TL;DR
PoisFFT is a free, parallel software package that efficiently solves the Poisson equation using FFT on uniform grids, applicable to spectral and finite difference methods, with demonstrated use in incompressible flow simulations.
Contribution
This paper introduces PoisFFT, a novel open-source parallel solver for the Poisson equation utilizing FFT, with implementation details and application in flow simulations.
Findings
Efficient parallel Poisson solver using FFT
Supports spectral and finite difference methods
Demonstrated in incompressible flow simulations
Abstract
A fast Poisson solver software package PoisFFT is presented. It is available as a free software licensed under the GNU GPL license version 3. The package uses the fast Fourier transform to directly solve the Poisson equation on a uniform orthogonal grid. It can solve the pseudo-spectral approximation and the second order finite difference approximation of the continuous solution. The paper reviews the mathematical methods for the fast Poisson solver and discusses the software implementation and parallelization. The use of PoisFFT in an incompressible flow solver is also demonstrated.
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