A Second-Order Accurate Conservative Front-Tracking Method in One Dimension

Authors:
Caroline Gatti-Bono;Phillip Colella;David Trebotich
Affiliations:
CSBono@lbl.gov and DPTrebotich@lbl.gov;pcolella@lbl.gov;-
Venue:
SIAM Journal on Scientific Computing
Year:
2010

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Abstract

This paper presents a conservative front-tracking method for shocks and contact discontinuities that is second-order accurate. It is based on a volume-of-fluid method that treats the moving front with concepts similar to those of an embedded-boundary method. Special care is taken in the centering of the data to ensure the right order of accuracy at the front, and a redistribution step guarantees conservation. A suite of test problems, for tracking both shocks and contact discontinuities, is presented that confirms that the method is second-order accurate.