Prof. Francis X. Giraldo
Department of Applied Mathematics, Naval Postgraduate
School, Monterey California USA
High-Order Continuous (CG) and Discontinuous Galerkin (DG) Semi-Implicit
Methods for the Solution of the Euler and Shallow Water Equations
Abstract:
In this talk, I will describe the numerical methods that we have been
developing for solving, primarily, hyperbolic equations. These methods are
high-order accurate, local in nature, and have some very nice properties such
as local conservation and high parallel efficiency. In order to consider using
these methods for large-scale applications such as in an operational-like
setting requires the introduction of implicit time-integrators. In this talk,
I will describe how semi-implicit time-integrators can be combined with
high-order CG and DG methods. To simplify the discussion we shall concentrate
on the 2D Euler and shallow water equations. In addition, I will also discuss
a new approximation on the triangle that we have developed which, we think,
will offer much more efficiency to numerical models based on either CG or DG
methods; unfortunately, up to now, we have only been able to construct such
approximations for polynomial degrees <= 7.
| Datum: | | 09.02.2007 |
Zeit: | | 14.15 |
Ort: | | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. |
Raum: | | 032 im Erdgeschoss |
