Fast immersed interface Poisson solver for 3D unbounded problems around arbitrary geometries

DOI10.1016/j.jcp.2017.10.042zbMath1380.65410OpenAlexW2765405123WikidataQ59937517 ScholiaQ59937517MaRDI QIDQ1700744

Grégoire Winckelmans, Philippe Chatelain, T. Gillis

Publication date: 22 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.10.042

zbMATH Keywords

immersed interface methodSherman-Morrison-Woodbury formulalattice Green's function methodunbounded 3D Poisson equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

Parallel implementation of a viscous vorticity equation (VISVE) method in 3-D laminar flow ⋮ A method of immersed layers on Cartesian grids, with application to incompressible flows ⋮ A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains ⋮ Planar potential flow on Cartesian grids ⋮ The immersed interface method for Helmholtz equations with degenerate diffusion ⋮ An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies ⋮ A sharp immersed method for 2D flow-body interactions using the vorticity-velocity Navier-Stokes equations ⋮ Lattice Green’s Functions for High-Order Finite Difference Stencils ⋮ A 2D immersed interface vortex particle-mesh method ⋮ A Method for Solving an Exterior Boundary Value Problem for the Laplace Equation by Overlapping Domain Decomposition ⋮ FLUPS: A Fourier-Based Library of Unbounded Poisson Solvers

Uses Software

• PPM
• DLMF
• algorithm 577

Cites Work

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