Implicit and fourth-order accurate semi-Lagrangian contouring for geometric moving interface problems.

摘要

Two efficient algorithms for solving geometric moving interface problems are presented. Each solver takes an arbitrary interface velocity function as input, and can solve a wide array of problems in the sciences. The first solver combines explicit time stepping with accurate contouring. Numerical tests in non-stiff moving interface problems demonstrate fourth-order spatial accuracy. The second solver implicitly solves for velocity and interface position. Numerical tests on stiff moving interface problems demonstrate its stability.