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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A fast algorithm for simulation of periodic flows using discrete vortex particles

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Author(s):
Ricciardi, Tulio R. [1] ; Wolf, William R. [1] ; Bimbato, Alex M. [2]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, BR-13083860 Campinas, SP - Brazil
[2] Sao Paulo State Univ, BR-12516410 Guaratingueta, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of the Brazilian Society of Mechanical Sciences and Engineering; v. 39, n. 11, p. 4555-4570, NOV 2017.
Web of Science Citations: 0
Abstract

We present a novel fast algorithm for flow simulations using the discrete vortex method, DVM, for problems with periodic boundary conditions. In the DVM, the solution of the velocity field induced by interactions among N discrete vortex particles is governed by the Biot-Savart law and, therefore, leads to a computational cost proportional to O(). The proposed algorithm combines exponential and power series expansions implemented using a divide and conquer strategy to accelerate the calculation of the cotangent kernel that models periodic boundary conditions. The fast multipole method, FMM, is applied for the solution of singular terms appearing in the power series expansion and also for the exponential series expansion. Error and computational cost analyses are performed for the individual steps of the algorithm for double and quadruple machine precision. The current method presents more accurate solutions when compared to those obtained by periodic domain replication using the free-field FMM kernel. The novel algorithm provides computational savings of nearly 240 times for double-precision simulations with one million particles when compared to the direct calculation of the Biot-Savart law. (AU)

FAPESP's process: 13/03413-4 - Investigation of noise generation and propagation by aerodynamic configurations using computational aeroacoustics
Grantee:William Roberto Wolf
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC