A Stratified Fluid in the Presence of a Moving Wall: Exact Solutions and their Stability

ORAL

Abstract

We present an exact solution for a moving wall in the presence of an unstable density stratification. We discuss the linear stability of the system through the analysis of the associated Orr-Somerfeld type eigenvalue problem. Time permitting, full simulations of the nonlinear system based on pseudospectral projection methods will be presented.

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Authors

  • Matthew Moore

    • University of North Carolina
    • University of North Carolina - Chapel Hill

  • Roberto Camassa

    • University of North Carolina, Chapel Hill
    • University of North Carolina - Chapel Hill

  • Richard McLaughlin

    • University of North Carolina, Chapel Hill
    • University of North Carolina - Chapel Hill

  • Sorin Mitran

    • University of North Carolina - Chapel Hill

  • Ashwin Vaidya

    • University of North Carolina, Chapel Hill
    • University of North Carolina
    • University of North Carolina - Chapel Hill

  • Longhua Zhao

    • University of North Carolina - Chapel Hill