6th International Conference on Nanostructures , 2016-03-07

Title : ( Convergence behaviour of the SBT collision algorithm in nano Fourier flow )

Authors: Ehsan Roohi , Elmira Taheri ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

This paper provides a convergence study of the DSMC method for the one dimensional Fourier heat-flow problem. The simulations are performed using the Simplified Bernoulli Trials (SBT) collision algorithm. The convergence metric is taken as the ratio of the DSMC-calculated bulk thermal conductivity, KDSMC to the infinite-approximation, Chapman-Enskog (CE) theoretical value, K. In general, three parameters are known to limit the numerical accuracy of the DSMC method: the number of simulators (particles) per cell, Nc; the time step, Δt; and the cell size, Δx. The dependency of these discretization errors have been investigated in comparison with the conventional collision algorithm, i.e., no time counter (NTC). These results provide a strong verification that SBT collision algorithm is accurate and efficient with small number of particles if fine grids and small time step were used. We also show that the DSMC-calculated velocity distribution function, as measured by the Sonine-polynomial coefficients ak, is in suitable agreement with CE theoretical predictions.

Keywords

, DSMC; Simplified Bernoulli Trials (SBT); thermal conductivity; Sonine, polynomial coefficients
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@inproceedings{paperid:1055408,
author = {Roohi, Ehsan and Taheri, Elmira},
title = {Convergence behaviour of the SBT collision algorithm in nano Fourier flow},
booktitle = {6th International Conference on Nanostructures},
year = {2016},
location = {کیش, IRAN},
keywords = {DSMC; Simplified Bernoulli Trials (SBT); thermal conductivity; Sonine-polynomial coefficients},
}

[Download]

%0 Conference Proceedings
%T Convergence behaviour of the SBT collision algorithm in nano Fourier flow
%A Roohi, Ehsan
%A Taheri, Elmira
%J 6th International Conference on Nanostructures
%D 2016

[Download]