Numerical simulation of particle concentration in a turbulent pipe flow Hans Kuerten Maurice Veenman Joost de Hoogh.

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Presentation transcript:

Numerical simulation of particle concentration in a turbulent pipe flow Hans Kuerten Maurice Veenman Joost de Hoogh

Contents DNS - model Concentration equations Space and time discretisation Early results Finite volume method Future planning

DNS model Direct Numerical Simulation by M. Veenman Axial and tangential direction –Spectral solver Radial direction –Chebychev polynomial expansion Implementation of the concentration equations as a passive scalar

Concentration equation Boundary conditions Axial and tangential direction: periodic conditions Radial direction:

Adams-Bashforth time integration

Simple testing

First results Movie clip!

Negative concentration

Finite volume method Roe’s first order upwind scheme Muscl method (by van Leer) Second/third order depending on parameters r φ z

Results Muscl method MovieMovie clip!clip!

Different grid New uniform grid –Radial direction: uniform grid –Tangential direction (MUSCL): half the points Velocity Interpolation

Mean radius Muscl Fourier 1 st order upwind

Things still to do Implement diffusion Compare the model with Brethouwer’s results Look into forces acting on the concentration (e.g. gravity)