Finite-volume solutions to hyperbolic PDEs (lecture 3), PASI 2013

by Dr Donna Calhoun, Department of Mathematics, Boise State University "Wave propagation algorithms in two dimensions, adaptive refinement and well-balancing" Part 3: Setting up the SWE in higher dimensions. Well-balanced schemes: in steady-state, the bathymetry source term should balance the remaining terms on the left hand side; but oscillations may occur because truncation errors do not cancel "nicely". Adaptive mesh refinement (AMR) as used in GeoClaw. Materials—Slides used in the presentations: http://www.bu.edu/pasi-tsunami/materials/ Presenter bio: http://www.bu.edu/pasi-tsunami/people/donna-calhoun/