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Fourth-order and implicit semi-Lagrangian contouring for geometric moving interface problems

PDE and Applied Math Seminar

Speaker: Ian Sammis, UC Davis
Location: 1147 MSB
Start time: Tue, Mar 9 2010, 4:10PM

Semi-Lagrangian contouring provides a single algorithm applicable to a wide variety of moving interface problems. The original semi-Lagrangian solver could attack a wide range of problems, but was limited by piecewise-linear contouring and by an explicit solver for time stepping. We modify the algorithm to address both issues--to improve the contouring to fourth-order accuracy, and to allow implicit time stepping for stiff problems.