English

Exact solution describing a shallow water flow in an extending stripe

Fluid Dynamics 2010-08-05 v1 Mathematical Physics math.MP

Abstract

Partially invariant solution to (2+1)D shallow water equation is constructed and investigated. The solution describes an extension of a stripe, bounded by linear source and drain of fluid. Realizations of smooth flow and of hydraulic jump are possible. Particle trajectories and sonic characteristics on the obtained solution are calculated.

Keywords

Cite

@article{arxiv.0802.4134,
  title  = {Exact solution describing a shallow water flow in an extending stripe},
  author = {Sergey V. Golovin},
  journal= {arXiv preprint arXiv:0802.4134},
  year   = {2010}
}

Comments

9 pages, 5 figures

R2 v1 2026-06-21T10:16:39.961Z