Differences between Navier-Stokes-Fourier (NSF) slip/jump solutions and direct simulation Monte-Carlo (DSMC) computations are highlighted for a micro lid-driven cavity problem. The results indicate a need for better modelling techniques which at the same time retain low computational cost of NSF models. We also highlight the fact that many micro-flows that have been considered are simple planar...

Numerical study on the effect of inclination angle with sinusoidal heating on top moving lid in two-dimensional square cavity is investigated. The top lid is heated sinusoidally while the bottom wall is maintained at cold temperature. The vertical walls are insulated and the cavity is filled with water. Finite volume method and SIMPLE algorithm are employed to solve the dimensionless governing ...

Abstract In this study, the heat transfer and fluid flow characteristics of mixed convection in a double lid driven cavity containing conducting solid obstacle presence magnetic field is numerically investigated. The left right vertical walls are isothermally heated cooled respectively while horizontal thermally insulated. A cylinder positioned at centre cavity. Mathematical model has been deve...

Incompressible Navier-Stokes solvers based on the projection method often require an expensive numerical solution of a Poisson equation for a pressure-like variable. This often involves linear system solvers based on iterative and multigrid methods which may limit the ability to scale to large numbers of processors. The artificial compressibility method (ACM) [6] introduces a time derivative of...

In this work, the stencil adaptive method is applied to investigate the effects of a magnetic field on mixed convection of Al2O3-water nanofluid in a square lid-driven cavity. The incompressible Navier-Stokes equations are solved by an adaptive mesh method which has superior numerical advantages compared to the traditional method on the uniform fine grid. The main objective of this study is to ...

Lattice Boltzmann method is relatively new method in the field of computational fluid dynamics. It has been derived from lattice gas automata and is still under development. Basic steps of the LBM (collision, streaming, boundary conditions, macroscopic quantities) will be presented. Comparison with the finite difference method that uses Navier-Stokes equation on a lid driven cavity benchmark te...