A scalable parallel Poisson solver for three-dimensional problems with one periodic direction
From MaRDI portal
Publication:435569
DOI10.1016/j.compfluid.2009.10.005zbMath1242.76203OpenAlexW2088842434WikidataQ61735158 ScholiaQ61735158MaRDI QIDQ435569
Publication date: 11 July 2012
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2009.10.005
direct numerical simulationparallel Poisson solverSchur complement methodpreconditioned conjugate gradient
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)
Related Items
HPC\(^2\) -- a fully-portable, algebra-based framework for heterogeneous computing. Application to CFD, Simulations of laminar and turbulent flows over periodic hills with immersed boundary method, A parallel MPI+OpenMP+OpenCL algorithm for hybrid supercomputations of incompressible flows, Hybrid MPI + OpenMP parallelization of an FFT-based 3D Poisson solver with one periodic direction, Parameter-free symmetry-preserving regularization modeling of a turbulent differentially heated cavity, Numerical simulation of turbulence at lower costs: regularization modeling, A parallel multilevel preconditioned iterative pressure Poisson solver for the large-eddy simulation of turbulent flow inside a duct, Parallel direct Poisson solver for discretisations with one Fourier diagonalisable direction, Direct numerical simulation of a differentially heated cavity of aspect ratio 4 with Rayleigh numbers up to \(10^{11}\). I: Numerical methods and time-averaged flow, A hierarchical parallel implementation for heterogeneous computing. Application to algebra-based CFD simulations on hybrid supercomputers, Spectrally-consistent regularization of Navier-Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parameter-free symmetry-preserving regularization modeling of a turbulent differentially heated cavity
- Application of a fractional-step method to incompressible Navier-Stokes equations
- A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
- Parallel Schur complement method for large-scale systems on distributed memory computers
- Large eddy simulation of turbulent flow past a square cylinder confined in a channel.
- Efficient treatment of complex geometries for large eddy simulations of turbulent flows.
- Symmetry-preserving discretization of turbulent flow.
- Direct numerical simulation of a differentially heated cavity of aspect ratio 4 with Rayleigh numbers up to \(10^{11}\). I: Numerical methods and time-averaged flow
- Direct numerical simulation of a differentially heated cavity of aspect ratio 4 with Rayleigh numbers up to \(10^{11}\). II: Heat transfer and flow dynamics
- The Schur complement method as a fast parallel solver for elliptic partial differential equations in oceanography
- A direct Schur–Fourier decomposition for the efficient solution of high-order Poisson equations on loosely coupled parallel computers
- Direct numerical simulations of two-dimensional chaotic natural convection in a differentially heated cavity of aspect ratio 4
- Direct numerical simulations of two- and three-dimensional turbulent natural convection flows in a differentially heated cavity of aspect ratio 4
- A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
- Numerical Solution of the Navier-Stokes Equations
- Stability of pressure boundary conditions for Stokes and Navier-Stokes equations
