论文信息 - On the hyperbolicity of two- and three-layer shallow water equations

On the hyperbolicity of two- and three-layer shallow water equations

The two-layer shallow water system looses hyperbolicity if the magnitude of the shear velocity is above a certain threshold, essentially determined by the density difference between the two layers. Introducing an additional third layer might recover hyperbolicity in regions of strong shear. We demonstrate that this adaptive two/three-layer approach can cure some of the shortcomings of the two-layer model.

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