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Table 1 Simulation parameters in the GSIS-LVDSMC and LVDSMC (values in parentheses) used in the 1D Poiseuille 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)

100 (300)

25 (25)

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

0.05 (0.5)

1.0 (1.0)

Number of time steps in transition state

\(10^4\)

2500

2500

2500

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

(\(2\times 10^4\))

(5000)

(2500)

Number of time steps in steady state

\(7\times 10^4\)

\(2.5\times 10^5\)

\(3\times 10^5\)

\(3\times 10^5\)

(\(2\times 10^5\))

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

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

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

CPU Timea

588 s

194 s

50 s

52 s

(8 h)

(205 s)

(45 s)

(36 s)

Number of particlesb

13000

400

200

400

(14000)

(400)

(200)

(400)

Error relative to GSIS-DVM

0.019%

0.6%

1%

0.5%

(6.22%)

(2%)

(0.1%)

(0.1%)

  1. a. All simulations are done on a single core of an Intel(R) Core(TM) i7-10700K CPU @ 3.80GHz processor
  2. b. The time-averaged number of total deviational particles