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Is a single layer sigma-coordinate equation, mathematically equivalent to 2D-SWE?

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Old   August 13, 2015, 23:10
Post Is a single layer sigma-coordinate equation, mathematically equivalent to 2D-SWE?
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Nima Jedari Attari
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Hi
I have a mathematical question.

Is a single layer system using sigma-coordinate equation, mathematically equivalent to 2D-Shallow Water Equation?

IF the answer is yes, then can someone tell me how exactly these equations can interchange? (I mean a mathematical proof) or recommend me a relevant link to find my answer there?

Thanks in advance.
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2-d, equivalent mathematically, shallow water equations, sigma-coordinate, single layer


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