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Re: [ESPResSo-devel] Lattice Boltzmann - Grid Spacing


From: Ulf Schiller
Subject: Re: [ESPResSo-devel] Lattice Boltzmann - Grid Spacing
Date: Tue, 16 Oct 2007 19:35:32 +0200
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Zitat von Kai Grass <address@hidden>:
To whom it may concern,

I ran several tests on the current Lattice Boltzmann implementations
(D3Q18 and D3Q19). From my results, I conclude that there is a bug in
the implementation with regards to the lattice spacing (a). According
to the theory, the single particle diffusion (D) should decrease with
increasing lattice spacing (see paper by Ahlrichs et al 1999).  Exactly
the opposite is observed, but I didn't yet delve into the  code, to
find out where the error arises from. For a grid spacing of  1, the
results agree with the prediction, therefore it is safe to  assume,
that for this specific grid spacing the code works fine.

For grid spacing 1.0, also the properties of a single polymer chain were verified extensively and compared with Brownian dynamics simulations. For other grid spacings, it may well be that there was a factor missing somewhere (most likely in the fluctuating part). I don't have the time to search for it and the fluctuating part has been replaced by a corrected implementation anyway (obeying FDT at the microscopic level, see recent PRE).

Regards,
Ulf

--
Ulf D. Schiller   *   Room 1.404   *   Phone +49 6131 379-481
Max Planck Institute for Polymer Research
Theory Group
D-55128 Mainz, Germany


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