Due to the wide application of Delaware nozzle in many fields, flow characteristics subsonic-supersonic isentropic De-Laval are analyzed numerically. The can be simplified a quasi-one-dimensional problem. First, MacCormack format is employed discretize control equations conservative form. Then, results with and without artificial viscosity compared. Grid independence also discussed. show that n...

An efficient second-order stable numerical method is presented to solve the model partial differential equations of thermal glass fiber processing. The physical process and structure of the model equations are described first. The numerical issues are then clarified. The heart of our method is a MacCormack scheme with flux limiting. The numerical method is validated on a linearized isothermal m...

We present a numerical solver for the incompressible Navier–Stokes equations that combines fourth-order-accurate discrete approximations and an adaptive tree grid (i.e. h-refinement). The scheme employs novel compact-upwind advection 4th-order accurate projection algorithm whereby solution exactly satisfies incompressibility constraint. Further, we introduce new refinement indicator is tailored...

The matrix inversion plays a signifcant role in engineering and sciences. Any nonsingular square matrix has a unique inverse which can readily be evaluated via numerical techniques such as direct methods, decomposition scheme, iterative methods, etc. In this research article, first of all an algorithm which has fourth order rate of convergency with conditional stability will be proposed. ...

We present a multigrid solution of the three dimensional Poisson equation with a fourth order 19-point compact nite diierence scheme. Using a red-black ordering of the grid points and some geometric considerations, we derive an optimal scaled injection operator for the multigrid algorithm. Numerical computations show that this operator yields not only the smallest overall CPU time, but also the...