Title :
A new mathematical model and using Finite Difference method to simulate pipeline water hammer
Author :
Shiliang, Zhang ; Zhenhu, Meng
Author_Institution :
Jiangsu Key Lab. of Oil & Gas Storage, Transp. Technol. Changzhou Univ., Changzhou, China
Abstract :
Basic equation of the water hammer in pipelines belongs to double-curve partial equation of first order. And water hammer is calculated primarily by MOC. The Finite Difference method (FD) based on the method of characteristics was used to solve numerically the nonlinear two-parameter equations governing water hammer The finite fixed mesh was applied to obtaining the discrete form of the governing equations and discrete flow field. It is testified by case and comparing with MOC that FD method has broad prospect of application in calculating the water hammer in pipeline Therefore, it is necessary to conduct further research.
Keywords :
finite difference methods; flow simulation; hammers (machines); nonlinear differential equations; partial differential equations; pipe flow; pipelines; discrete flow field; finite difference method; finite fixed mesh method; first order double-curve partial equation; mathematical model; nonlinear two-parameter equation; numerical method; pipeline water hammer simulation; Finite difference methods; Gauss-Seidel method; finite difference method; method of characteristics; transient flow; water hammer;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952731