An adaptive error-controlled hybrid fast solver for regularized vortex methods

DOI10.1016/j.jcp.2022.111504OpenAlexW4288456799MaRDI QIDQ2168315

Samer Salloum, Issam Lakkis

Publication date: 31 August 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111504

zbMATH Keywords

vortex methodsfast multipolesadaptive fast solver

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Computer aspects of numerical algorithms (65Yxx) Probabilistic methods, stochastic differential equations (65Cxx)

Uses Software

• HOT
• exafmm

Cites Work

• Comparing the treecode with FMM on GPUs for vortex particle simulations of a leapfrogging vortex ring
• A hierarchical \({\mathcal O}(N)\) force calculation algorithm
• A comparison between the fast multipole algorithm and the tree-code to evaluate gravitational forces in 3-D
• Contributions to vortex particle methods for the computation of three- dimensional incompressible unsteady flows
• A portable parallel particle program
• A fast adaptive multipole algorithm in three dimensions
• Proper evaluation of spherical harmonics-based expressions for the velocity and vortex stretching vectors in three-dimensional grid-free vortex methods
• Application of fast parallel and sequential tree codes to computing three-dimensional flows with the vortex element and boundary element methods
• A fast algorithm for particle simulations

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