Geodesic
Application of parallel algorithms for solving hydrodynamic problems by the vortex element method
Numerical methods and programming, Tome 11 (2010) no. 1, pp. 105-110.

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A parallel algorithm for the simulation of incompressible 3D flow around bluff bodies using the vortex element method is considered. Traditionally, the parallel algorithms based on this method are applied only to one step of the computation procedure consisting in the vortex influence computation, similar to the $N$-body problem. In this paper, the computational complexity of all steps of the algorithm is analyzed. It is shown that the parallel algorithms allow one to accelerate computations significantly. The efficiency of the parallel algorithms is studied for different types of computing systems. Some numerical results are discussed.
Keywords: parallel algorithm; vortex element method; computational complexity; cluster; MPI. 
@article{VMP_2010_11_1_a11,
     author = {I. K. Marchevsky and G. A. Scheglov},
     title = {Application of parallel algorithms for solving hydrodynamic problems by the vortex element method},
     journal = {Numerical methods and programming},
     pages = {105--110},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2010_11_1_a11/}
}
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I. K. Marchevsky; G. A. Scheglov. Application of parallel algorithms for solving hydrodynamic problems by the vortex element method. Numerical methods and programming, Tome 11 (2010) no. 1, pp. 105-110. http://geodesic.mathdoc.fr/item/VMP_2010_11_1_a11/