Effect of a wavy wall on the single gyre Munk problem

摘要: Aspectral element shallowwater model with an adaptive triangular mesh is used to examine the effects of basin geometry on single gyre Munk problem. Specifically, we consider a circular shape, and without addition sinusoidal undulation in coastline. We are particularly interested how curviness coastline might effect well-known tendency solution ‘runaway’ as lateral viscous coefficient made small. Results were dependent boundary conditions.We both no slip three variants free condition: zero vorticity at coast, normal derivative tangential velocity flux momentum. For cases where coastal undulations large amplitude, third condition showed least towards runaway (i.e. developing unrealistically velocities was small). In geometry, by contrast, differences between much greater, slip, runaway.We also show that high-frequency variability (such Kelvin waves) can differ markedly depending which used.