The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Apr. 05, 2011
Filed:
Dec. 20, 2007
Jiun-der Yu, Sunnyvale, CA (US);
Jiun-Der Yu, Sunnyvale, CA (US);
Seiko Epson Corporation, Tokyo, JP;
Abstract
The present invention is directed towards systems and methods for simulating and analyzing viscoelastic fluid flow. The fluid flows through a channel and is ejected from a channel. The fluid has an interface between a first fluid and a second fluid. The method includes performing finite difference analysis and using a level set projection method to solve equations governing the viscoelastic flow of the fluids through the channel. The equations governing the viscoelastic flow include an azimuthal velocity term that is an approximate description of the azimuthal flow of the fluid. The equations governing the viscoelastic flow also include an approximation of the stress experienced by the fluids being simulated. The equations governing the viscoelastic flow include an advection term that includes an azimuthal velocity term. The finite difference analysis used to solve the governing equations includes a second-order Godunov type upwind scheme to update the advection terms over time. The level set for the first and second fluids is updated periodically during the simulation.