Click for new scientific resources and news about Corona[COVID-19]

Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   FEBRUARY 2017 , Volume 16 , Number 11 ; Page(s) 113 To 122.
 
Paper: 

EVALUATION OF THE SIMPLIFIED BERNOULLI TRIAL COLLISION ALGORITHM IN TREATING RAREFIED NANO-FOURIER FLOW

 
 
Author(s):  TAHERI ELMIRA, ROUHI EHSAN*
 
* DEPARTMENT OF MECHANICAL ENGINEERING, FERDOWSI UNIVERSITY OF MASHHAD, IRAN
 
Abstract: 

In the present study, the convergence behavior of the direct simulation Monte Carlo (DSMC) method is extensively explored. The Simplified Bernoulli Trials (SBT) collision algorithm is applied to simulate a one-dimensional nano Fourier heat conduction problem, which consists of rarefied gas confined between two infinite parallel plates with unequal temperatures. The investigations compares the Soninepolynomial coefficients ak calculated from the DSMC results with theoretical predictions of the Chapman-Enskog (CE) theory. In addition, the convergence behavior of the wall heat flux and the ratio of the DSMC-calculated bulk thermal conductivity (KDSMC) to the infinite-approximation of CE theoretical value (K) is studied. The numerical accuracy of the DSMC method is found to be restricted with regard to three parameters: time step, cell size, and number of computational particles per cell. The dependency of the SBT collision algorithm on these discretization errors has been investigated in comparison with the standard collision algorithm, i.e., no time counter (NTC). The results indicate that SBT can achieve analytical solutions of the Sonine polynomials using fewer particles per cell than NTC.
Moreover, in the SBT algorithm, the effective parameter in the convergence is
Dx/Dt ratio, which should be adjusted accurately. This study shows that by decreasing the number of particles per cell to even one particle in a constant Dx/Dt setting, the SBT algorithm accurately predicts solutions where the NTC algorithm fails.

 
Keyword(s): DIRECT SIMULATION MONTE CARLO, SIMPLIFIED BERNOULLI TRIALS, CHAPMAN-ENSKOG, DISCRETIZATION ERRORS
 
References: 
  • ندارد
 
  Persian Abstract Yearly Visit 49
 
Latest on Blog
Enter SID Blog