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Titlebook: Dispersive Shallow Water Waves; Theory, Modeling, an Gayaz Khakimzyanov,Denys Dutykh,Oleg Gusev Book 2020 Springer Nature Switzerland AG 20

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Numerical Simulation on a Globally Flat Space,sure is found by solving a nonlinear elliptic equation. Moreover, this form of governing equations allows to determine the natural form of boundary conditions to obtain a well-posed (numerical) problem.
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Model Derivation on a Globally Spherical Geometry,odel contains an additional velocity variable which has to be specified by a closure relation. Physically, it represents a dispersive correction to the velocity vector. So, the main outcome of this chapter should be rather considered as a whole family of long wave models.
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Model Derivation on a Globally Flat Space,KdV) equation, re-derived later by D. Korteweg and G. de Vries. Of course, J. Boussinesq proposed also the first .-type equation as a theoretical explanation of . observed earlier by J. Russell. After this initial active period there was a break in this field until 1950s. The silence was interrupted
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Numerical Simulation on a Globally Spherical Geometry, approach. Namely, equations are decomposed on a uniform elliptic equation for the dispersive pressure component and a hyperbolic part of shallow water equations (on a sphere) with source terms. This algorithm is implemented as a two-step predictor–corrector scheme. On every step we solve separately
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Lecture Notes in Geosystems Mathematics and Computinghttp://image.papertrans.cn/e/image/281525.jpg
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https://doi.org/10.1007/978-3-030-46267-3Nonlinear dispersive waves; Dispersive wave; Dispersive wave equation; Dispersive models; Water wave mod
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978-3-030-46266-6Springer Nature Switzerland AG 2020
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