Vorticity and Stream Function Formulations for the 2D Navier–Stokes Equations in a Bounded Domain
نویسندگان
چکیده
منابع مشابه
A Characterization at Infinity of Bounded Vorticity, Bounded Velocity Solutions to the 2d Euler Equations
We characterize the possible behaviors at infinity of weak solutions to the 2D Euler equations in the full plane having bounded velocity and bounded vorticity. We show that any such solution can be put in the form obtained by Ph. Serfati in 1995 after a suitable change of reference frame. Our results build on those of a recent paper of the author’s, joint with Ambrose, Lopes Filho, and Nussenzv...
متن کاملMeshfree point collocation method for the stream-vorticity formulation of 2D incompressible Navier–Stokes equations
Meshfree point collocation method is developed for the stream-vorticity formulation of two-dimensional incompressible Navier– Stokes equations. Particular emphasis is placed on the novel formulation of effective vorticity condition on no-slip boundaries. The moving least square approximation is employed to construct shape functions in conjunction with the framework of point collocation method. ...
متن کاملH2 solutions for the stream function and vorticity formulation of the Navier-Stokes equations
We show that the two dimensional Navier–Stokes equations in the stream function and vorticity form with nonhomogeneous boundary conditions have a unique solution with a stream function having two space derivatives. 2005 Published by Elsevier Inc.
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 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 Mathematical Fluid Mechanics
سال: 2020
ISSN: 1422-6928,1422-6952
DOI: 10.1007/s00021-019-0479-5