APPLICATION OF CUBIC-SPLIN E INTERPOLATION SCHEMES IN METHOD OF CHARACTERISTICS FOR WATER HAMMER ANALYSIS

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ASGHARI K.; ROSTAMI A.; CHAMANI M.R.

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Journal: AMIRKABIR Year:2004 | Volume:15 | Issue:59-B Page(s): 21-36

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Title

APPLICATION OF CUBIC-SPLIN E INTERPOLATION SCHEMES IN METHOD OF CHARACTERISTICS FOR WATER HAMMER ANALYSIS

Author(s)

ASGHARI K. | ROSTAMI A. | CHAMANI M.R. | Issue Writer Certificate

Keywords

WATER HAMMERQ2

UNSTEADY FLOWQ4

TRANSIENT FLOWQ4

METHOD OF CHARACTERISTICSQ3

CUBIC-SPLINE INTERPOLATIONQ4

Abstract

Since 70s, the fixed-grid METHOD OF CHARACTERISTICS has been used successfully to analyze transient conditions in networks and pipeline systems. In analyzing TRANSIENT FLOW, the use of an interpolation scheme is unavoidable, as the Courant number should be satisfied. Several interpolation schemes are introduced and used in solving WATER HAMMER classical equations. In this investigation, cubic-spline spatial-line interpolation scheme plus two new cubic-spline, time-line and combined interpolation schemes, are used to solve the approximate and complete WATER HAMMER eluations. All interpolation schemes are used to analyze TRANSIENT FLOW in a pipeline containing three senes pipes with a reservoir and a valve. It is shown that for small time-steps, all interpolation schemes produce same results. For a large time-step, non-linear interpolation schemes perform better than the linear ones. The combined interpolation scheme used to solve the approximate equations has the best accuracy. In terms of accuracy and computational time, the cubic-spline time-line interpolation performs the best for both approximate and complete WATER HAMMER equation

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APA: Copy

ASGHARI, K., ROSTAMI, A., & CHAMANI, M.R.. (2004). APPLICATION OF CUBIC-SPLIN E INTERPOLATION SCHEMES IN METHOD OF CHARACTERISTICS FOR WATER HAMMER ANALYSIS. AMIRKABIR, 15(59-B), 21-36. SID. https://sid.ir/paper/724/en

Vancouver: Copy

ASGHARI K., ROSTAMI A., CHAMANI M.R.. APPLICATION OF CUBIC-SPLIN E INTERPOLATION SCHEMES IN METHOD OF CHARACTERISTICS FOR WATER HAMMER ANALYSIS. AMIRKABIR[Internet]. 2004;15(59-B):21-36. Available from: https://sid.ir/paper/724/en

IEEE: Copy

K. ASGHARI, A. ROSTAMI, and M.R. CHAMANI, “APPLICATION OF CUBIC-SPLIN E INTERPOLATION SCHEMES IN METHOD OF CHARACTERISTICS FOR WATER HAMMER ANALYSIS,” AMIRKABIR, vol. 15, no. 59-B, pp. 21–36, 2004, [Online]. Available: https://sid.ir/paper/724/en

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