Gas-dynamic analogy in the theory of stratified liquid flows with a free boundary |
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| Authors: | V. M. Teshukov |
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| Abstract: | Novel approximate mathematical models of long-wave theory describing flows of a density-stratified liquid with a free boundary are proposed. It is shown that in certain cases the equations of the novel models coincide with either the equations of nonisentropic gas dynamics with a polytropic equation of state for γ = 2 or the equations describing the dynamics of a mixture of two perfect gases. |
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| Keywords: | long-wave approximation stratified fluid shear flow free boundary shallow water gasdynamic analogy |
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