Novel wavelet-homotopy Galerkin technique for analysis of lid-driven cavity flow and heat transfer with non-uniform boundary conditions

2018 ◽  
Vol 39 (12) ◽  
pp. 1691-1718 ◽  
Author(s):  
Qiang Yu ◽  
Hang Xu
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Cavity Flow ◽  
Driven Cavity ◽  
Galerkin Technique ◽  
Flow And Heat Transfer ◽  
Driven Cavity Flow

scholarly journals Mixed Convection and Heat Transfer Studies in Non-Uniformly Heated Buoyancy Driven Cavity Flow

2017 ◽  
Vol 07 (02) ◽  
pp. 231-262
Author(s):  
A. D. Abin Rejeesh ◽  
Selvarasu Udhayakumar ◽  
T. V. S. Sekhar ◽  
Rajagopalan Sivakumar
Keyword(s):  
Heat Transfer ◽  
Mixed Convection ◽  
Cavity Flow ◽  
Convection And Heat Transfer ◽  
Driven Cavity ◽  
Driven Cavity Flow

scholarly journals Using the Lid-Driven Cavity Flow to Validate Moment-Based Boundary Conditions for the Lattice Boltzmann Equation

2017 ◽  
Vol 64 (1) ◽  
pp. 57-74 ◽  
Author(s):  
Seemaa Mohammed ◽  
Tim Reis
Keyword(s):  
Boundary Conditions ◽  
Lattice Boltzmann ◽  
Cavity Flow ◽  
Distribution Functions ◽  
Driven Cavity ◽  
Slip Boundary ◽  
Multiple Relaxation Time ◽  
Driven Cavity Flow ◽  
Grid Points ◽  
The Moment

Abstract The accuracy of the Moment Method for imposing no-slip boundary conditions in the lattice Boltzmann algorithm is investigated numerically using lid-driven cavity flow. Boundary conditions are imposed directly upon the hydrodynamic moments of the lattice Boltzmann equations, rather than the distribution functions, to ensure the constraints are satisfied precisely at grid points. Both single and multiple relaxation time models are applied. The results are in excellent agreement with data obtained from state-of-the-art numerical methods and are shown to converge with second order accuracy in grid spacing.

scholarly journals Numerical Simulation of Slip effect on Lid-Driven Cavity Flow Problem for High Reynolds Number: Vorticity – Stream Function Approach

2021 ◽  
Vol 8 (3) ◽  
pp. 418-424
Author(s):  
Syed Fazuruddin ◽  
Seelam Sreekanth ◽  
G. Sankara Sekhar Raju
Keyword(s):  
Reynolds Number ◽  
Stream Function ◽  
Stokes Equations ◽  
Cavity Flow ◽  
Partial Slip ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Slip Conditions ◽  
Driven Cavity Flow

Incompressible 2-D Navier-stokes equations for various values of Reynolds number with and without partial slip conditions are studied numerically. The Lid-Driven cavity (LDC) with uniform driven lid problem is employed with vorticity - Stream function (VSF) approach. The uniform mesh grid is used in finite difference approximation for solving the governing Navier-stokes equations and developed MATLAB code. The numerical method is validated with benchmark results. The present work is focused on the analysis of lid driven cavity flow of incompressible fluid with partial slip conditions (imposed on side walls of the cavity). The fluid flow patterns are studied with wide range of Reynolds number and slip parameters.

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