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

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TAHERI ELMIRA; ROUHI EHSAN

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Journal: Modares Mechanical Engineering Year:2017 | Volume:16 | Issue:11 Page(s): 113-122

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Title

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

Author(s)

TAHERI ELMIRA | ROUHI EHSAN | Issue Writer Certificate

Keywords

DIRECT SIMULATION MONTE CARLOQ2

SIMPLIFIED BERNOULLI TRIALSQ1

CHAPMAN-ENSKOGQ1

DISCRETIZATION ERRORSQ1

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.

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APA: Copy

TAHERI, ELMIRA, & ROUHI, EHSAN. (2017). EVALUATION OF THE SIMPLIFIED BERNOULLI TRIAL COLLISION ALGORITHM IN TREATING RAREFIED NANO-FOURIER FLOW. MODARES MECHANICAL ENGINEERING, 16(11 ), 113-122. SID. https://sid.ir/paper/178906/en

Vancouver: Copy

TAHERI ELMIRA, ROUHI EHSAN. EVALUATION OF THE SIMPLIFIED BERNOULLI TRIAL COLLISION ALGORITHM IN TREATING RAREFIED NANO-FOURIER FLOW. MODARES MECHANICAL ENGINEERING[Internet]. 2017;16(11 ):113-122. Available from: https://sid.ir/paper/178906/en

IEEE: Copy

ELMIRA TAHERI, and EHSAN ROUHI, “EVALUATION OF THE SIMPLIFIED BERNOULLI TRIAL COLLISION ALGORITHM IN TREATING RAREFIED NANO-FOURIER FLOW,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 11 , pp. 113–122, 2017, [Online]. Available: https://sid.ir/paper/178906/en

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