Research on a Numerical Schemes for Capturing Free Front during Injection Molding

Abstract

In order to capture the free front in injection molding filling precisely, the numerical method is studied for the H-J (Hamilton Jacobi) equations. The central WENO (Weighted Essentially Non-Oscillatory) scheme for the level set equations, the third-order central WENO scheme in space respectively and the third-order TVD R-K (Total Variation Diminishing Runge–Kutta) scheme in time, are used for capturing the melt flow front in injection molding filling. The numerical results show the high-order WENO scheme can capture discontinuity precisely and the melt flow front can be captured precisely using this kind of numerical method during the injection molding filling.

Keywords:

• Capture
• Central weighted essentially non-oscillatory scheme
• Hele-Shaw model
• Level set method

ACKNOWLEDGMENTS

This work is supported by National Natural Science Foundation of China (10590353), and subsidized by 973 Program (2005CB321704).