Visualizer for Incompressible Schrödinger Flow

This paper is dedicated to computer visualization of an incompressible Schrödinger flow. In this work we present theoretical foundations of fluid modelling in hydrodynamics. In addition, several approaches to fluid simulation in computer graphics are introduced as well as their advantages and drawbacks. Besides, we prove the possibility of using Schrödinger equation (one of its modifications) and give the advantages of including it into a modification of one of the hydrodynamics modelling approaches. We also introduce an algorithm for the visualizer. Our visualizer works under Windows operating system and uses tools of OpenGL library for computing and visualizing flow, Armadillo library for matrix maths and Pez library for application window rendering. This paper contains 47 pages, 3 chapters, 22 illustrations, 23 bibliography items, 4 appendices. Keywords: fluid simulation, Eulerian approach, Lagrangian approach, incompressible fluids, Schrödinger equation