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An improved shallow water equation model for water animation

  • Beihang University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we proposed a new scheme for simulating water flows under shallow water assumption. The method is an extension of traditional shallow water equations. In contrast to traditional methods, we design a dynamic coordinate system for modeling in order to efficiently simulate water flows. Within this system, we derive our specialized shallow water equations directly from the Navier-Stockes equation. At the same time, we develop an implicit mechanism for solving the advection term and a vector projection operator for solving the external forces acting on water. We also present a two-way coupling method for simulating the interaction between water and rigid solid. The experimental results show that the proposed scheme can achieve a more realistic and accurate water model compared with the traditional methods, especially when the solid surfaces are too steep. Also we demonstrate the efficiency of our method in several scenes, all run at least 50 frames per second on average which allows real-time simulation.

Original languageEnglish
Title of host publicationAdvances in Materials, Machinery, Electronics I
Subtitle of host publicationProceedings of the International Conference on Advances in Materials, Machinery, Electronics, AMME 2017
EditorsCan Yang, Lin Liu, Jianfeng Ke
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414884
DOIs
StatePublished - 13 Mar 2017
Event1st International Conference on Advances in Materials, Machinery, Electronics, AMME 2017 - Wuhan, China
Duration: 25 Feb 201726 Feb 2017

Publication series

NameAIP Conference Proceedings
Volume1820
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference1st International Conference on Advances in Materials, Machinery, Electronics, AMME 2017
Country/TerritoryChina
CityWuhan
Period25/02/1726/02/17

Keywords

  • Dynamic coordinate system
  • Implicit advection solver
  • Two-way coupling
  • Vector projection operator

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