In the following, we prove new regularity results for two-dimensional steady periodic capillary water waves with vorticity, in the absence of stagnation points. Firstly, we prove that if the vorticity function has a Hölder-continuous first derivative, then the free surface is a smooth curve and the streamlines beneath the surface will be real analytic. Furthermore, once we assume that the vor...

The generation of vorticity in the two-dimensional creeping flow of an incompressible, electrically conducting viscous fluid past a localized magnetic field distribution is analyzed under the low magnetic Reynolds number approximation. It is shown that the Lorentz force produced by the interaction of the induced electric currents with the nonuniform magnetic field acts as an obstacle for the fl...

Submitted for the DFD11 Meeting of The American Physical Society A coarse-grid projection method for accelerating incompressible flow computations OMER SAN, ANNE STAPLES, Virginia Tech — We present a coarse-grid projection (CGP) algorithm for accelerating incompressible flow computations, which is applicable to methods involving Poisson equations as incompressibility constraints. CGP methodolog...

Conclusions A new exact solution to the Navier–Stokes equations for  ow in the vicinity of the forward stagnation streamline on a sphere has been developed. These solutions describe the  owŽ eld all of the way from the body surface to the uniform  ow far from the body, in contrast to the traditional stagnation point solutions and, hence, may be used to obtain solutions for the entire range o...

This paper presents a new numerical method for image inpainting based on the vorticity stream function formulation of the Navier-Stokes Equations. The method employs a finite volume discretization and a Runge-Kutta time stepping scheme with dissipative terms. A stability analysis of the proposed numerical method has been performed to determine the maximum allowable time step for which the compu...

In this paper free convection from a horizontal isothermal elliptic tube placed in a micropolar fluid with its major axis vertical is investigated. The governing equations are based on the conservation of mass, linear momentum, angular momentum and energy. The full governing equations written in stream function-vorticity formulation are solved numerically using the Spectral method based on Four...

A numerical study is performed to investigate the effect of height-to-width aspect ratio, Grashof number, and Schmidt number on the Double-diffusive convection of a fluid contained in a rectangular cavity with partially thermally active side walls. The active part of the left side wall is at a higher temperature and concentration than that of the right side wall. The length of the thermally act...

The formulation of consistent boundary conditions for the quasi-geostrophic (QG) model with an extended Kalman lter in a data assimilation scheme is discussed. To form a well-posed boundary value problem for the QG model, the stream function must be speciied at all boundaries and the vorticity must be speciied at the innow boundaries. The situation becomes signiicantly more complicated when pro...

This paper is concerned with the transition to turbulence in flat plate boundary layers due to moderately high levels of free-stream turbulence. The turbulence is assumed to be generated by an (idealized) grid and matched asymptotic expansions are used to analyse the resulting flow over a finite thickness flat plate located in the downstream region. The characteristic Reynolds number Rλ based o...