Workshops > Modeling and Computations of Shallow-Water Coastal Flows

Modeling and Computations of Shallow-Water Coastal Flows


Central schemes for shallow water flows along channels with irregular geometry

Jorge Balbas

California State University, Northridge

Abstract:  

We present a new semi-discrete central scheme for shallow water flows along channels with arbitrary geometry and bottom topography. The scheme preserves the positivity of the water height, and it preserves steady-states of rest (i.e., it is well balanced). Along with a detailed description of the scheme, we present a numerical examples to assess its well balance property. Comparison with exact solutions illustrate the accuracy and robustness of the numerical algorithm.