1 Department of Mathematics, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China 2Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan 3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 4Center for Fundamental Science, Kaohsiung Medical University, K...

The aim of the project is to construct, analyse and implement fast and reliable numerical solution methods to simulate multi-phase flow, modeled by a coupled system consisting of the time-dependent Cahn-Hilliard and incompressible Navier-Stokes equations with variable viscosity and variable density. This thesis mainly discusses the efficient solution methods for the latter equations aiming at c...

We compute shear viscosity and flavor diffusion coefficients for ultra-relativistic gauge theory with many fermionic species, Nf≫1, to leading order in 1/Nf . The calculation is performed both at leading order in the effective coupling strength gNf , using the Hard Thermal Loop (HTL) approximation, and completely to all orders in gNf . This constitutes a nontrivial test of how well the HTL appr...

the present study deals with the analysis of the effects of radiative heat transfer of micropolar fluid flow over a porous and stretching sheet in the presence of magnetic field. the dynamic viscosity and thermal conductivity coefficient have formulated by temperature-dependent relations to obtain more exact results. the flow is supposed two-dimensional, incompressible, steady and laminar and t...

Fluid turbulence is commonly modeled by the Navier-Stokes equations with a large Reynolds number. The simulation of turbulence model is known to be very difficult. We study artificial spectral viscosity models that render the simulation of turbulence tractable. The models introduce several parameters. We show that the models have solutions that converge, in certain parameter limits, to solution...