We demonstrate the specific non-Boussinesq roles played by various fluid properties in thermal convection by allowing each of them to possess, one at a time, a temperature dependence that could be either positive or negative. The negative temperature dependence of the coefficient of thermal expansion hinders effective thermal convection and reduces the Nusselt number, whereas the negative depen...

in recent years, the number of research works devoted to applying the highly accurate numerical schemes, in particular compact finite difference schemes, to numerical simulation of complex flow fields with multi-scale structures, is increasing. the use of compact finite-difference schemes are the simple and powerful ways to reach the objectives of high accuracy and low computational cost. compa...

The problem of transient natural convection in a cube-shaped cavity is investigated experimentally and numerically. The motion is driven by a sudden temperature difference applied to two opposite side walls of the vessel. The experiments are performed at a Rayleigh number of 1.66 · 10 and a Prandtl number of 1109, inside a 5 · 5 · 5cm cavity made of plexiglas, with two isothermal copper walls k...

We study numerically a recently introduced formulation of incompressible Newtonian fluid equations in vorticity – helical density and velocity – Bernoulli pressure variables. Unlike most numerical methods based on vorticity equations, the current approach provides discrete solutions with mass conservation, divergencefree vorticity, and accurate kinetic energy balance in a simple and natural way...

Fluid Flow via Reduced Order Modeling1 John A. Burns, Belinda B. King Center for Optimal Design and Control Interdisciplinary Center for Applied Mathematics Virginia Polytechnic Institute and State University Blacksburg, VA 24061{0531 Diana Rubio Center for Research in Scienti c Computation North Carolina State University Raleigh, NC 27695{8205 Abstract In this paper, we study the e ect of mode...