On the Stream Function-Vorticity Finite Element Formulation for Incompressible Flow in Porous Media
نویسندگان
چکیده
منابع مشابه
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 کاملA Stabilized Finite Element Method for Stream Function Vorticity Formulation of Navier-stokes Equations
We the solvability of the two-dimensional stream function-vorticity formulation of the Navier-Stokes equations. We use the time discretization and the method of characteristics order one for solving a quasi-Stokes system that we discretize by a piecewise continuous finite element method. A stabilization technique is used to overcome the loss of optimal error estimate. Finally a parallel numeric...
متن کاملA New Finite Element Formulation for Incompressible Flow
A basic objective in computational uid dynamics is the eecient solution of nonlinear systems of equations that arise in nite element modeling of convective-diiusive ow. The use of implicit Newton-like schemes to solve the coupled system of Navier-Stokes and continuity equations enables rapid convergence, although the well-known diiculty of indirect pressure linkage requires attention when formi...
متن کاملA Hybridized Crouziex-Raviart Nonconforming Finite Element and Discontinuous Galerkin Method for a Two-Phase Flow in the Porous Media
In this study, we present a numerical solution for the two-phase incompressible flow in the porous media under isothermal condition using a hybrid of the linear lower-order nonconforming finite element and the interior penalty discontinuous Galerkin (DG) method. This hybridization is developed for the first time in the two-phase modeling and considered as the main novelty of this research.The p...
متن کاملIncompressible Flow Computations Based on the Vorticity-stream Function and Velocity-pressure Formulations
Finite element procedures and computations based on the velocity-pressure and vorticitystream function formulations of incompressible flows are presented. Two new multi-step velocity-pressure formulations are proposed and are compared with the vorticity-stream function and one-step formulations. The example problems chosen are the standing vortex problem and flow past a circular cylinder. Bench...
متن کاملذخیره 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: Advances in Numerical Analysis
سال: 2014
ISSN: 1687-9562,1687-9570
DOI: 10.1155/2014/459761