In this chapter, we consider an efficient finite element discretization of a fully nonlinear, one-dimensional Darcy–Brinkman–Forchheimer fluid model. We provide a competent Damped Newton’s method type linearization coupled with Lagrange finite elements for the numerical solution of the model. The accuracy of the finite element solution is verified by comparing it with a solution from the literature. The method proposed in this chapter is very effective in handling the nonlinear differential equations and can be readily applied to partial differential equations.


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    Titel :

    Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model


    Weitere Titelangaben:

    Lecture Notes in Civil Engineering


    Beteiligte:
    Menon, N. Vinod Chandra (Herausgeber:in) / Kolathayar, Sreevalsa (Herausgeber:in) / Rodrigues, Hugo (Herausgeber:in) / Sreekeshava, K. S. (Herausgeber:in) / Mallikarjunaiah, S. M. (Autor:in) / Kesavulu Naidu, V. (Autor:in) / Madhusudhan, R. (Autor:in) / Anand, N. (Autor:in)

    Kongress:

    International Conference on Interdisciplinary Approaches in Civil Engineering for Sustainable Development ; 2023 July 07, 2023 - July 08, 2023



    Erscheinungsdatum :

    26.03.2024


    Format / Umfang :

    7 pages





    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch