| Abstract: | A layered
three-dimensional nonlinear numerical model was constructed to simulate the generation and
propagation of internal tides over the continental slope. The simulation was split into
external mode computation (EMC) and internal mode computation (IMC) to minimize the
computational load. IMC was carried out once after EMC was implemented N times. As to EMC,
a semi-implicit numerical scheme was applied in such a way that the pressure gradient
terms and the velocity divergence terms were discretized semi-implicitly, but the other
terms were discretized explicitly. Eulerian-Lagrangian explicit discretization was applied
to the convective terms simultaneously. As a result, the stability of EMC did not depend
on the wave celerity and time step was not limited by the CFL condition. More than that,
use of the conjugate gradient accelerated Jacobi method further improved the computational
efficiency of the model. |
