A Hybrid Solution for Transient Pipe Flow based on Method of Characteristics and Lax-Friedrichs Scheme
محل انتشار: مجله مهندسی هیدرولیک و آب، دوره: 2، شماره: 1
سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 60
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شناسه ملی سند علمی:
JR_JHWE-2-1_002
تاریخ نمایه سازی: 3 اردیبهشت 1404
چکیده مقاله:
Method of Characteristics (MOC) has long been an excellent and widely established technique for analyzing transient flow, especially in a single pipeline with constant wave speed. But, this method has some limitations in terms of mesh sizing while studying multi-pipe systems or systems with different wave speeds. More specifically, it needs all pipes to satisfy the Courant number to be unity while the same time step should be chosen for all pipes. With this, one reach in each pipe remains, which does not satisfy the Courant requirement. As one possible remedy to this shortcoming, a hybrid numerical method based on MOC and a two-step variant of the Lax-Friedrichs method (MOC-LF) is suggested in the present study. This method is compared against the conventional MOC scheme, which adapts interpolation for the remaining length per pipe (MOC-MOC). In the approach, two significant effects of FSI in fluid-filled tubes, namely Poisson and junction coupling, are introduced. The computational simulations are carried out for a reservoir-pipe-valve system with instantaneous and gradual closure of the downstream valve. The results of proposed scheme and those of MOC with interpolation are in good agreement with solutions obtained by MOC with a very fine grid, which are taken as a reference. Detailed comparison of the computational methods in terms of error indicates that the proposed MOC-LF can be a good alternative for conventional MOC schemes.
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نویسندگان
Faeze Khalighi
Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box ۵۱۳, ۵۶۰۰ MB Eindhoven, The Netherlands.
Ahmad Ahmadi
Department of Civil and Environmental Engineering, Hong Kong Polytechnic University, Hung Hom, SAR ۹۹۹۰۷۷, Kowloon, Hong Kong.
Alireza Keramat
Research Institute for Land and Space, Hong Kong Polytechnic University, Hung Hom SAR ۹۹۹۰۷۷, Kowloon, Hong Kong.
Arris Tijsseling
Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box ۵۱۳, ۵۶۰۰ MB Eindhoven, The Netherlands.
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