Thermal Stability Problem ;Chebyshev Collocation Method
    Subjects: ASTRONAUTICS > Astronautics (General)
    Division/Department: Experimental Aerodynamics Division, Experimental Aerodynamics Division
    Depositing User: M/S ICAST NAL
    Date Deposited: 08 Aug 2012 15:30
    Last Modified: 08 Aug 2012 15:30
    URI: http://nal-ir.nal.res.in/id/eprint/10768

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