Time‐Marching Approach for Pipe Steady Flows
Publication: Journal of Hydraulic Engineering
Volume 114, Issue 11
Abstract
The time‐marching approach (TMA) for determining steady‐state flows as the asymptotic limit of transient flows in pipelines has been improved. It is shown that the rate of convergence to steady state is increased by reducing the spectral radius of a coefficient matrix of a state‐vector equation, which is composed of the basic equations and boundary conditions linearized about the steady condition. A generalized TMA theory using the method of characteristics has been formulated and the spectral radius is minimized by changing system parameters to imaginary ones by using the energy and mass conservation equations. In addition, a practical method was designed to efficiently handle TMA in large pipelines without having to calculate eigenvalues. The TMA has been extended to accurately estimate friction factors using an explicit approximation to the Colebrook‐White formula.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 114 • Issue 11 • November 1988
Pages: 1301 - 1320
Copyright
Copyright © 1988 ASCE.
History
Published online: Nov 1, 1988
Published in print: Nov 1988
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