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Table 3 Parameters adopted in GSIS-LVDSMC and LVDSMC (values in parentheses) algorithms in the simulation of 1D Fourier flow

From: Boosting the convergence of low-variance DSMC by GSIS

 

\(\text {Slip flow}\)

\(\text {Transition flow}\)

\({Kn}\)

0.01

0.1

1

10

Number of cells (N)

50 (300)

50 (50)

\(N\times {\it{\Delta}} \hat{t}\)

0.5 (1.0)

1.0 (1.0)

Number of time steps in transition state

\(1.25\times 10^4\)

2000

2000

2000

(\(3\times 10^5\))

(\(3\times 10^4\))

(4000)

(2000)

Number of time steps in steady state

\(7\times 10^5\)

\(10^6\)

\(10^6\)

\(10^6\)

(\(10^7\))

(\(3\times 10^6\))

(\(10^6\))

(\(10^6\))

CPU Time

82 s

240 s

97 s

201 s

(40 h)

(1536 s)

(81 s)

(76 s)

Number of particles

300 (13000)

160 (500)

200 (330)

600 (500)

Error relative to GSIS-DVM

2.85%

0.92%

0.27%

0.087%

(8.81%)

(0.32%)

(0.34%)

(0.032%)