Atmosphere–Ocean Modeling Exploiting Fluid Isomorphisms

John Marshall Program in Atmospheres, Oceans and Climate, Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts

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Alistair Adcroft Program in Atmospheres, Oceans and Climate, Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts

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Jean-Michel Campin Program in Atmospheres, Oceans and Climate, Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts

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Chris Hill Program in Atmospheres, Oceans and Climate, Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts

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Andy White Met Office, Bracknell, United Kingdom

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Abstract

Mathematical isomorphisms between the hydrostatic equations that govern the evolution of a compressible atmosphere and an incompressible ocean are described and exploited to guide the design of a hydrodynamical kernel for simulation of either fluid.

Corresponding author address: Dr. John Marshall, 77 Massachusetts Avenue, Room 54-1526, Cambridge, MA 02139-4307. Email: marshall@gulf.mit.edu

Abstract

Mathematical isomorphisms between the hydrostatic equations that govern the evolution of a compressible atmosphere and an incompressible ocean are described and exploited to guide the design of a hydrodynamical kernel for simulation of either fluid.

Corresponding author address: Dr. John Marshall, 77 Massachusetts Avenue, Room 54-1526, Cambridge, MA 02139-4307. Email: marshall@gulf.mit.edu

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