Abstract
In this paper, we introduce the Navier-Stokes equations with a new boundary condition. In this context, we show the existence and uniqueness of the solution of the weak formulation associated with the proposed problem. To solve this latter, we use the discretization by mixed finite element method. In addition, two types of a posteriori error indicator are introduced and are shown to give global error estimates that are equivalent to the true error. In order to evaluate the performance of the method, the numerical results are compared with some previously published works and with others coming from commercial code like ADINA system.
Highlights
This paper describes a numerical solutions of Navier-stoks equations with a new boundary condition generalizes the will known basis conditions, especially the Dirichlet and the Neumann conditions
We prove that the weak formulation of the proposed modelling has an unique solution
We use the discretization by mixed finite element method
Summary
Abstract—In this paper, we introduce the Navier-Stokes equations with a new boundary condition. In this context, we show the existence and uniqueness of the solution of the weak formulation associated with the proposed problem. We show the existence and uniqueness of the solution of the weak formulation associated with the proposed problem To solve this latter, we use the discretization by mixed finite element method. Two types of a posteriori error indicator are introduced and are shown to give global error estimates that are equivalent to the true error. In order to evaluate the performance of the method, the numerical results are compared with some previously published works and with others coming from commercial code like ADINA system
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
