Mass Conservation In Shallow Water Storm Surge Computations

Storm surge computations involve both an applied pressure field and a strong wind stress loading. The shallow water equation are commonly used for tidal simulations and have been thoroughly investigated for this type of loading. The storm surge computations on the other hand, have not been as extens...

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Bibliographic Details
Published in:WIT Transactions on Ecology and the Environment 1998-01, Vol.24
Main Author: Laible, Jeffrey P
Format: Article
Language:English
Subjects:
Computer simulation
Conservation
Formulations
Hurricanes
Primitive equations
Shallow water
Shallow water equations
Storm surges
Storms
Tidal waves
Water conservation
Water purification
Wave equations
Wind stress
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Summary:Storm surge computations involve both an applied pressure field and a strong wind stress loading. The shallow water equation are commonly used for tidal simulations and have been thoroughly investigated for this type of loading. The storm surge computations on the other hand, have not been as extensively investigated. In this paper we examine the behavior of both the primitive and wave equation form of the shallow water equations and observe some deficiencies in mass conservation. Using a filtered primitive equation formulation and an extended derivative operator, improved solutions can be obtained. 1 Introduction The solution of the shallow water equations for tidal simulations has been successfully accomplished by formulations based on both the primitiv
ISSN:1746-448X
1743-3541
DOI:10.2495/CMWR980492