Coupling of Navier-Stokes Equations and Their Hydrostatic Versions for Ocean Flows: A Discussion on Algorithm and Implementation

Abstract

Now it is necessary to advance our capabilities to direct simulation of many emerging problems of coastal ocean flows. Two examples of such flow problems are the 2010 Gulf of Mexico oil spill and the 2011 Japan tsunami. The two examples come from different backgrounds, however, they present a same challenge to our modeling capacity; the both examples involve distinct types of physical phenomena at vastly different scales, and they are multiscale and multiphysics flows in nature.