Velocity–vorticity–helicity formulation and a solver for the Navier–Stokes equations
نویسندگان
چکیده
منابع مشابه
Modified augmented Lagrangian preconditioners for the incompressible NavierStokes equations
We study different variants of the augmented Lagrangian (AL)-based block-triangular preconditioner introduced by the first two authors in [SIAM J. Sci. Comput. 2006; 28: 2095–2113]. The preconditioners are used to accelerate the convergence of the Generalized Minimal Residual method (GMRES) applied to various finite element and Marker-and-Cell discretizations of the Oseen problem in two and thr...
متن کاملVelocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations
For the three-dimensional incompressible Navier-Stokes equations, we present a formulation featuring velocity, vorticity and helical density as independent variables. We find the helical density can be observed as a Lagrange multiplier corresponding to the divergence-free constraint on the vorticity variable, similar to the pressure in the case of the incompressibility condition for velocity. A...
متن کاملA Multigrid Solver for the Steady State Navier-stokes Equations Using the Pressure-poisson Formulation
This paper presents an eecient multigrid solver for steady-state Navier-Stokes equations in 2D on non-staggered grids. The pressure Poisson equation formulation is used, together with a nite volume discretization. A discretization of the boundary conditions for pressure and velocities is presented. An eecient multigrid algorithm for solving the resulting discrete equations is then developed. Th...
متن کاملA study on the global regularity for a model of the 3D axisymmetric NavierStokes equations
We investigates the global regularity issue concerning a model equation proposed by Hou and Lei [3] to understand the stabilizing effects of the nonlinear terms in the 3D axisymmetric Navier-Stokes and Euler equations. Two major results are obtained. The first one establishes the global regularity of a generalized version of their model with a fractional Laplacian when the fractional power sati...
متن کاملthe search for the self in becketts theatre: waiting for godot and endgame
this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...
15 صفحه اولذخیره 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: Journal of Computational Physics
سال: 2010
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2010.02.012