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Matthew Smith

2011-12-07
15:00:00 - 17:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Many engineering and scientific applications employ the Shallow Water Equations to model real-life problems such as weather simulation, tsunami simulation and basic open channel flows. From a mathematical perspective, these equations are challenging due to their hyperbolic and low-dissipative nature – however, these properties allow us insight into the properties of numerical methods to these equations and, in turn, how these methods are applied to other equations (for example, the compressible Navier-stokes equations). This presentation will focus on the application of a classical Finite Volume Method to these equations, the mathematical foundation of the method and its extension to higher order accuracy. Following this, I will discuss how the classical method introduced can be manipulated (mathematically) to be more appropriate for application to high-performance computing using Graphics Processing Units (GPU). Finally, we will present a prototype application, being developed by the NCHC: an interactive hydraulics laboratory. These applications are geared towards replacing real (physical) laboratories in universities around Taiwan and are made possible due to the increased performance demonstrated using GPU.

For material related to this talk, please click here.