Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics

Section D: Frontier Flows

Chapter List

Chapter 14: Studies in Geophysics
Chapter 15: Using PPM to Model Turbulent Stellar Convection
Chapter 16: Complex Engineering Turbulent Flows
Chapter 17: Large-Scale Urban Simulations
Chapter 18: Outlook and Open Research Issues

Piotr K. Smolarkiewicz and Len G. Margolin

14.1 Introduction

Prediction of the Earth s climate and weather is difficult in large part because of the ubiquity of turbulence in the atmosphere and oceans. Geophysical flows evince fluid motions ranging from dissipation scales as small as a fraction of a millimeter to planetary scales of thousands of kilometers. The span in time scales (from a fraction of a second to many years) is equally large. Turbulence in the atmosphere and the oceans is generated by heating and by boundary stresses just as in engineering flows. However, geophysical flows are further complicated by planetary rotation and density temperature stratification, which lead to phenomena not commonly found in engineering applications. In particular, rotating stratified fluids can support a variety of inertia-gravity and planetary waves. When the amplitude of such a wave becomes sufficiently large (i.e., comparable to the wavelength), the wave can break, generating a localized burst of turbulence. If one could see the phenomena that occur internally in geophysical flows at any scale, one would be reminded of familiar pictures of white water in a mountain stream or of breaking surf on a beach. The multiphase thermodynamics of atmosphere and oceans due to ubiquity of water substance and salt, respectively adds complexity of its own.

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