内部重力波の傾斜板からの粘性反射 (非線形波動現象の数理とその応用)

Abstract

We study the effect of viscosity on the 2D reflection of internal gravity wave beams when the Reynolds number is large (Re>>1). Specifically we make an asymptotic analysis for Re>>1 to derive a reduced equation describing reflection of wave beam from a sloping boundary. The key is to assume that the beam inclination angle 0 and the slope angle a are close to each other so that a reflected beam propagates inside the boundary layer along the slope. Solution of the derived equation agrees well with the corresponding NS solution for Re>>1.