METHOD AND DEVICE FOR SIMULATING AND ANALYZING VISCOELASTIC FLUID FLOWING THROUGH AND EJECTING FROM CHANNEL HAVING BOUNDARY BETWEEN FIRST FLUID FLOWING THROUGH CHANNEL AND SECOND FLUID, AND MEDIUM OR WAVEFORM CONTAINING SET OF INSTRUCTIONS FOR DIRECTING SIMULATION AND ANALYSIS TO INSTRUCTION-EXECUTING DEVICE

摘要

PROBLEM TO BE SOLVED: To provide coupled algorithms for viscoelastic ink ejection simulations. SOLUTION: Two finite difference algorithms are provided for viscoelastic ink ejection simulations. The first algorithm is first-order accurate in time, while the second algorithm is second-order accurate in time. Each of these two algorithms seamlessly couples or incorporates several features: (1) a coupled level set-projection method for incompressible immiscible two-phase fluid flows; (2) a higher-order Godunov type algorithm for the convection terms in the momentum equations and level set convection equation; (3) the central difference for viscosity, surface tension, and upper-convected derivative terms; (4) an equivalent circuit for inflow pressure (or inflow rate). In the first algorithm, a simple first-order upwind algorithm is designed for the convection term in the viscoelastic stress equations. But in the second algorithm, a second-order Godunov type upwind scheme is employed for the convection term in the viscoelastic stress equations. COPYRIGHT: (C)2007,JPO&INPIT