Patent ID: 7251591

Claim:
A method for simulating and analyzing fluid flow through, and ejection from, a channel having a boundary between a first fluid that flows through the channel and a second fluid, the method comprising the steps of: (a) performing finite difference analysis including solving, with reference to both a quadrilateral grid in a physical space and a uniform square grid in a computational space, equations governing the flow of the first fluid through the channel, wherein the partial differential equations were first derived for the quadrilateral grid in the physical space and then transformed to the computational space for application on the uniform square grid, the performing of the finite difference analysis further including calculating a back pressure boundary condition with reference to the quadrilateral grid to overcome instability as a head of a droplet of the first fluid approaches the end of the solution domain; (b) simulating the flow of the first fluid through, and ejection from, the channel based on the performed finite difference analysis; and (c) storing the results of the simulation.