Simple front tracking. (English) Zbl 0960.76058
Chen, Gui-Qiang (ed.) et al., Nonlinear partial differential equations. Proceedings of the international conference, Evanston, IL, USA, March 21-24, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 238, 133-149 (1999).
Summary: A new and simplified front tracking algorithm has been developed as an aspect of the extension of this algorithm to three dimensions. Here we emphasize two main results: (1) a simplified description of the microtopology of the interface, based on interface crossings with cell block edges, and (2) an improved algorithm for the interaction of a tracked contact discontinuity with an untracked schock wave. For the latter question, we focus on the postinteraction jump at the contact, which is a purely one-dimensional issue. Comparisons to other methods, including the level set method, are presented.
For the entire collection see [Zbl 0928.00034].
For the entire collection see [Zbl 0928.00034].
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 76E17 | Interfacial stability and instability in hydrodynamic stability |
