We study the dynamics of an initially axisymmetric and vertical Lamb–Oseen vortex in a stratified-rotating fluid under complete Coriolis force on $f$ plane, i.e. presence background rotation both along horizontal directions. By combination direct numerical simulations asymptotic analyses for small rotation, we show that critical layer appears at radius where angular velocity is equal to buoyanc...

About twenty years ago, V. P. Maslov [1] put forward the idea that numerous quasilinear hyperbolic systems have only finite number of singular solution in general position. These solutions are shock waves, “infinitely narrow” solitons and point singularities of the type of the square root of a quadratic form. He has also stated conjecture that such solutions for shallow water equation can descr...

This paper describes a method of procedural generation of meandering rivers inspired by erosion, which can enhance visual realism of virtual terrains. Terrain is represented using an adaptively subdivided triangle mesh with additional information (e.g. amount of soft deposit) stored in vertices. Water is simulated using Smoothed Particle Hydrodynamics (SPH), modified in order to model erosion o...