Analysis of Stabilization Operators in a Galerkin Least-Squares Finite Element Discretization of the Incompressible Navier-Stokes Equations
نویسنده
چکیده
Abstract In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the numerical discretization.
منابع مشابه
A multiscale finite element method for the incompressible Navier–Stokes equations
This paper presents a new multiscale finite element method for the incompressible Navier–Stokes equations. The proposed method arises from a decomposition of the velocity field into coarse/resolved scales and fine/unresolved scales. Modeling of the unresolved scales corrects the lack of stability of the standard Galerkin formulation and yields a method that possesses superior properties like th...
متن کاملA Parallel Nonlinear Additive Schwarz Preconditioned Inexact Newton Algorithm for Incompressible Navier-Stokes Equations ?
A nonlinear additive Schwarz preconditioned inexact Newton method (ASPIN) was introduced recently for solving large sparse highly nonlinear system of equations obtained from the discretization of nonlinear partial differential equations. In this paper, we discuss some extensions of ASPIN for solving the steady-state incompressible Navier-Stokes equations with high Reynolds numbers in the veloci...
متن کاملA Sobolev Gradient Method for Treating the Steady-state Incompressible Navier-Stokes Equations
The velocity-vorticity-pressure formulation of the steady-state incompressible Navier-Stokes equations in two dimensions is cast as a nonlinear least squares problem in which the functional is a weighted sum of squared residuals. A finite element discretization of the functional is minimized by a trust-region method in which the trust-region radius is defined by a Sobolev norm and the trust-reg...
متن کاملIncompressible laminar flow computations by an upwind least-squares meshless method
In this paper, the laminar incompressible flow equations are solved by an upwind least-squares meshless method. Due to the difficulties in generating quality meshes, particularly in complex geometries, a meshless method is increasingly used as a new numerical tool. The meshless methods only use clouds of nodes to influence the domain of every node. Thus, they do not require the nodes to be conn...
متن کاملDevelopment of Efficient Interface Sharpening Procedure for Viscous Incompressible Flows
The paper describes the development of the efficient interface sharpening procedure for viscous incompressible flows governed by the Navier–Stokes equations. The moving interface has been captured by a pseudo-concentration method. The solution domain has been discretised by the space-time finite elements, while numerical schemes have been stabilised by the Galerkin least squares method. The dam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004