Solution of water networks by sparse matrix methods
- 1 January 1978
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 12 (8) , 1261-1277
- https://doi.org/10.1002/nme.1620120805
Abstract
A computer program for Water Network analysis has been developed usingy sparse matrix techniques for solution. The method used is the successive linearization method where the set of equations [Q]=[Y][H] is solved. In the process, two subroutines for node reordering to preserve sparsity of the Jacobian matrix and a subroutine for solving the matrix by the Doolittle method are included. The method is user oriented and requires a minimum amount of input data and effort. Networks of up to 200 nodes and 300 pipes may be analysed on an IBM 1130 computer with 16K words of memory.Keywords
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