Session

14.09.2017     10:00–12:00

Title:
MS66
Recent advances on numerical methods for shallow water models • Part I
Type:
Ocean / estuarine / nearshore models
Room:

This minisymposium focuses on numerical methods for hyperbolic systems of conservation and balance laws used to model shallow water and related geophysical flows. Specific numerical difficulties different shallow water models have in common are due to the presence of (possibly singular) geometric source terms and/or nonconservative exchange terms. These may lead to the loss of hyperbolicity, nonlinear resonance, very complicated wave structures and, as a result, to appearance of spurious oscillations and slow convergence of numerical methods.Therefore development of highly accurate and efficient numerical methods for these systems is a very important and challenging task.

14.09.2017
10:00–12:00

Title:
MS66
Recent advances on numerical methods for shallow water models • Part I
Type:
Ocean / estuarine / nearshore models
Room:

This minisymposium focuses on numerical methods for hyperbolic systems of conservation and balance laws used to model shallow water and related geophysical flows. Specific numerical difficulties different shallow water models have in common are due to the presence of (possibly singular) geometric source terms and/or nonconservative exchange terms. These may lead to the loss of hyperbolicity, nonlinear resonance, very complicated wave structures and, as a result, to appearance of spurious oscillations and slow convergence of numerical methods.Therefore development of highly accurate and efficient numerical methods for these systems is a very important and challenging task.


10:00–10:20
O336 Well-balanced central-upwind schemes
Alexander Kurganov (Shenzhen, Guangdong/CN, New Orleans/US)


10:20–10:40
O337 Well-balanced methods for the Shallow Water equations in spherical coordinates: application to tsunami modeling
Sergio Ortega Acosta (Málaga/ES)


10:40–11:00
O338 Numerical simulations for erosion processes
Emmanuel Audusse (Villetaneuse/FR)


11:00–11:20
O339 A class of staggered schemes for the shallow water equations
Nicolas Therme (Nantes/FR)


11:20–11:40
O340 Shallow water solvers and the wet-dry front
Sebastian Noelle (Aachen/DE)