TY - JOUR
T1 - A splitting-free vorticity redistribution method
AU - Kirchhart, M.
AU - Obi, S.
N1 - Funding Information:
Finally, we would like to conclude this text by thanking the editor and reviewers for their comments which helped improving the quality of this article. This work was financially supported by the Keio Leading-edge Laboratory of Science and Technology (KLL). The first author also receives the MEXT scholarship of the Japanese Ministry of Education .
Publisher Copyright:
© 2016 Elsevier Inc.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2017/2/1
Y1 - 2017/2/1
N2 - We present a splitting-free variant of the vorticity redistribution method. Spatial consistency and stability when combined with a time-stepping scheme are proven. We propose a new strategy preventing excessive growth in the number of particles while retaining the order of consistency. The novel concept of small neighbourhoods significantly reduces the method's computational cost. In numerical experiments the method showed second order convergence, one order higher than predicted by the analysis. Compared to the fast multipole code used in the velocity computation, the method is about three times faster.
AB - We present a splitting-free variant of the vorticity redistribution method. Spatial consistency and stability when combined with a time-stepping scheme are proven. We propose a new strategy preventing excessive growth in the number of particles while retaining the order of consistency. The novel concept of small neighbourhoods significantly reduces the method's computational cost. In numerical experiments the method showed second order convergence, one order higher than predicted by the analysis. Compared to the fast multipole code used in the velocity computation, the method is about three times faster.
KW - Vortex diffusion schemes
KW - Vortex particle methods
UR - http://www.scopus.com/inward/record.url?scp=84998775108&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84998775108&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2016.11.014
DO - 10.1016/j.jcp.2016.11.014
M3 - Article
AN - SCOPUS:84998775108
VL - 330
SP - 282
EP - 295
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
ER -