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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 112
PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GPU AND CLOUD COMPUTING FOR ENGINEERING
Edited by: P. Iványi and B.H.V. Topping
Paper 7

Parallel RBF-FD solution of the Boussinesq's problem

G. Kosec1 and J. Slak2

1Parallel And Distributed Systems Laboratory, Jo?zef Stefan Institute, Ljubljana, Slovenia 2Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

Full Bibliographic Reference for this paper
G. Kosec, J. Slak, "Parallel RBF-FD solution of the Boussinesq's problem", in P. Iványi, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on Parallel, Distributed, GPU and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 7, 2019. doi:10.4203/ccp.112.7
Keywords: Navier equation, RBF-FD, OpenMP, sparse system..

Summary
This paper explores a numerical solution of the three dimensional Boussinesq’s problem. To obtain a solution, the Cauchy-Navier equation is numerically solved on a variable density nodal distribution with a meshless method. The method is implemented in C++ programming language with modularity in mind, enabling construction of many different meshless strong form approaches. It is demonstrated that such code can be efficiently employed to solve a complex problem in parallel, using a popular Radial Basis Function-generated Finite Differences meshless method. Results are presented in terms of von Mises stress field, convergence behaviour and execution analysis on dual CPU machine with total of 12 cores.

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