Courses / ActivitiesHigh resolution shallow water simulations using Graphics Processing Units (GPU)
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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.
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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.
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