Sub-iteration leads to accuracy and stability enhancements of semi-implicit schemes for the Navier-Stokes equations

DOI10.1016/j.jcp.2011.01.011zbMath1416.76093OpenAlexW1996008218MaRDI QIDQ550883

Hyoungsu Baek, George Em. Karniadakis

Publication date: 13 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.01.011

zbMATH Keywords

unconditional stabilityspectral elementspulsatile flowAitken iteration

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

An energy-stable scheme for incompressible Navier-Stokes equations with periodically updated coefficient matrix ⋮ GePUP: generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions ⋮ Comparison of sharp and smoothed interface methods for simulation of particulate flows. II: Inertial and added mass effects ⋮ On efficient high-order semi-implicit time-stepping schemes for unsteady incompressible Navier-Stokes equations ⋮ Generalized fictitious methods for fluid-structure interactions: analysis and simulations ⋮ Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction ⋮ A gPAV-based unconditionally energy-stable scheme for incompressible flows with outflow/open boundaries ⋮ A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping ⋮ Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction ⋮ Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable ⋮ New Unconditionally Stable Schemes for the Navier-Stokes Equations ⋮ Iterated pressure-correction projection methods for the unsteady incompressible Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows
• Fixed-point fluid-structure interaction solvers with dynamic relaxation
• Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies
• High-order splitting methods for the incompressible Navier-Stokes equations
• A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations.
• Numerical evaluation of the accuracy and stability properties of high-order direct Stokes solvers with or without temporal splitting
• An unconditionally stable rotational velocity-correction scheme for incompressible flows
• The Physics of Pulsatile Flow
• Frequency selection and asymptotic states in laminar wakes
• An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
• Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations
• A direct numerical simulation study of flow past a freely vibrating cable
• Velocity-Correction Projection Methods for Incompressible Flows
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations
• A version of the Aitken accelerator for computer iteration
• Low-energy basis preconditioning for elliptic substructured solvers based on unstructured spectral/\(hp\) element discretization