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.
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