An explicit stabilised finite element method for Navier-Stokes-Brinkman equations

Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations

Abstract. An interface stabilised finite element method for the incompressible Navier-Stokes equations is presented. The method inherits the attractive stabilising mechanism of upwinded discontinuous Galerkin methods when momentum advection becomes significant, equal-order interpolations can be used for the velocity and pressure fields, and mass can be conserved locally. In contrast with discon...

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...

Newton's method for the Navier-Stokes equations with finite-element initial guess of stokes equations

K e y w o r d s N a v i e r S t o k e s equations, Stokes equations, Convergence, Finite element method, Newton's method. 1. I N T R O D U C T I O N In the course of so lv ing non l inear equa t ions like Navie r -S tokes equa t ions , one m a y e m p l o y N e w t o n and Newtonl ike m e t h o d s combin ing wi th o the r m e t h o d s (see, for example , [1-3], etc.) . I t is well known t h a...

A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier–Stokes equations

Recently, Douglas et al. [4] introduced a new, low-order, nonconforming rectangular element for scalar elliptic equations. Here, we apply this element in the approximation of each component of the velocity in the stationary Stokes and Navier–Stokes equations, along with a piecewiseconstant element for the pressure. We obtain a stable element in both cases for which optimal error estimates for t...

An Adaptive Finite Element Method for the Incompressible Navier{stokes Equations on Time-dependent Domains