Maths

Math Formula?

Chủ Nhật, 18 tháng 3, 2012

Buổi nói chuyện của Giáo sư Randall J. LeVeque


Buổi nói chuyện của Giáo sư Randall J. LeVeque
Giáo sư Randall J. LeVeque, Đại học Washington là một chuyên gia trong lĩnh vực tính toán nâng cao.
Giáo sư sẽ có buổi nói chuyện vào lúc 9 giờ sáng thứ Tư, 21/03/2012 tại phòng F207.
Kính mời sinh viên, học viên cao học, nghiên cứu sinh và những ai quan tâm đến tham dự.
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The GeoClaw Software for Tsunamis and Other Hazardous Flows
 Randall J. LeVeque
Applied Mathematics Department
University of Washington

Many geophysical flows over topography can be
modeled by two-dimensional depth-averaged fluid
dynamics equations.  The shallow water equations
are the simplest example of this type, and are
often sufficiently accurate for simulating tsunamis
and other large-scale flows.

These partial differential equations are hyperbolic
and can be modeled using high-resolution finite
volume methods. However, several features of these
flows lead to new algorithmic challenges, such as the
fact that the depth goes to zero at the edge of the
flow and that vastly differing spatial scales must
often be modeled, making adaptive mesh refinement
essential. I will discuss some of these algorithms
and the GeoClaw software, a specialized version of
Clawpack that is aimed at solving real-world
geophysical flow problems over topography.

I'll show results of some recent benchmarking studies
and from efforts to compare proposed earthquake
mechanisms for the 11 March 2011 Great Tohoku Tsunami.