17 citations · 42 across the 4 of their papers we have counts for
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physics.comp-ph2017★ 17 cited
Dispersive shallow water wave modelling. Part IV: Numerical simulation on a globally spherical geometry
Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev
In the present manuscript, we consider the problem of dispersive wave simulation on a rotating globally spherical geometry. In this Part IV, we focus on numerical aspects while the…
physics.flu-dyn2017★ 12 cited
Dispersive shallow water wave modelling. Part II: Numerical simulation on a globally flat space
Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev +1
In this paper, we describe a numerical method to solve numerically the weakly dispersive fully nonlinear Serre-Green-Naghdi (SGN) celebrated model. Namely, our scheme is based on r…