A Blended Continuation Method for Solving Steady Inviscid Flow

Hydrothermal Optimal Power Flow Using Continuation Method

The problem of optimal economic operation of hydrothermal electric power systems is solved using powerful continuation method. While in conventional approach, fixed generation voltages are used to avoid convergence problems, in the proposed algorithm, they are treated as variables so that better solutions can be obtained. The algorithm is tested for a typical 5-bus and 17-bus New Zealand networ...

A hybrid method for unsteady inviscid fluid flow

We show how a stable and accurate hybrid procedure for fluid flow can be constructed. Two separate solvers, one using high order finite difference methods and another using the node-centered unstructured finite volume method are coupled in a truly stable way. The two flow solvers run independently and receive and send information from each other by using a third coupling code. Exact solutions t...

UNSFLO : A Numerical Method For Unsteady Inviscid Flow In Turbomachinery

Time Integration and Steady-state Continuation Method for Lubrication Equations

The partial di erential equations describing the evolution of thin liquid lms on solid substrates in lubrication approximation are highly non-linear. Thus, the classical semi-implicit time integrator with a constant linear part fails due to a strong variation of the Jacobian between two consecutive time-steps. We propose to integrate the equations using an exponential propagation. This method r...

A Tailored Finite Point Method for Solving Steady MHDDuct Flow Problems with Boundary Layers

In this paper we propose a development of the finite difference method, called the tailored finite point method, for solving steady magnetohydrodynamic (MHD) duct flow problemswith a high Hartmann number. When the Hartmann number is large, the MHD duct flow is convection-dominated and thus its solution may exhibit localized phenomena such as the boundary layer. Most conventional numerical metho...