Patent Document ID: 8014986
Application ID: 12476588
Patent Flag: 1

Claim One:
1. A computer-readable medium encoded with instructions for a processor to perform a method for simulating a final pattern of a droplet of a fluid, comprising: instructions for using lubrication equations that describe behavior of the droplet on a non-flat substrate; instructions for using the lubrication equations to represent diffusion in the droplet and evaporation of the droplet; instructions for solving the lubrication equations through temporal discretization and spatial discretization; instructions for deriving the final pattern of the droplet from results from solving the lubrication equations; and instructions for storing the final pattern, wherein evaporation in the droplet is calculated using a first high order differential function that is representative of the behavior of a height of the droplet over time, wherein a first function is equated to a second function, the first function being representative of a temporal derivative of a height (H) of the droplet above a plane, and the second function including a first term that is a function of the height (H-f) of the droplet above the substrate (f); and a Laplacian of the height (∇ 2 H) of the droplet above the plane.