Modeling Shallow Water Flows Using the Discontinuous Galerkin Method

ISBN-13: 9781138076464 / Angielski / Miękka / 2017 / 215 str.

Khan, Abdul A.|||Lai, Wencong (University of Wyoming, Laramie)

Opis

This book introduces the discontinuous Galerkin (DG) method and its application to shallow water flows. The emphasis is to show details and modifications required to apply the scheme to real-world flow problems. It allows the readers to understand and develop robust and efficient computer simulation models that can be used to model flow, contaminant transport, and other factors in rivers and coastal environments. The book includes a large set of tests to illustrate the use of the model for a wide range of applications.

Spis treści

Introduction. General formulation of the discontinuous Galerkin method. Discontinuous Galerkin method for one-dimensional nonconservative equations. One-dimensional conservation laws. One-dimensional shallow water flow in nonrectangular channels. Two-dimensional conservation laws. Two-dimensional shallow water flow in channels with horizontal beds. Two-dimensional shallow water flow in channels with bed variations. Pollutant transport. Concluding remarks. References. Index.