Improved implicit procedure for multichannel surge computations

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Abstract
A procedure for numbering the computation points along a system of waterways is presented for the implicit finite difference solution of open channel unsteady flow problems. In a multichannel system, with each branch watercourse being treated as one-dimensional, application of the proposed numbering procedure will produce a narrow diagonally banded coefficient matrix of simultaneous equations. An existing IBM programme, GELB, can thus be employed to solve the simultaneous equations resulting in a significant reduction both in computer storage requirements and computing time.The tailrace system of Portage Mountain Development on the Peace River, British Columbia, Canada, is a Y-shaped channel to which the proposed procedure was first succesfully applied.

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