Finite-Element Solutions of Free-Interface Density Currents

Qin Xu Cooperative Institute for Mesoscale Meteorological Studies, University of Oklahoma/NOAA, Norman, Oklahoma

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Fu-Shen Zhang Cooperative Institute for Mesoscale Meteorological Studies, University of Oklahoma/NOAA, Norman, Oklahoma

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Guang-Ping Lou Cooperative Institute for Mesoscale Meteorological Studies, University of Oklahoma/NOAA, Norman, Oklahoma

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Abstract

An interface-adaptive finite-element iteration scheme is designed to solve for the free interface of an inviscid steady-state density current. The method is also applied to free-surface flows over finite obstacles, but convergent solutions are obtained only for the supercritical flows. The success and failure of the method are discussed in association with the flow properties.

Abstract

An interface-adaptive finite-element iteration scheme is designed to solve for the free interface of an inviscid steady-state density current. The method is also applied to free-surface flows over finite obstacles, but convergent solutions are obtained only for the supercritical flows. The success and failure of the method are discussed in association with the flow properties.

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