Stokes and Navier–Stokes equations with Navier boundary condition
نویسندگان
چکیده
منابع مشابه
Implementation 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 کاملOptimization with the time-dependent Navier-Stokes equations as constraints
In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...
متن کاملInviscid Large deviation principle and the 2D Navier Stokes equations with a free boundary condition
Using a weak convergence approach, we prove a LPD for the solution of 2D stochastic Navier Stokes equations when the viscosity converges to 0 and the noise intensity is multiplied by the square root of the viscosity. Unlike previous results on LDP for hydrodynamical models, the weak convergence is proven by tightness properties of the distribution of the solution in appropriate functional spaces.
متن کاملBoundary feedback stabilization of Navier-Stokes equations
The aim of this work is to design an explicit finite dimensional boundary feedback controller for stabilizing the equilibrium solutions to Navier-Stokes equations on a bounded and open domain in R, under the assumption that the unstable eigenvalues of the Stokes-Oseen operator are semisimple. The form of the stabilizing feedback is related to that one in [V. Barbu, 2012, [1]]. In comparison to ...
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: Comptes Rendus Mathematique
سال: 2019
ISSN: 1631-073X
DOI: 10.1016/j.crma.2018.12.002