Abstract
In the paper it is suggested a correction of the Bird’s algorithm in the DSMC method. It takes account of real distribution of collision events inside the time steps Δt and actual trajectories for the collided particles there thus diminishing asymptotical order of the error in time evolution from O(Δt) to O((Δt) 2 ). However the structure of the algorithm turned out to be more complicated and parallel implementation of it becomes a new problem. As some solution of this problem the corrected DSMC method in its domain decomposited version was applied for simulation of unsteady flow in a two-dimensional cavity with a moving bottom. The numerical results of this simulation presented in the paper show a noticeable artificial acceleration of changes for system parameters by the uncorrected version in comparison with the corrected one as the former locates all collision events from the previous collisional time step at one time point at the beginning of the space motional step. The difference between their results in calculation of the mean velocity circulation along the identical loops in its time development increases proportionally to value of the time step O(Δt) used and to mean molecular collision number on the distance from the source of perturbation to a measuring point.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bird G.A., Molecular Gas Dynamics. Clarendon Press, Oxford, 1976.
Bird G.A., Molecular Gas Dynamics and the Direct Simulation of the Gas Flows. Clarendon Press, Oxford, 1994.
Memnonov V.P., Direct Simulation Monte Carlo Method: Another Version of Reunion for Decoupled Processes. Proc. of the 3rd St.Petersburg Workshop on Simulation.Ed.’s S.M.Ermakov and V.B.Melas, SPbSU Publ.House 1998, 101–106.
Memnonov V.P., Direct Simulation Monte Carlo Method: Different Procedure for Joining of Decoupled Processes(in Russian)// Mathematical modeling, 1999, 11, n3, 77–82.
Khinchine A.Ya., Mathematical Models in the Theory of Queueing. Griffing, London, 1960.
Memnonov V.P., Some Asymptotical Estimates in the DSMC Method. In Proc. of 2nd St.-Petersburg Workshop on Simulation. Ed.’s S.M.Ermakov and V.B.Melas, SPbSU Publ. House 1996, 118–119.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ignatieva, S., Memnonov, V. (2001). Parallel Implementation of a Corrected DSMC Method. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2001. Lecture Notes in Computer Science, vol 2127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44743-1_45
Download citation
DOI: https://doi.org/10.1007/3-540-44743-1_45
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42522-9
Online ISBN: 978-3-540-44743-6
eBook Packages: Springer Book Archive