This method is based on the Newton-Raphson general algorithm for the solution of a set of simultaneous non-linear equations. F(X) = 0, where F is a vector of functions f1 to fn in variables x1, to xn. At each iteration of this method, the non-linear problem is approximated by a li...
The Newton–Raphson method was utilized because is at least quadratically convergent. It has been applied in many applications in the hydraulic field [19]. A flowchart is presented for computing air pocket pressure and water column length at the end of a transient event using an explicit ...