An efficient multi-scale Poisson solver for the incompressible Navier-Stokes equations with immersed boundaries

DOI10.1016/j.jcp.2009.03.032zbMath1165.76030OpenAlexW2058390270MaRDI QIDQ1028259

Giuseppe Bonfigli, Patrick Jenny

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.03.032

zbMATH Keywords

immersed-interface methoditerative finite volume procedure

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (9)

Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media ⋮ Adaptive algebraic multiscale solver for compressible flow in heterogeneous porous media ⋮ Algebraic dynamic multilevel (ADM) method for fully implicit simulations of multiphase flow in porous media ⋮ Local-global splitting for spatiotemporal-adaptive multiscale methods ⋮ Adaptive iterative multiscale finite volume method ⋮ A hierarchical fracture model for the iterative multiscale finite volume method ⋮ Spatiotemporal adaptive multiphysics simulations of drainage-imbibition cycles ⋮ Algebraic multiscale method for flow in heterogeneous porous media with embedded discrete fractures (F-AMS) ⋮ Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions

Cites Work

• The immersed interface method for simulating prescribed motion of rigid objects in an incompressible viscous flow
• Derivation and validation of a novel implicit second-order accurate immersed boundary method
• Iterative multiscale finite-volume method
• Application of a fractional-step method to incompressible Navier-Stokes equations
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
• A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
• Modeling a no-slip flow boundary with an external force field
• Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
• Multiscale finite-volume method for compressible multiphase flow in porous media
• Flow patterns around heart valves: A numerical method
• Experiments on the flow past a circular cylinder at low Reynolds numbers
• Pressure boundary condition for the time-dependent incompressible Navier–Stokes equations
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• High-order stable interpolations for immersed boundary methods
• Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
• The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Finite Volume Methods for Hyperbolic Problems

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