Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Date/Time: 
Friday, November 7, 2014 - 12:00 to 13:00
Location: 
GLK 115

Speaker Info

Local Speaker: 
Abstract: 

Newton's third law of motion says, basically, that if you push on me then I push back automatically, even if I do not want to.  Fulfilling this condition can be a problem when a discontinuous Galerkin numerical method is applied to a layered model of ocean circulation.  The dependent variables can be discontinuous across cell edges, and in particular the one-sided limits of the pressure forcing at an edge need not be equal.  One way to define values of the solution at a cell edge is to employ a Riemann problem, in which the dynamics of the PDE are used to interpolate between two states.  However, in a model with many layers a Riemann problem could be highly complicated.  A much more manageable alternative developed here is to use ideas related to barotropic-baroclinic time splitting to reduce the Riemann problem to a simpler system of lower spatial dimension.  This approach is tested in a model problem involving geostrophic adjustment, which is an important process in geophysical fluid flows.