Blar i Bergen Open Research Archive på forfatter "Senthilkumar, Amutha"
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Boundary-value problems and shoaling analysis for the BBM equation
Senthilkumar, Amutha (Master thesis, 2012-02-20)In this thesis we study the BBM equation u_t+u_x+ \frac{3}{2}uu_x - \frac{1}{6} u_{xxt}= 0 which describes approximately the two-dimensional propagation of surface waves in a uniform horizontal channel containing an ... -
Derivation of Boussinesq's shoaling law using a coupled BBM system
Kalisch, Henrik; Senthilkumar, Amutha (Peer reviewed; Journal article, 2013-03-14)This paper is focused on finding rules for waveheight change in a solitary wave as it runs up a slowly increasing bottom. A coupled BBM system is used to describe the solitary waves. Expressions for energy density and ... -
On the influence of wave reflection on shoaling and breaking solitary Waves
Senthilkumar, Amutha (Peer reviewed; Journal article, 2016)A coupled BBM system of equations is studied in the situation of water waves propagating over a decreasing fluid depth. A conservation equation for mass and also a wave breaking criterion, both valid in the Boussinesq ... -
On the Relation between Surface Profiles and Internal Flow Properties in Long-Wave Models
Senthilkumar, Amutha (Doctoral thesis, 2017-03-10)In this work, we investigate the internal velocity field in a number of Boussinesq models in non-uniform situations. A coupled BBM-BBM type system of equations is derived in the assumption of water wave propagating over ...