Development and application of a parallel multigrid solver for the simulation of spreading droplets

摘要: We consider the parallel application of an efficient solver developed for accurate solution a range droplet spreading flows modelled as a coupled set nonlinear lubrication equations. The underlying numerical scheme is based upon second order finite difference discretization in space and order, fully implicit, adaptive time. At each time step this leads to need to solve large system algebraic equations, which full approximation storage (FAS) multigrid algorithm employed. The motion contact line between three phases (liquid, air and solid substrate) assumption thin precursor film, with a corresponding disjoining pressure term governing It inclusion precursor film model that motivates need method. This because thickness of such film must be very small yield realistic predictions whilst grid must correspondingly fine obtain solutions. Results are presented which demonstrate implementation sufficiently robust allow reliable numerical solutions obtained level mesh resolution magnitude finer than possible using single processor. Copyright c 2007 John Wiley & Sons, Ltd.