|Date:||Wed, November 7, 2018|
|Place:||Research I Seminar Room|
Abstract: The optimal balance algorithm is a method introduced in a finite dimensional Hamiltonian system, which employs two different time scales. The main idea of the scheme is to ramp the nonlinear terms in the system to build a smooth projection between linear and nonlinear types of the same problem. The ramped system is solved over an artificial time as a boundary value problem by nudging partial boundary conditions. This projection helps to put imbalance in the system gradually and at the end of this numerical scheme, fast and slow dynamics of the system are splitted.
Now, we use this scheme in a infinite dimensional system, namely the shallow water model. By this procdecure, we separate slow dynamics, which are Rossby waves, from fast dynamics, which are gravity waves. This splitting has an important aspect in ocean dynamics to understand energy transfer.