A finite volume scheme for simulation of rainwater harvesting process

Koichi Unami, Toshihiko Kawachi, Macarius Yangyuoru, Kei Ishida

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

1 Citation (Scopus)

Abstract

A finite volume scheme to numerically solve the twodimensional (2D) shallow water equations with source terms is presented. Innovative methods are developed for data reconstruction, flux splitting, evaluation of numerical fluxes, and treatment of source terms. Total variation diminishing (TVD) properties and monotonicity are established without using an approximate Riemann solver. The finite volume scheme is applied for numerical simulation of surface runoff phenomena in a watershed, which is the catchment area of a rainwater harvesting dam. The ground surface topography of the watershed is complex, and unsteady transcritical surface flow dominates the rainwater harvesting process. The simulation results demonstrate that the numerical model is excellent in terms of accuracy, robustness, efficiency, and applicability.

Original languageEnglish
Title of host publicationProceedings of the Second IASTED International Conference on Advanced Technology in the Environmental Field, ATEF 2006
Pages124-129
Number of pages6
Publication statusPublished - 2007
Event2nd IASTED International Conference on Advanced Technology in the Environmental Field, ATEF 2006 - Lanzarote, Canary Islands
Duration: 6 Feb 20068 Feb 2006

Publication series

NameProceedings of the Second IASTED International Conference on Advanced Technology in the Environmental Field, ATEF 2006

Conference

Conference2nd IASTED International Conference on Advanced Technology in the Environmental Field, ATEF 2006
Country/TerritorySpain
CityLanzarote, Canary Islands
Period6/02/068/02/06

Keywords

  • Finite volume scheme
  • Integrated water resources management
  • Rainwater harvesting
  • Shallow water equations

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