Asymptotic Behavior of the Navier--Stokes System in a Thin Domain with Navier Condition on a Slightly Rough Boundary
نویسندگان
چکیده
منابع مشابه
Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary
We consider the Navier-Stokes equations of an incompressible fluid in a three dimensional curved domain with permeable walls in the limit of small viscosity. Using a curvilinear coordinate system, adapted to the boundary, we construct a corrector function at order ε , j = 0, 1, where ε is the (small) viscosity parameter. This allows us to obtain an asymptotic expansion of the Navier-Stokes solu...
متن کاملOn the asymptotic limit of the Navier-Stokes system on domains with rough boundaries
A proper choice of boundary conditions plays a significant role in the problems studied in continuum fluid dynamics. In many theoretical studies as well as numerical experiments, the standard well-accepted hypothesis states that a viscous fluid adheres completely to the boundary of the physical domain provided the latter is impermeable. If u = u(t,x) is the Eulerian velocity of the fluid at a t...
متن کاملNavier-Stokes Equations with Navier Boundary Conditions for a Bounded Domain in the Plane
We consider solutions to the Navier-Stokes equations with Navier boundary conditions in a bounded domain Ω in R with a Cboundary Γ. Navier boundary conditions can be expressed in the form ω(v) = (2κ−α)v · τ and v ·n = 0 on Γ, where v is the velocity, ω(v) the vorticity, n a unit normal vector, τ a unit tangent vector, and α is in L∞(Γ). Such solutions have been considered in [2] and [3], and, i...
متن کاملImplementation of a free boundary condition to Navier- Stokes equations
Numerical prediction of flow physics involves the specification of boundary conditions to close the problem. Whether all or part of the boundary needs consideration depends on the nature of the investigated partial differential equations. Taking as an example, closure boundary conditions for Navier-Stokes equations at an incompressible limit take different forms because a time-dependent problem...
متن کاملTowards a Transparent Boundary Condition for Compressible Navier–stokes Equations
A new artificial boundary condition for 2D subsonic flows governed by the compressible Navier–Stokes equations is derived. It is based on the hyperbolic part of the equations, according to the way of propagation of the characteristic waves. A reference flow as well as a convection velocity are used to properly discretize the terms corresponding to the entering waves. Numerical tests on various ...
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: SIAM Journal on Mathematical Analysis
سال: 2013
ISSN: 0036-1410,1095-7154
DOI: 10.1137/120873479