FMM-based vortex method for simulation of isotropic turbulence on GPUs, compared with a spectral method

DOI10.1016/j.compfluid.2012.08.002zbMath1284.76184arXiv1110.2921OpenAlexW2026637072WikidataQ108784887 ScholiaQ108784887MaRDI QIDQ2446603

Rio Yokota, Lorena A. Barba

Publication date: 17 April 2014

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2921

zbMATH Keywords

computational fluid dynamicsspectral methodfast multipole methodisotropic turbulenceGPU computing

Mathematics Subject Classification ID

Direct numerical and large eddy simulation of turbulence (76F65) Isotropic turbulence; homogeneous turbulence (76F05) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (7)

Proper evaluation of spherical harmonics-based expressions for the velocity and vortex stretching vectors in three-dimensional grid-free vortex methods ⋮ Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method ⋮ A novel multi-resolution technique for solving complex vorticity patterns in planar viscous flows past bodies through the DVH method ⋮ Algorithmic patterns for \(\mathcal {H}\)-matrices on many-core processors ⋮ A vortex particle-mesh method for subsonic compressible flows ⋮ Prediction on steady-oscillatory transition via Hopf bifurcation in a three-dimensional (3D) lid-driven cube ⋮ Fast multipole method applied to Lagrangian simulations of vortical flows

Uses Software

• CUDA
• PetRBF

Cites Work

• A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers
• PetRBF - A parallel \(O(N)\) algorithm for radial basis function interpolation with Gaussians
• Global field interpolation for particle methods
• Vortex methods for flow simulation
• A comparison of spectral and vortex methods in three-dimensional incompressible flows
• A fast adaptive multipole algorithm in three dimensions
• Calculation of isotropic turbulence using a pure Lagrangian vortex method
• Blending Finite-Difference and Vortex Methods for Incompressible Flow Computations
• A Convergent 3-D Vortex Method With Grid-Free Stretching
• Resurrecting Core Spreading Vortex Methods: A New Scheme that is Both Deterministic and Convergent
• Small-scale statistics in high-resolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics
• Numerical simulation of hydrodynamics by the method of point vortices

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