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Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
https://orcid.org/http://orcid.org/0000-0002-7072-1175
https://orcid.org/http://orcid.org/0000-0003-1181-1637
https://orcid.org/http://orcid.org/0009-0001-1844-5628
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.
Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
https://orcid.org/http://orcid.org/0000-0002-7072-1175
https://orcid.org/http://orcid.org/0000-0003-1181-1637
https://orcid.org/http://orcid.org/0009-0001-1844-5628
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.
Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
https://orcid.org/http://orcid.org/0000-0002-7072-1175
https://orcid.org/http://orcid.org/0000-0003-1181-1637
https://orcid.org/http://orcid.org/0009-0001-1844-5628
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.
Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
Lecture Notes in Civil Engineering
Menon, N. Vinod Chandra (editor) / Kolathayar, Sreevalsa (editor) / Rodrigues, Hugo (editor) / Sreekeshava, K. S. (editor) / Mallikarjunaiah, S. M. (author) / Kesavulu Naidu, V. (author) / Madhusudhan, R. (author) / Anand, N. (author)
International Conference on Interdisciplinary Approaches in Civil Engineering for Sustainable Development ; 2023
Recent Advances in Civil Engineering for Sustainable Communities ; Chapter: 22 ; 241-247
2024-03-26
7 pages
Article/Chapter (Book)
Electronic Resource
English
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