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