文章基本信息

标题：An implicit matrix-free hydrodynamic model for river and urban drainage system
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作者：Hai Jun Yu ; Yu Yan Fan ; Tian Qi Ao 等
期刊名称：IOP Conference Series: Earth and Environmental Science
印刷版ISSN：1755-1307
电子版ISSN：1755-1315
出版年度：2018
卷号：153
期号：3
页码：032032
DOI：10.1088/1755-1315/153/3/032032
语种：English
出版社：IOP Publishing
摘要：An implicit matrix-free numerical model for river and urban drainage system is presented in this paper. The four-point implicit Preissmann scheme is used to discretise the governing equations of free surface-pressurised flow. To avoid solving a large sparse matrix, the junction-point water stage prediction and correction (SPC) method after some improvements, which was initially proposed for free-surface flow, is extended to the simulation of pressurised flow and the flow where free surface and pressurised flows coexist. A total of four test cases, namely, an extensive analytical benchmark case, a tree network system case, a looped network system case and a free-surface flow case with from real world, are applied to validate the proposed model and to demonstrate its performance in comparison with the analytical solution, published results and measured data. The proposed model has proven accurate for a number of test cases involving free-surface and pressurised flows.