The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
نویسندگان
چکیده
منابع مشابه
Exact Controllability for the Three-dimensional Navier-Stokes Equations with the Navier Slip Boundary Conditions
In this paper we establish the local exact internal controllability of steady state solutions for the Navier-Stokes equations in three-dimensional bounded domains, with the Navier slip boundary conditions. The proof is based on a Carlemantype estimate for the backward Stokes equations with the same boundary conditions, which is also established here.
متن کاملViscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
We tackle the issue of the inviscid limit of the incompressible Navier-Stokes equations when the Navier slip-with-friction conditions are prescribed on the impermeable boundaries. We justify an asymptotic expansion which involves a weak amplitude boundary layer, with the same thickness as in Prandtl’s theory and a linear behavior. This analysis holds for general regular domains, in both dimensi...
متن کاملThe Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations
The purpose of this paper is twofold. First, we give a derivation of the Lagrangian averaged Euler (LAE-α) and Navier-Stokes (LANS-α) equations. This theory involves a spatial scale α and the equations are designed to accurately capture the dynamics of the Euler and Navier-Stokes equations at length scales larger than α, while averaging the motion at scales smaller than α. The derivation involv...
متن کاملAbsorbing boundary conditions for the Euler and Navier-Stokes equations with the spectral difference method
Two absorbing boundary conditions, the absorbing sponge zone and the perfectly matched layer, are developed and implemented for the spectral difference method discretizing the Euler and Navier–Stokes equations on unstructured grids. The performance of both boundary conditions is evaluated and compared with the characteristic boundary condition for a variety of benchmark problems including vorte...
متن کاملNumerical methods for the Stokes and Navier-Stokes equations driven by threshold slip boundary conditions
In this article, we discuss the numerical solution of the Stokes and Navier-Stokes equations completed by nonlinear slip boundary conditions of friction type in two and three dimensions. To solve the Stokes system, we first reduce the related variational inequality into a saddle point-point problem for a well chosen augmented Lagrangian. To solve this saddle point problem we suggest an alternat...
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: Nonlinearity
سال: 2003
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/16/3/318