Fast Fourier transforms for direct solution of Poisson's equation with staggered boundary conditions

DOI10.1016/0021-9991(88)90102-7zbMath0642.65070OpenAlexW2053513044MaRDI QIDQ1101191

Publication date: 1988

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

Full work available at URL: https://elib.dlr.de/53401/1/schu-88.pdf

zbMATH Keywords

fast Fourier transform finite difference approximations staggered grid multi-dimensional Poisson's equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Parallel solution of tridiagonal systems for the Poisson equation, A numerical modelling of gas exchange mechanisms between air and turbulent water with an aquarium chemical reaction, Reprint of: A numerical modelling of gas exchange mechanisms between air and turbulent water with an aquarium chemical reaction, Numerical simulation of liquid-metal MHD flows in rectangular ducts, Spline-based DQM for multi-dimensional PDEs: application to biharmonic and Poisson equations in 2D and 3D, Unconditionally energy stable schemes for an electrohydrodynamic model of charge transport in dielectric liquids, \texttt{PittPack}: an open-source Poisson's equation solver for extreme-scale computing with accelerators, FluTAS: a GPU-accelerated finite difference code for multiphase flows, How electrostatic forces affect particle behaviour in turbulent channel flows, Towards pseudo-spectral incompressible smoothed particle hydrodynamics (ISPH), A FFT-accelerated multi-block finite-difference solver for massively parallel simulations of incompressible flows, Adjoint algorithms for the Navier-Stokes equations in the low Mach number limit, High-performance modeling acoustic and elastic waves using the parallel dichotomy algorithm, An efficient mass-preserving interface-correction level set/ghost fluid method for droplet suspensions under depletion forces, A FFT-based finite-difference solver for massively-parallel direct numerical simulations of turbulent flows, Direct numerical simulation of vortex structures and turbulent scalar transfer across a free surface in a fully developed turbulence, FFT-based high order central difference schemes for Poisson's equation with staggered boundaries, PoisFFT -- a free parallel fast Poisson solver, Large eddy simulation of a plane turbulent wall jet, Statistical analysis of coherent vortices near a free surface in a fully developed turbulence, A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation, An interface capturing method for liquid-gas flows at low-Mach number, Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides, A numerical study of heat island flows: Stationary solutions, A Lagrangian-Eulerian mapping solver for direct numerical simulation of bubble-laden turbulent shear flows using the two-fluid formulation, FFT-based high order central difference schemes for three-dimensional Poisson's equation with various types of boundary conditions, A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system, Large eddy simulations of a spatially developing incompressible 3D mixing layer using the \(\mathbf v-{\omega}\) formulation, Evaporating Rayleigh–Bénard convection: prediction of interface temperature and global heat transfer modulation

Cites Work