Penalization method for viscous incompressible flow around a porous thin layer

Brinkmann Model and Double Penalization Method for the flow around a Porous Thin Layer ,

Two Dimensional Incompressible Viscous Flow Around a Thin Obstacle Tending to a Curve

In [9] the author considered the two dimensional Euler equations in the exterior of a thin obstacle shrinking to a curve and determined the limit velocity. In the present work, we consider the same problem in the viscous case, proving convergence to a solution of the Navier-Stokes equations in the exterior of a curve. The uniqueness of the limit solution is also shown.

Two-dimensional Incompressible Viscous Flow around a Small Obstacle

In this work we study the asymptotic behavior of viscous incompressible 2D flow in the exterior of a small material obstacle. We fix the initial vorticity ω0 and the circulation γ of the initial flow around the obstacle. We prove that, if γ is sufficiently small, the limit flow satisfies the full-plane Navier-Stokes system, with initial vorticity ω0 + γδ, where δ is the standard Dirac measure. ...

A Projection Method for Incompressible Viscous Flow on a

A Projection Method for Incompressible Viscous Flow on a Deformable Domain by David Paul Trebotich Doctor of Philosophy in Mechanical Engineering University of California, Berkeley Professor Phillip Colella, Chair 1 A second-order accurate finite difference method is presented for numerical solution of the incompressible Navier-Stokes equations on a deformable domain. The target problem is flow...

Divergence-free Wavelet Projection Method for Incompressible Viscous Flow

We present a new wavelet numerical scheme for the discretization of Navier-Stokes equations with physical boundary conditions. The temporal discretization of the method is inspired from the projection method. Helmholtz-Hodge decomposition using divergence-free and curl-free wavelet bases satisfying physical boundary conditions allows to define the projection operator. This avoids the use of Poi...