The Models of Two Layer Shallow Water Flows with Incline and Uneven Bottom

EasyChair Preprint no. 2117

Abstract

The shallow water equations describe a thin layer of constant density fluid in hydrostatic balance, rotating or not, bounded from below by bottom topography and from above by a free surface. We construct the model of two layers shallow water flow with incline and uneven bottom. The governing equation of each layer consists of mass continuity, momentum equations, and the boundary conditions. The flat bottom topography typically chosen as b a constant variable such that the average of b is zero, and the uneven bottom topography typically chosen as function of space b(x). The layers of the model are determined by the density of the fluid. The first layer is water exposed to sunlight which the temperature is higher than the second layer bellow it. The difference of density between the first and the second layer results in difference of gravity force which in the second layer we use reduced gravity force (gravity force decreases due to density ratio).

Keyphrases: incline bottom, shallow water model, two-layer, uneven bottom

@Booklet{EasyChair:2117,
  author = {Ismi Rizqa Lina and Ummu Habibah and Wuryansari Muharini Kusumawinahyu},
  title = {The Models of Two Layer Shallow Water Flows with Incline and Uneven Bottom},
  howpublished = {EasyChair Preprint no. 2117},

  year = {EasyChair, 2019}}