In this study we have developed a flexible and efficient numerical scheme for the simulation of three–dimensional incompressible flows in spherical coordinates. The main idea, inspired by similar strategy as [1] cylindrical coordinates, consists change variables combined with discretization on staggered mesh special treatment few discrete terms that remove singularities Navier–Stokes equations ...

The article proposes a formula for calculating scheme viscosity, which manifests itself in calculations using implicit schemes the transfer of matter and momentum. study aims to substantiate structure viscosity mass momentum equation. As result study, solving equation was determined. accuracy checked on test example. It is substantiated that by all possible means, it necessary avoid when proble...

We consider a complex autonomously driven single limit cycle oscillator with delayed feedback.The original model is translated to a two-dimensional system.Through a nonstandard finite-difference (NSFD) schemewe study the dynamics of this resulting system. The stability of the equilibriumof themodel is investigated by analyzing the characteristic equation. In the two-dimensional discrete model, ...

– 2 – We present 3-D numerical hydrodynamical simulations of precessing supersonic heavy jets to explore their evolution, how they differ from straight jets and how well they serve as a model for generating molecular outflows from Young Stellar Objects. The dynamics are studied with a number of high resolution simulations on a Cartesian grid (128x128x128 zones) using a high order finite differe...