An Implicit Method for Numerical Flood Routing
Michael Amein · Water Resources Research · 1968
There is great need for fast and accurate methods for the numerical solution of the equations of unsteady flow, which play an important role in the field of water resources. An implicit method which is both fast and accurate can be established based on (1) a centered difference scheme for representing the primary differential equations in finite difference form, and (2) simultaneous solutions of the finite difference equations for each time step. The difference equations constitute a system of nonlinear algebraic equations that can be solved on a digital computer by rapidly convergent procedures based on the generalized Newton iteration method. Application of the implicit method to the movement of floods in long channels confirms the efficiency and accuracy of the method.