A preconditioned Krylov method for solution of the multi-dimensional, two fluid hydrodynamics equations

A preconditioned Krylov method is introduced fbr reducing the computational burden in the solution of the multi-dimensional, two fluid hydrodynamics e quations, The BILU3D preconditioned BICGSTAB method was applied to the line arized continuity equation in the inner iteration of the fully implicit sol ution of the mass, energy, and momentum equations in the EPRI code VIPRE-02 . A nuclear reactor thermal-hydraulics test problem was performed with 104 multidimensional flow channels in the vessel. For the simulation of a typic al pressurized water Reactor steam line break transient, the overall execut ion time was reduced by more than 50% compared to the existing solution tec hniques which utilize stationary alternate direction implicit (ADI) iterati ve methods for the inner iteration. (C) 2001 Elsevier Science Ltd. All righ ts reserved.