Abstract
Steady, two-dimensional, two-layer flow over an arbitrary topography is considered. The fluid in each layer is assumed to be inviscid and incompressible and flows irrotationally. The interfacial surface is found using a boundary integral formulation, and the resulting integrodifferential equations are solved iteratively using Newton's method. A linear theory is presented for a given topography and the non-linear theory is compared against this to show how the non-linearity affects the problem.
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Belward, S.R., Forbes, L.K. Fully non-linear two-layer flow over arbitrary topography. J Eng Math 27, 419–432 (1993). https://doi.org/10.1007/BF00128764
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DOI: https://doi.org/10.1007/BF00128764