This paper introduces alternating-direction implicit (ADI) solvers of higher order of timeaccuracy (orders two to six) for the compressible Navier-Stokes equations in twoand threedimensional curvilinear domains. The higher-order accuracy in time results from 1) An application of the backward differentiation formulae time-stepping algorithm (BDF) in conjunction with 2) A BDF-like extrapolation t...

In this article, the focus is mainly on gaining optimal control for unstable power system models and stabilizing them through Riccati-based feedback stabilization process with sparsity-preserving techniques. We are to find solution of Continuous-time Algebraic Riccati Equations (CAREs) governed from derived Brazilian Inter-Connected Power System (BIPS) models, which large-scale sparse index-1 d...

a two-dimensional two-phase numerical model is developed to predict transport and fate of oil slicks which resulted the concentration distribution of oil on the water surface. two dimensional governing equation of fluid flow which consists mass and momentum conservation was solved using the finite difference method on the structured staggered grid system. the resulted algebric equations were so...

The simulation of core collapse supernovæ calls for the time accurate solution of the (Euler) equations for inviscid hydrodynamics coupled with the equations for neutrino transport. The time evolution is carried out by evolving the Euler equations explicitly and the neutrino transport equations implicitly. Neutrino transport is modeled by the multi-group Boltzmann transport (MGBT) and the multi...

in this paper, the temperature distribution around a moving heat source had been investigated including the phase change and non phase change . in non-phase change state, the governing equation was converted to finite difference equation by finite volume method and the equation was solved by alternating direction implicit method. this method was unconditionally stable . in phase change state, t...