Planar vortex patch problem in incompressible steady flow
نویسندگان
چکیده
منابع مشابه
On the evolution of a singular vortex patch in a two-dimensional incompressible fluid flow
The angle evolution of a tangent-slope discontinuity on a singular vortex patch, i.e. a patch of vorticity with tangent discontinuities in its boundary, is studied from a numerical and theoretical point of view. Different numerical examples show that the angle shrinks for an initial angle less than 90◦, the angle widens when the initial angle is greater than 90◦ or is approximately preserved fo...
متن کاملEXISTENCE OF A STEADY FLOW WITH A BOUNDED VORTEX IN AN UNBOUNDED DOMAIN
We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear elliptic partial differential equation. The result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearra...
متن کاملPressure-Velocity Coupled Finite Volume Solution of Steady Incompressible Invscid Flow Using Artificial Compressibility Technique
Application of the computer simulation for solving the incompressible flow problems motivates developing efficient and accurate numerical models. The set of Inviscid Incompressible Euler equations can be applied for wide range of engineering applications. For the steady state problems, the equation of continuity can be simultaneously solved with the equations of motion in a coupled manner using...
متن کاملComparison of three different numerical schemes for 2D steady incompressible lid-driven cavity flow
In this study, a numerical solution of 2D steady incompressible lid-driven cavity flow is presented. Three different numerical schemes were employed to make a comparison on the practicality of the methods. An alternating direction implicit scheme for the vorticity-stream function formulation, explicit and implicit schemes for the primitive variable formulation of governing Navier-Stokes equatio...
متن کاملBlending Finite-Difference and Vortex Methods for Incompressible Flow Computations
We describe and illustrate numerical procedures that combine grid and particle solvers for the solution of the incompressible Navier–Stokes equations. These procedures include vortex in cell (VIC) and domain decomposition schemes. Numerical comparisons with pure finitedifference methods demonstrate the effectiveness of these techniques for various flow geometries, bounded or unbounded.
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 Mathematics
سال: 2015
ISSN: 0001-8708
DOI: 10.1016/j.aim.2014.09.027