An error estimate for two-dimensional Stokes driven cavity flow

An error estimate for two-dimensional Stokes driven cavity flow

Discontinuous velocity boundary data for the lid driven cavity flow has long been causing difficulties in both theoretical analysis and numerical simulations. In finite element methods, the variational form for the driven cavity flow is not valid since the velocity is not in H. Hence standard error estimates do not work. By using only W1,r (1 < r < 2) regularity and constructing a continuous ap...

Comparison of three different numerical schemes for 2D steady incompressible lid-driven cavity flow

In this study, a numerical solution of 2D steady incompressible lid-driven cavity flow is presented. Three different numerical schemes were employed to make a comparison on the practicality of the methods. An alternating direction implicit scheme for the vorticity-stream function formulation, explicit and implicit schemes for the primitive variable formulation of governing Navier-Stokes equatio...

Three-dimensional flow instabilities in a thermocapillary-driven cavity.

A linear stability analysis of the buoyant-thermocapillary flow in open rectangular cavities with aspect ratios in the range Gamma=1.2 to 8 is carried out for Prandtl number Pr=10 and conditions of previous experiments. The results are in very good agreement with most available experimental data. The energy transfer between the basic and the perturbation flow reveals that buoyancy is not direct...

An Opertional Method for The Numerical Solution of Two Dimensional Linear Fredholm Integral Equations With an Error Estimation

Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity

The main goal of this article is to investigate the capability of an operator-splitting/finite elements based methodology at handling accurately incompressible viscous flow at large Reynolds number (Re) in regions with corners and curved boundaries. To achieve this goal the authors have selected a wall-driven flow in a semi-circular cavity. On the basis of the numerical experiments reported in ...