Dual integral porosity shallow water model for urban flood modelling

作者: Vincent Guinot , Brett F. Sanders , Jochen E. Schubert

DOI: 10.1016/J.ADVWATRES.2017.02.009

关键词: MechanicsScale (ratio)DissipationGeotechnical engineeringWave propagationPorosityMomentumShallow water equationsGeologyWind waveFlow (mathematics)

摘要: With CPU times 2 to 3 orders of magnitude smaller than classical shallow water-based models , the water equations with porosity are a promising tool for large-scale modelling urban floods. In this paper, new model formulation called Dual Integral Porosity (DIP) is presented and examined analytically computationally series benchmark tests. The DIP established from an integral mass momentum balance whereby both flow variables defined separately control volumes boundaries, closure scheme introduced link volume-and boundary-based variables. Previously developed (IP) were limited single set A transient dissipation also account effects sub-grid scale wave action on solutions, which validated by fine-grid solutions shallow-water shown be important achieving self-similarity in dam-break solutions. One-dimensional numerical test cases show that proposed outperforms IP model, signicantly improved propagation speeds, depths discharge calculations. two-dimensional field case shows performs better mapping floods extent slightly reproducing anisotropy when parameters calibrated.

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