INCOMPRESSIBLE MODELS AND LOW MACH NUMBER EXPANSIONS FOR SHALLOW WATERS

VLADU Gabriel; GHERGHINA Aurel
4/1/2010
Marine sciences and engineering;
Renewable energies; Marine renewable energies and Sustenability; Advanced
technologies for MET; Climate changes

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Abstract
An asymptotic analysis starting from the Navies-Stokes equation derived for a compressible ideal gas shows that there is a lack of consistency between compressible models and ‘incompressible’ sub-models, in the presence of heat conduction. The paper presents three mathematical formulations of the governing equations and restricts our attention to the twodimensional case.
Keywords
low Mach number; incompressibility
VLADU Gabriel;
Research Center for Navy, Romania;
GHERGHINA Aurel
Military Staff, Romania