Spectral Theory of Advective Diffusion in the Ocean

We have employed spectral methods as well as direct simulations of the advection-diffusion equation to calculate the effective diffusivity for model flows. By calculating the eigenvalues and eigenvectors of a random matrix depending only on the fluid velocity field, we obtain the spectral measures u...

Full description

Bibliographic Details
Main Authors: Golden, Kenneth M, Zhu, Jingyi, Murphy, N B
Other Authors: UTAH UNIV SALT LAKE CITY OFFICE OF SPONSORED PROJECTS
Format: Text
Language:English
Published: 2013
Subjects:
Physical and Dynamic Oceanography
*ADVECTION
DIFFUSION
DIFFUSIVITY
MATHEMATICAL MODELS
SEA ICE
THERMAL CONDUCTIVITY
TRANSPORT PROPERTIES
ADVECTION DIFFUSION EQUATION
Antarctic
Antarc*
Sea ice
Online Access:http://www.dtic.mil/docs/citations/ADA593131
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA593131
Description
Summary:We have employed spectral methods as well as direct simulations of the advection-diffusion equation to calculate the effective diffusivity for model flows. By calculating the eigenvalues and eigenvectors of a random matrix depending only on the fluid velocity field, we obtain the spectral measures used in Stieltjes integral representations for the effective diffusivity. The enhancement of thermal transport through sea ice by brine advection was also modeled using the advection-diffusion equation. Moreover, an inverse problem was formulated to study this enhancement of sea ice thermal conductivity and better understand temperature data collected during a 2007 Antarctic expedition.

Similar Items