IGPP Seminar Series

Numerical simulation of internal waves in the coastal ocean

by Dr. Oliver Fringer
Stanford University

Abstract

In this presentation I will discuss some numerical techniques employed in a parallel Navier-Stokes code that is used to study the dynamics of internal waves in the coastal ocean. The code employs a numerical discretization of the Navier-Stokes equations with the Boussinesq approximation using a volume-conserving semi-implicit time discretization on an unstructured horizontal grid with layers in the vertical. Momentum is advected with a conservative Eulerian scheme for unstructured grids, and density is advected using a vertically-implicit scheme which guarantees mass conservation. The nonhydrostatic pressure and free surface are computed with a preconditioned conjugate gradient algorithm, and load balancing and grid-partitioning are managed with the ParMetis (Parallel Graph partitioning and Sparse Matrix Ordering) package. I will discuss results of simulations of the internal tidal wave field in Monterey Bay and present an analysis of the resulting energetics. Maps of the internal wave energy flux divergence indicate strong generation of internal waves to the south of the Monterey Bay submarine canyon, and the energy flux vectors indicate that this energy propagates northward and converges in the canyon where it ultimately dissipates.
Tuesday, 11 April 2006
3845 Slichter Hall
Refreshments at 3:45 PM
Lecture at 4:00 PM