61 citations · 202 across the 47 of their papers we have counts for
4 papers · 1 filter
Modelling the dynamics of turbulent floods
Z. Mei, A. J. Roberts, Zhenquan Li
Consider the dynamics of turbulent flow in rivers, estuaries and floods. Based on the widely used k-epsilon model for turbulence, we use the techniques of centre manifold theory to…
The Accurate Modelling of Thin 3D Fluid Flows with Inertia on Curved Substrates
Zhenquan Li, A. J. Roberts
Models and simulations of the flow of thin films of fluids have many important applications in industrial and natural processes. We consider the motion of a thin layer of an incomp…
A Lubrication Model of Coating Flows over a Curved Substrate in Space
R. Valery Roy, A. J. Roberts, M. E. Simpson
Consider the three-dimensional flow of a viscous Newtonian fluid upon an abitrarily curved substrate when the fluid film is thin as occurs in many draining, coating and biological…
The Swift-Hohenberg Equation Requires Non-Local Modifications to Model Spatial Pattern Evolution of Physical Problems
A. J. Roberts
I argue that ``good'' mathematical models of spatio-temporal dynamics in two-dimensions require non-local operators in the nonlinear terms. Consequently, the often used Swift-Hohen…