A Runge – Kutta discontinuous Galerkin conservative level set method
نویسنده
چکیده
We present a Runge-Kutta discontinous Galerkin (RKDG) method to solve the level set advection equation arising in the conservative level set method. We show results obtained using the method of manufactured solutions demonstrating k + 1 order accuracy for k-th order Legendre polynomial basis functions. The RKDG conservative level set method yields superior results compared to standard finite difference approaches of solving the level set equation in a number of different standard test cases, including the solid body rotation of a notched disk and the deformation of a circle respective sphere in deformation fields. To calculate the curvature of a level set iso-surface from the discontinuous level set solution, we present a scheme that is of order k − 1.
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