A multipoint vorticity mixed finite element method for incompressible Stokes flow

نویسندگان

چکیده

We propose a mixed finite element method for Stokes flow with one degree of freedom per and facet simplicial grids. The is derived by considering the vorticity-velocity-pressure formulation eliminating vorticity locally through use quadrature rule. discrete solution pointwise divergence-free pressure robust. theoretically convergence rates are confirmed numerical experiments.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mixed Finite Element Methods for Incompressible Flow: Stationary Stokes Equations

In this article, we develop and analyze a mixed finite element method for the Stokes equations. Our mixed method is based on the pseudostress-velocity formulation. The pseudostress is approximated by the RaviartThomas (RT) element of index k ≥ 0 and the velocity by piecewise discontinuous polynomials of degree k. It is shown that this pair of finite elements is stable and yields quasi-optimal a...

متن کامل

A stabilized mixed finite element method for Darcy–Stokes flow

This paper presents a new stabilized finite element method for the Darcy–Stokes equations also known as the Brinkman model of lubrication theory. These equations also govern the flow of incompressible viscous fluids through permeable media. The proposed method arises from a decomposition of the velocity field into coarse/resolved scales and fine/unresolved scales. Modelling of the unresolved sc...

متن کامل

A Multipoint Flux Mixed Finite Element Method

We develop a mixed finite element method for single phase flow in porous media that reduces to cell-centered finite differences on quadrilateral and simplicial grids and performs well for discontinuous full tensor coefficients. Motivated by the multipoint flux approximation method where sub-edge fluxes are introduced, we consider the lowest order Brezzi-Douglas-Marini (BDM) mixed finite element...

متن کامل

Simple finite element method in vorticity formulation for incompressible flows

A very simple and eÆcient nite element method is introduced for two and three dimensional viscous incompressible ows using the vorticity formulation. The method relies on recasting traditional nite element method in the spirit of the high order accurate nite di erence methods introduced by the authors in [10]. Optimal accuracy of arbitrary order can be achieved using standard nite element or sp...

متن کامل

A Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity

We present a new multiscale/stabilized finite element method for compressible and incompressible elasticity. The multiscale method arises from a decomposition of the displacement field into coarse (resolved) and fine (unresolved) scales. The resulting stabilizedmixed form consistently represents the fine computational scales in the solution and thus possesses higher coarse mesh accuracy. The en...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2023

ISSN: ['1873-5452', '0893-9659']

DOI: https://doi.org/10.1016/j.aml.2022.108498