Well balanced scheme between flux and source terms for the computation of shallow-water equstions

Dae Hong Kim, Woo Gu Kim, Yong Sik Cho

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

Abstract

A simple and robust computational scheme for the analysis of shallow water equations with source terms is proposed. The shallow equations solved by approximate Riemann solvers are good for the analysis of subcritical, supercritical, continuous and discontinuous flows. Moreover, various robust numerical techniques including the numerical scheme for the Euler equations can be exploited. However, the merits are limited to only idealized cases because the numerical unbalance between the flux terms and source terms. Thus, a revised surface gradient method is developed considering the balance between flux and source terms. The MUSCL-Hancock scheme and HLLC approximate Riemann solver were used for developing the numerical model. Several cases including steady transcritical flows and unsteady dam break flows on wet and dry bed were tested. Very good agreements were observed.

Original languageEnglish
Title of host publication31st IAHR Congress 2005
Subtitle of host publicationWater Engineering for the Future, Choices and Challenges
EditorsJun Byong-Ho, Il Lee Sang, Seo Il Won, Choi Gye-Woon
PublisherKorea Water Resources Association
Pages5544-5551
Number of pages8
ISBN (Electronic)8987898245, 9788987898247
StatePublished - 2005
Event31st IAHR Congress 2005: Water Engineering for the Future, Choices and Challenges - Seoul, Korea, Republic of
Duration: 11 Sep 200516 Sep 2005

Publication series

Name31st IAHR Congress 2005: Water Engineering for the Future, Choices and Challenges

Conference

Conference31st IAHR Congress 2005: Water Engineering for the Future, Choices and Challenges
Country/TerritoryKorea, Republic of
CitySeoul
Period11/09/0516/09/05

Keywords

  • Finite volume method
  • HLLC approximate Riemann solver
  • MUSCL scheme
  • Shallow water equations
  • Source terms
  • Surface gradient method

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