5 citations · 7 across the 3 of their papers we have counts for
3 papers
math-ph2025★ 2 cited
Solitary wave-mean flow interaction in strongly nonlineardispersive shallow water waves
Thibault Congy, Gennady El, Sergey Gavrilyuk +2
The interaction of a solitary wave and a slowly varying mean background or flow for the Serre-Green-Naghdi (SGN) equations is studied using Whitham modulation theory. The exact for…
math-ph2019
Hyperbolicity of the modulation equations for the Serre-Green-Naghdi model
Sergey Tkachenko, Sergey Gavrilyuk, Keh-Ming Shyue
Serre-Green-Naghdi equations (SGN equations) is the most simple dispersive model of long water waves having "good" mathematical and physical properties. First, the model is a mathe…
physics.comp-ph2017★ 5 cited
Implementation of BVD (boundary variation diminishing) algorithm in simulations of compressible multiphase flows
Xi Deng, Satoshi Inaba, Bin Xie +2
We present in this work a new reconstruction scheme, so-called MUSCL-THINC-BVD scheme, to solve the five-equation model for interfacial two phase flows. This scheme employs the tra…