Locally chosen grad-div stabilization parameters for finite element discretizations of incompressible flow problems

نویسندگان

  • Nathan D. Heavner
  • Leo G. Rebholz
چکیده

Grad-div stabilization has recently been found to be an important tool for finite element method simulations of incompressible flow problems, acting to improve mass conservation in solutions and reducing the effect of the pressure error on the velocity error. Typically, the associated stabilization parameter is chosen globally, but herein we consider local choices. We show that, both for an analytic test problem and for lift and drag calculations of flow around a cylinder, local choices of the grad-div stabilization parameter can provide more accurate solutions.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Efficient Augmented Lagrangian-type Preconditioning for the Oseen Problem using Grad-Div Stabilization

Efficient preconditioning for Oseen-type problems is an active research topic. We present a novel approach leveraging stabilization for inf-sup stable discretizations. The Grad-Div stabilization shares the algebraic properties with an augmented Lagrangian-type term. Both simplify the approximation of the Schur complement, especially in the convection dominated case. We exploit this for the cons...

متن کامل

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

The divergence constraint of the incompressible Navier–Stokes equations is revisited in the mixed finite element framework. While many stable and convergent mixed elements have been developed throughout the past four decades, most classical methods relax the divergence constraint and only enforce the condition discretely. As a result, these methods introduce a pressure-dependent consistency err...

متن کامل

10th International Workshop on Variational Multiscale and Stabilized Finite Elements (VMS2015)

for 10th International Workshop on Variational Multiscale and Stabilized Finite Elements (VMS2015) Some open problems of inf-sup stable FEM for incompressible flow problems G. Lube∗ Georg-August University Göttingen, Institute for Numerical and Applied Mathematics [email protected] In this talk, I will address some open problems occuring in the numerical approximation of incompressibl...

متن کامل

On the parameter choice in grad-div stabilization for the Stokes equations

Standard error analysis for grad-div stabilization of inf-sup stable conforming pairs of finite element spaces predicts that the stabilization parameter should be optimally chosen to be O(1). This paper revisits this choice for the Stokes equations on the basis of minimizing the H(Ω) error of the velocity and the L(Ω) error of the pressure. It turns out, by applying a refined error analysis, th...

متن کامل

Enabling numerical accuracy of the Navier-Stokes-α through deconvolution and enhanced stability

We propose and analyze a finite element method for approximating solutions to the NavierStokes-alpha model (NS-α) that utilizes approximate deconvolution and a modified grad-div stabilization and greatly improves accuracy in simulations. Standard finite element schemes for NS-α suffer from two major sources of error if their solutions are considered approximations to true fluid flow: 1) the con...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014