Spectral Theory of Advective Diffusion in the Ocean

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 19, 2013
Accession Number
ADA593131

Entities

People

  • Jingyi Zhu
  • Kenneth M. Golden
  • N. B. Murphy

Organizations

  • University of Utah

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Advection
  • Conductivity
  • Diffusion
  • Diffusivity
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Fluids
  • Functional Analysis
  • Ice
  • Integrals
  • Inverse Problems
  • Sea Ice
  • Shear Flow
  • Stratified Fluids
  • Thermal Conductivity
  • Transport Ships

Readers

  • Linear Algebra
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Polar and Arctic Studies