Patent ID: 7921001

Claim:
A method for simulating and analyzing viscoelastic fluid flow through, and ejection from, a channel, there being an interface between a first fluid and a second fluid, the method comprising: (i) performing finite difference analysis to solve, with reference to a quadrilateral grid, equations governing the viscoelastic flow of the first fluid and the second fluid through the channel; wherein (a) the equations governing the viscoelastic flow of the first fluid includes an azimuthal velocity term that describes an approximate description of the azimuthal flow of the first fluid; (b) the equations governing the viscoelastic flow include an approximation of the stress experienced by the first fluid being simulated; (c) the equations governing the viscoelastic flow include an advection term that includes the azimuthal velocity term; and (d) the finite difference analysis includes a second-order Godunov type upwind scheme that is used to update the advection terms over time; and (ii) updating, periodically during the simulation, a level set for the first and second fluids.