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Abstract

The use of the physical linear characteristic of the modified equation of fluid motion allowed the authors to develop a novel numerical algorithm to solve advanced flow problems with reduced computational effort. The applied algorithm simplifies the velocity iteration procedure during the solver execution. The goal of the current paper is to describe an in-depth study of this numerical implementation of the modified equation of fluid motion for incompressible flow. The application of the developed solver is discussed for rotor–stator interaction in a radial pump. The results are evaluated by the numerical results from the Navier–Stokes solver and measurement data. The comparisons indicate that the developed solver, requires about 60% the computation time of the Navier–Stokes solver, and it produces physically reasonable results validated by measurement data.

Keywords

Navier-Stokes equations modified equation of fluid motion computational fluid dynamics finite-volume method rotor–stator interaction

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Application of a new numerical solver to turbomachinery flow problems

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