Authors / CoAuthors
Davies, G. | Roberts, S.
Abstract
The shallow water equations are widely used to model flood and tsunami flows, for example to develop inundation maps for hazard and risk assessments. Finite volume numerical methods are commonly used to derive approximate solutions to these problems, because of their potential to exactly conserve mass and momentum, and correctly simulate both smoothly and rapidly varying flows. However, there remain several common scenarios which often cause numerical difficulties. The occurrence of stationary water near complex wet-dry boundaries is a standard initial condition for tsunami applications. Many numerical methods will generate spurious waves in this situation, which can propagate into the flow domain and contaminate the solution. A related situation involves the simulation of run-off caused by direct rainfall inputs, which is often desirable for flood applications as an alternative to providing discharge inputs derived from rainfall-runoff models. Conserving mass and avoiding unrealistic 'spikes' in the simulated flow velocities can be challenging, particularly when the flow depth is much shallower than the elevation range of each mesh cell, as is practically unavoidable in large scale applications. Several techniques to robustly treat these situations have been implemented in variants of the ANUGA hydrodynamic model, and the performance of these is assessed in a range of ideal and practical examples.
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nonGeographicDataset
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75936
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Cnr Jerrabomberra Ave and Hindmarsh Dr GPO Box 378
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- External Publication
- Australian and New Zealand Standard Research Classification (ANZSRC)
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- Earth Sciences
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- Published_Internal
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2013-01-01T00:00:00
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