Boulder dislodgement and transport by solitary waves: Insights from three‐dimensional numerical simulations

Mass Transport by Second Mode Internal Solitary Waves

The overall scientific objective of the proposed effort is to improve our understanding of the propagation and mass transport of internal solitary waves (ISW), particularly mode-2 ISW, and their significance for coastal ocean processes. In recent years numerous observations of mode-2 ISW have been reported so that it appears that such waveforms may be more prevalent than previously thought. Lar...

Origins of barchan dune asymmetry: Insights from numerical simulations

Barchan dunes — crescent-shaped dunes that form in areas of unidirectional winds and low sand availability — commonly display an asymmetric shape, with one limb extended downwind. Several factors have been identified as potential causes for barchan dune asymmetry on Earth and Mars: asymmetric bimodal wind regime, topography, influx asymmetry and dune collision. However, the dynamics and potenti...

numerical simulations of spilling breaking waves

Numerical Computation of Solitary Waves on In niteCylindersGabriel

The numerical computation of solitary waves to semilinear elliptic equations in innnite cylinders is investigated. Rather than solving on the innnite cylinder, the equation is approximated by a boundary-value problem on a nite cylinder. Convergence and stability results for this algorithm are given. In addition, it is shown that Galerkin approximations can be used to calculate solitary waves fo...

Numerical approximation of solitary waves of the Benjamin equation

This paper presents several numerical techniques to generate solitary-wave profiles of the Benjamin equation. The formulation and implementation of the methods focus on the approximation of the nonlocal term and the use of numerical continuation algorithms. For solving the attendant nonlinear systems, a comparative study of the performance of such algorithms is made. The paper also explores the...