Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows

In this paper, the augmented version of finite volume Harten–Lax–van Leer (HLL) solver, including source terms, is extended to free-surface and pressurized mixed pipe flows over complex and frictional topography. This augmented HLL Riemann solver is employed for the flux approximation at the cell in...

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Autores principales:	Shangzhi Chen, Feifei Zheng, Xin Liu
Formato:	article
Lenguaje:	EN
Publicado:	IWA Publishing 2021
Materias:	augmented hll riemann solver mixed pipe flow preissmann slot method shallow water equations Information technology T58.5-58.64 Environmental technology. Sanitary engineering TD1-1066
Acceso en línea:	https://doaj.org/article/33191aeeaf5d4704805e6d16403a16b2
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id	oai:doaj.org-article:33191aeeaf5d4704805e6d16403a16b2
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spelling	oai:doaj.org-article:33191aeeaf5d4704805e6d16403a16b22021-11-05T17:49:03ZAugmented HLL Riemann solver including slope source term for 1D mixed pipe flows1464-71411465-173410.2166/hydro.2021.155https://doaj.org/article/33191aeeaf5d4704805e6d16403a16b22021-07-01T00:00:00Zhttp://jh.iwaponline.com/content/23/4/831https://doaj.org/toc/1464-7141https://doaj.org/toc/1465-1734In this paper, the augmented version of finite volume Harten–Lax–van Leer (HLL) solver, including source terms, is extended to free-surface and pressurized mixed pipe flows over complex and frictional topography. This augmented HLL Riemann solver is employed for the flux approximation at the cell interface, where source terms are split into two parts based on the wave propagation speed. The friction term is treated using a splitting implicit method to maintain stability over dry beds. The Preissmann slot method is adopted to reproduce pressurized flow in the conduit. The performances of the numerical model are investigated by several numerical tests and compared with existing methods showing clear improvements. HIGHLIGHTS An augmented HLL Riemann solver is extended to mixed pipe flows over complex topography.; Superiority simulating steady flows over complex topography with different hydraulic flow regimes.; Capability simulating transient dambreak pipe flow, including wetting or drying front and the calculation of the friction term.;Shangzhi ChenFeifei ZhengXin LiuIWA Publishingarticleaugmented hll riemann solvermixed pipe flowpreissmann slot methodshallow water equationsInformation technologyT58.5-58.64Environmental technology. Sanitary engineeringTD1-1066ENJournal of Hydroinformatics, Vol 23, Iss 4, Pp 831-848 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	augmented hll riemann solver mixed pipe flow preissmann slot method shallow water equations Information technology T58.5-58.64 Environmental technology. Sanitary engineering TD1-1066
spellingShingle	augmented hll riemann solver mixed pipe flow preissmann slot method shallow water equations Information technology T58.5-58.64 Environmental technology. Sanitary engineering TD1-1066 Shangzhi Chen Feifei Zheng Xin Liu Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows
description	In this paper, the augmented version of finite volume Harten–Lax–van Leer (HLL) solver, including source terms, is extended to free-surface and pressurized mixed pipe flows over complex and frictional topography. This augmented HLL Riemann solver is employed for the flux approximation at the cell interface, where source terms are split into two parts based on the wave propagation speed. The friction term is treated using a splitting implicit method to maintain stability over dry beds. The Preissmann slot method is adopted to reproduce pressurized flow in the conduit. The performances of the numerical model are investigated by several numerical tests and compared with existing methods showing clear improvements. HIGHLIGHTS An augmented HLL Riemann solver is extended to mixed pipe flows over complex topography.; Superiority simulating steady flows over complex topography with different hydraulic flow regimes.; Capability simulating transient dambreak pipe flow, including wetting or drying front and the calculation of the friction term.;
format	article
author	Shangzhi Chen Feifei Zheng Xin Liu
author_facet	Shangzhi Chen Feifei Zheng Xin Liu
author_sort	Shangzhi Chen
title	Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows
title_short	Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows
title_full	Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows
title_fullStr	Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows
title_full_unstemmed	Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows
title_sort	augmented hll riemann solver including slope source term for 1d mixed pipe flows
publisher	IWA Publishing
publishDate	2021
url	https://doaj.org/article/33191aeeaf5d4704805e6d16403a16b2
work_keys_str_mv	AT shangzhichen augmentedhllriemannsolverincludingslopesourcetermfor1dmixedpipeflows AT feifeizheng augmentedhllriemannsolverincludingslopesourcetermfor1dmixedpipeflows AT xinliu augmentedhllriemannsolverincludingslopesourcetermfor1dmixedpipeflows
_version_	1718444093229498368

Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows

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