# Channel Network Analysis Using Simultaneous Solution Algorithm

*by*G. W. Choi, Colorado State Univ, Fort Collins, United States,

A. Molinas, Colorado State Univ, Fort Collins, United States,

**Abstract:**In this paper, a simultaneous solution algorithm for one dimensional unsteady flow routing through channel networks is introduced. This direct solution algorithm is based on the double sweep method. It utilizes separate recursion equations for continuity, momentum and energy equations for each of the individual components of channel networks. By doing so it converts the channel network problem into a single channel problem. The new algorithm is utilized in a linearized unsteady flow model using full dynamic flow equations. The required computer storage for the coefficient matrix of the whole system is reduced significantly from the 2N × 2N matrix to a 2N × 4 matrix. Here, N is the number of sections required for computing flow variables in the channel network. The algorithm presented in this paper provides an efficient and accurate modeling of unsteady flow events through channel networks.

**Subject Headings:**Algorithms | Channel flow | Fluid flow | Unsteady flow | Water flow | Linear flow | Matrix (mathematics) | Network analysis

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