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Title: Advective effects in the numerical simulation of long period, large amplitude wave behavior
Authors: United States. Assistant Secretary of the Army (R & D)
Butler, H. Lee.
Keywords: Advection
Computer simulation
Computer programs
Mathematical models
Numerical models
Water wave periods
Publisher: Hydraulics Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Miscellaneous paper (U.S. Army Engineer Waterways Experiment Station) ; HL-81-4.
Description: Miscellaneous Paper
Abstract: Numerical modeling of water-wave behavior has progressed rapidly in the last decade and is now generally recognized as a useful tool capable of providing solutions to many coastal problems. The U.S. Army, through various agencies, has sponsored development of two-dimensional numerical models for simulating long period wave behavior. Many of these models have included the advective terms in their formulation. Demonstrated in numerous papers throughout the literature, inclusion of advective effects can lead to instabilities in the solution. This fact was exemplified in the work of Sloss (1972) in his attempt to include these effects in storm surge simulation. The primary objective of this investigation was the assessment of the role of advective terms in the numerical simulation of long period, large amplitude wave behavior. A major effort in accomplishing this objective was the development of an appropriate representation of the non-linear terms in the difference equations of motion. To this end, a stabilizing correction, double sweep implicit scheme was encoded into an existing and extensively used hydrodynamic model, WIFM. The scheme manifested a high degree of stability in various numerical flume tests. In previous applications WIFM was used strictly as an inland flooding model. Efforts within this research investigation as well as concurrent studies permitted extension of WIFM to include continental shelf simulation. Comparisons with a recognized open coast surge model were made, and results indicated WIFM is appropriate for treating the global problem (shelf dynamics and coastal flooding) in a single grid. Simulations for the Louisiana coastline under storm attack by Hurricane Betsy were made with and without including the non-linear terms' effect. Results showed that non-linear term effect on surface elevation was minimal but more noticeable at the coast near landfall. Effect on current patterns was more pronounced. Further testing is recommended in future U.S. Army surge investigations.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Miscellaneous Paper

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