Stability of Method of Characteristics

by M. Hanif Chaudhry, Washington State Univ, Pullman, WA, USA,
Michael B. Holloway, Washington State Univ, Pullman, WA, USA,



Document Type: Proceeding Paper

Part of: Water for Resource Development

Abstract:

For the analysis of waterhammer, the first-order accurate method of characteristics (MOC) has been widely used for which Courant condition for stability has been developed neglecting the nonlinear terms. This scheme becomes unstable even if this condition is satisfied if friction losses are large. Stability and accuracy including friction are investigated, and a stability diagram is presented for practical applications.

Subject Headings: Friction | Water hammer | Transient response | Nonlinear analysis | Hydraulic transients | Computing in civil engineering

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