Closure to 'Dealing with Zero Flows in Solving the Nonlinear Equations for Water Distribution Systems' by Sylvan Elhay and Angus R. Simpson

摘要

All four discussers make a useful (and nice) observation when they point out that the method can be extended to any case where the full Jacobian J is singular because there are more zero flows, n_z, than nodes, n_j, in the network. They may have argued as follows. The solution to Eq. (4) of the original paper is the vector of required (correct) flows and heads