气候变化领域集成服务门户(CCPortal): On integral and differential porosity models for urban flooding simulation

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DOI	10.1016/j.advwatres.2019.103455
	On integral and differential porosity models for urban flooding simulation
	Varra G.; Pepe V.; Cimorelli L.; Della Morte R.; Cozzolino L.
发表日期	2020
ISSN	0309-1708
卷号	136
英文摘要	A novel differential porosity model for urban flooding, namely the Binary Single Porosity model (BSP), is proposed in the present paper. The BSP model, which is derived from the Single Porosity (SP) model by constraining the porosity to attain only the values zero inside the buildings and one in the voids among the buildings, is local and independent on the existence of a Representative Elementary Volume (REV). The BSP model satisfies the Galilean invariance, while the corresponding wave speeds are identical to those of the Shallow water Equations model, and its integral formulation coincides with the original integral model by Sanders et al. (2008). The structure of the BSP model implies that the solution of the SP Riemann problem is the numerical building block for the construction of the corresponding Finite Volume schemes. This observation prompts a further study of the SP model and its solutions, demonstrating that the exact SP Riemann problem solution has the potential to take into account the transient energy losses due to wave reflections through the urban fabric in BSP models. Nonetheless, a further comparison with the two-dimensional SWE results demonstrates that additional stationary energy dissipations must be accurately taken into account through porosity reductions in the case of supercritical flow. The numerical experiments show that available approximate SP Riemann solvers may cause a systematic underestimation of the energy dissipation through the urban fabric and an overestimation of the flood celerity. The improvement of SP Riemann solvers could limit the resort to additional drag and momentum dissipation terms that are frequently added in numerical models. Finally, the investigation of the differential porosity models where different definitions are used for storage and conveyance porosity shows that these models suffer from a fundamental lack of physical congruence, implying that they cannot be used for the analysis of flood wave propagation through the urban fabric. © 2019 Elsevier Ltd
关键词	Differential equations Energy dissipation Equations of motion Floods Integral equations Partial differential equations Wave propagation Finite volume schemes Flood wave propagation Integral formulations Numerical experiments Representative elementary volume Shallow water equations Shallow water model Urban flooding Porosity accuracy assessment computer simulation finite volume method flooding flow modeling numerical model porosity shallow-water equation supercritical flow urban area wave propagation wave reflection
语种	英语
来源机构	Advances in Water Resources
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/131874
推荐引用方式 GB/T 7714	Varra G.,Pepe V.,Cimorelli L.,et al. On integral and differential porosity models for urban flooding simulation[J]. Advances in Water Resources,2020,136.
APA	Varra G.,Pepe V.,Cimorelli L.,Della Morte R.,&Cozzolino L..(2020).On integral and differential porosity models for urban flooding simulation.,136.
MLA	Varra G.,et al."On integral and differential porosity models for urban flooding simulation".136(2020).