Fourier continuation method for incompressible fluids with boundaries
From MaRDI portal
Publication:6040142
DOI10.1016/j.cpc.2020.107482zbMath1525.65101arXiv2002.01392OpenAlexW3005507240MaRDI QIDQ6040142
Mauro Fontana, Oscar P. Bruno, Pablo D. Mininni, Pablo Dmitruk
Publication date: 24 May 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.01392
Navier-Stokes equationsimulationsspectral methodsFourier continuationnon-periodic boundary conditionsexplicit time-stepping
Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
A Fourier-based methodology without numerical diffusion for conducting dye simulations and particle residence time calculations, Vector potential-based MHD solver for non-periodic flows using Fourier continuation expansions, Spectrally accurate solutions to inhomogeneous elliptic PDE in smooth geometries using function intension
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spatially dispersionless, unconditionally stable FC-AD solvers for variable-coefficient PDEs
- A spectral FC solver for the compressible Navier-Stokes equations in general domains. I: Explicit time-stepping
- An FC-based spectral solver for elastodynamic problems in general three-dimensional domains
- Higher-order in time ``quasi-unconditionally stable ADI solvers for the compressible Navier-Stokes equations in 2D and 3D curvilinear domains
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- A Fourier spectral method for the Navier-Stokes equations with volume penalization for moving solid obstacles
- A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
- Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Boundary conditions for incompressible flows
- Spatial resolution requirements for direct numerical simulation of the Rayleigh-Benard convection
- Compact finite difference schemes with spectral-like resolution
- Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers
- High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements
- Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): object-oriented \(h\)-adaptive fluid dynamics simulation
- Flow patterns around heart valves: A numerical method
- Turbulence in Rotating, Stratified and Electrically Conducting Fluids
- Numerical study of magnetohydrodynamic duct flow at high Reynolds and Hartmann numbers
- Small-Scale Properties of Turbulent Rayleigh-Bénard Convection
- A Fast Algorithm for Fourier Continuation
- Magnetohydrodynamic activity inside a sphere
- Direct numerical simulation of turbulent channel flow up to Reτ=590
- Turbulent thermal convection at high Rayleigh numbers for a Boussinesq fluid of constant Prandtl number
- Transition to turbulence in plane Poiseuille and plane Couette flow
- Mean-flow scaling of turbulent pipe flow
- Tertiary and quaternary solutions for plane Couette flow
- B-spline Methods in Fluid Dynamics
- Recent Developments in Rayleigh-Bénard Convection
- Turbulent Flows
- High-Order Methods for Incompressible Fluid Flow
- Experimental study of the instability of the Hartmann layer
- Turbulence statistics in fully developed channel flow at low Reynolds number
- Spectral Methods
- An Algorithm for the Machine Calculation of Complex Fourier Series
- Numerical Methods for the Simulation of Turbulence
- The Onset of Turbulence in Pipe Flow
- A critical evaluation of the resolution properties of B-spline and compact finite difference methods
