The lid-driven cavity is an important fluid mechanical system that serves as a benchmark for testing numerical methods and studying fundamental aspects of incompressible flows in confined volumes. These are driven by the tangential motion bounding wall. This article presents complete study flows, with primary focus being placed on development flow when Reynolds number was increased. In order to...

Analysis of lid driven square cavity flow air with three different ranges Ri and Re are analyzed using numerically. Adiabatic temperature is maintained at horizontal walls isothermal established the vertical in which top wall assumed to slide a uniform speed. Finite volume method techniques have used solve non dimensional governing equations. To visualize thermal characteristics, control parame...

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...

This paper deals with the numerical study of bifurcations in the twodimensional lid-driven cavity. Two specific geometries are considered. The first geometry is the two-sided non facing (2SNF) cavity: the velocity is imposed on the upper and the left sides of the cavity. The second geometry is the four-sided (4S) cavity where all the sides have a prescribed motion. For the first time, the linea...

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...

This work is concerned with application of the Lattice Boltzmznn Method (LBM) to compute flows in micro-geometries. The choice of using LBM for microflow simulation is a good one owing to the fact that it is based on the Boltzmann equation which is valid for the whole range of the Knudsen number. In this work LBM is applied to simulate the pressure driven microchannel flows and micro lid-driven...

A benchmark quality solution is presented for ow in a staggered double lid driven cavity obtained by using the wavelet-based discrete singular convolution (DSC). The proposed wavelet based algorithm combines local methods’ exibility and global methods’ accuracy, and hence, is a promising approach for achieving the high accuracy solution of the Navier–Stokes equations. Block structured grids wit...

In this paper, we present numerical results obtained by an in-house incompressible fluid flow solver based on isogeometric analysis (IgA) for the standard benchmark problem simulation – lid-driven cavity flow. The steady Navier-Stokes equations are solved in their velocity-pressure formulation and consider only inf-sup stable pairs of B-spline discretization spaces. main aim paper is to compare...