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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    Title :

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


    Additional title:

    Lecture Notes in Civil Engineering



    Conference:

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



    Publication date :

    2024-03-26


    Size :

    7 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English