1. On the convergence of the symmetrized and simplified Bernoulli trial (SSBT) collision scheme in shock wave problem.
- Author
-
Javani, Maryam, Roohi, Ehsan, and Taheri, Elmira
- Subjects
- *
SHOCK waves , *BENCHMARK problems (Computer science) , *SHEARING force , *HEAT flux , *SAMPLE size (Statistics) - Abstract
The shock wave problem has been investigated by comparing the symmetrized and simplified Bernoulli trial (SSBT) techniques to previous collision schemes, i.e., the simplified Bernoulli trials (SBT) scheme. The SSBT scheme picks the second particle of a selected pair from the entire list of particles with equal probability, which is closer to the behaviour of gases in actual conditions. It prevents repetitive collisions by introducing a procedure to avoid duplicate colliding pairs. This benchmark problem is investigated to evaluate the efficiency of this newly introduced algorithm. The SSBT collision scheme is implemented in Bird's original one-dimensional code (DSMC1S) to perform the simulations. In addition to other shock features such as density and temperature, the convergence of shear stress and heat flux normal to the shock wave was investigated using the SSBT method. Compared with SBT, the SSBT method delivers quite accurate results. The SSBT scheme could be applied to the shock wave problem with few particles per cell (one or even fewer) if an appropriate space and time discretization is used. In the highly non-equilibrium problem of shock waves, the SSBT scheme's symmetric algorithm improves the quality of the selection process, resulting in a smaller sample size to achieve the same convergence limit as SBT. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF