Numerical solution of Navier stokes equation using control volume and finite element method

Numerical Solution of the Stationary Navier-Stokes Equations Using a Multilevel Finite Element Method

The numerical implementation of a multilevel finite element method for the steadystate Navier–Stokes equations is considered. The multilevel method proposed here for the Navier– Stokes equations is a multiscale method in which the full nonlinear Navier–Stokes equations are only solved on a single coarse grid; subsequent approximations are generated on a succession of refined grids by solving a ...

A Finite Element Solution Algorithm for the Navier-stokes Equations

Moving mesh finite element method for unsteady Navier-Stokes flow

In this paper, we use moving mesh fintie element method based upon 4P1 − P1 element to solve the time-dependent Navier-Stokes equations in 2D. Twolayer nested meshes are used including velocity mesh and pressure mesh, and velocity mesh can be obtained by globally refining pressure mesh. We use hierarchy geometry tree to store the nested meshes. This data structure make convienence for adaptive ...

A Mixed Finite Element Method for Navier-stokes Equations

This paper describes a numerical solution of Navier-Stokes equations. It includes algorithms for discretization by finite element methods and a posteriori error estimation of the computed solutions. In order to evaluate the performance of the method, the numerical results are compared with some previously published works or with others coming from commercial code like ADINA system. AMS Mathemat...

Numerical simulation of a voice- producing element based on Navier Stokes equations and the Finite Element Method

When the larynx of a patient has been removed surgically to treat laryngeal cancer, voice restoration can result in a rather poor speech quality. To improve the rehabilitation process a voice-producing element has been developed, based on the so-called lip principle, in which the lips behave like the lips of a musician while playing a brass instrument. To optimize the voice-producing element, a...