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    Nonconforming Spectral Element Method for Oseen Equations and Navier-Stokes Equations

    New search for: Abdel Wahab, Magd
    New search for: Kishore Kumar, N.
    New search for: Mohapatra, Subhashree

    In this paper, we discuss the performance of a least-squares-based spectral element solver for Oseen equations on two-dimensional curvilinear domains and three-dimensional Navier-Stokes equations. Both equations are solved in primitive form without any first-order reformulation. The spectral approximation is nonconforming, and the same order spectral element functions are used for both velocity and pressure variables. A suitable preconditioner has been proposed using ADN theory in order to control the condition number of the system. Numerical results are obtained using the preconditioned conjugate gradient method. Numerical results show that the method is exponentially accurate in both velocity and pressure variables. Mass conservation property of the used solver has been displayed.

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    Nonconforming Spectral Element Method for Oseen Equations and Navier-Stokes Equations

    New search for: Abdel Wahab, Magd
    New search for: Kishore Kumar, N.
    New search for: Mohapatra, Subhashree

    In this paper, we discuss the performance of a least-squares-based spectral element solver for Oseen equations on two-dimensional curvilinear domains and three-dimensional Navier-Stokes equations. Both equations are solved in primitive form without any first-order reformulation. The spectral approximation is nonconforming, and the same order spectral element functions are used for both velocity and pressure variables. A suitable preconditioner has been proposed using ADN theory in order to control the condition number of the system. Numerical results are obtained using the preconditioned conjugate gradient method. Numerical results show that the method is exponentially accurate in both velocity and pressure variables. Mass conservation property of the used solver has been displayed.

    Access

    Check access
    Check availability in my library
    Order at Subito €

    Nonconforming Spectral Element Method for Oseen Equations and Navier-Stokes Equations

    New search for: Abdel Wahab, Magd
    New search for: Kishore Kumar, N.
    New search for: Mohapatra, Subhashree

    In this paper, we discuss the performance of a least-squares-based spectral element solver for Oseen equations on two-dimensional curvilinear domains and three-dimensional Navier-Stokes equations. Both equations are solved in primitive form without any first-order reformulation. The spectral approximation is nonconforming, and the same order spectral element functions are used for both velocity and pressure variables. A suitable preconditioner has been proposed using ADN theory in order to control the condition number of the system. Numerical results are obtained using the preconditioned conjugate gradient method. Numerical results show that the method is exponentially accurate in both velocity and pressure variables. Mass conservation property of the used solver has been displayed.

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    Title:

    Nonconforming Spectral Element Method for Oseen Equations and Navier-Stokes Equations

    Additional title:

    Lecture Notes in Civil Engineering

    Contributors:

    Abdel Wahab, Magd (editor) / Kishore Kumar, N. (author) / Mohapatra, Subhashree (author)

    Published in:

    Proceedings of the 5th International Conference on Numerical Modelling in Engineering ; Chapter: 1 ; 1-10

    Lecture Notes in Civil Engineering ; 311

    Publication date:

    2023-02-14

    Size:

    10 pages

    ISBN:

    978-981-19-8429-7 , 978-981-19-8428-0

    ISSN:

    2366-2565 , 2366-2557

    DOI:

    https://doi.org/10.1007/978-981-19-8429-7_1

    Type of media:

    Article/Chapter (Book)

    Type of material:

    Electronic Resource

    Language:

    English

    Keywords:

    Engineering , Civil Engineering , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics

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