Weak imposition of the slip boundary condition on curved boundaries for Stokes flow
نویسندگان
چکیده
Article history: Received 16 January 2012 Received in revised form 27 April 2013 Accepted 19 August 2013 Available online 11 September 2013
منابع مشابه
A Simplified Curved Boundary Condition in Stationary/Moving Boundaries for the Lattice Boltzmann Method
Lattice Boltzmann method is one of computational fluid dynamic subdivisions. Despite complicated mathematics involved in its background, end simple relations dominate on it; so in comparison to the conventional computational fluid dynamic methods, simpler computer programs are needed. Due to its characteristics for parallel programming, this method is considered efficient for the simulation of ...
متن کاملImplementation of D3Q19 Lattice Boltzmann Method with a Curved Wall Boundary Condition for Simulation of Practical Flow Problems
In this paper, implementation of an extended form of a no-slip wall boundary condition is presented for the three-dimensional (3-D) lattice Boltzmann method (LBM) for solving the incompressible fluid flows with complex geometries. The boundary condition is based on the off-lattice scheme with a polynomial interpolation which is used to reconstruct the curved or irregular wall boundary on the ne...
متن کاملWeak imposition of boundary conditions for the Navier-Stokes equations
We prove the convergence of a finite element method for the NavierStokes equations in which the no-slip condition, u ·τ i = 0 on Γ for i = 1, 2 is imposed by a penalty method and the no-penetration condition, u·n = 0 on Γ, is imposed by Lagrange multipliers. This approach has been studied for the Stokes problem in [2]. In most flows the Reynolds number is not This work partially supported by NS...
متن کاملModeling the combined effect of surface roughness and shear rate on slip flow of simple fluids.
Molecular dynamics (MD) and continuum simulations are carried out to investigate the influence of shear rate and surface roughness on slip flow of a Newtonian fluid. For weak wall-fluid interaction energy, the nonlinear shear-rate dependence of the intrinsic slip length in the flow over an atomically flat surface is computed by MD simulations. We describe laminar flow away from a curved boundar...
متن کاملEffects of Slip Condition on the Characteristic of Flow in Ice Melting Process
In this paper a laminar flow of water on an ice layer subjected to a slip condition is considered numerically. The paper describes a parametric mathematical model to simulate the coupled heat and mass transfer events occurring in moving boundary problems associated with a quasi steady state steady flow process. The discretization technique of the elliptic governing differential equations of mas...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Comput. Physics
دوره 256 شماره
صفحات -
تاریخ انتشار 2014