Improved Accuracy in Algebraic Splitting Methods for Navier--Stokes Equations
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Publication:5350217
DOI10.1137/16M1061424zbMath1420.35198MaRDI QIDQ5350217
Publication date: 28 August 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (13)
Data-Driven Filtered Reduced Order Modeling of Fluid Flows ⋮ Energy balance and mass conservation in reduced-order models of fluid flows ⋮ Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems ⋮ Removing Splitting/Modeling Error in Projection/Penalty Methods for Navier-Stokes Simulations with Continuous Data Assimilation ⋮ Defect correcting extrapolation technique for Oseen and Navier-Stokes flows ⋮ Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations ⋮ Numerical Analysis of a Projection-Based Stabilized POD-ROM for Incompressible Flows ⋮ High-order finite element methods for a pressure Poisson equation reformulation of the Navier-Stokes equations with electric boundary conditions ⋮ Data-driven variational multiscale reduced order models ⋮ Commutation error in reduced order modeling of fluid flows ⋮ Analysis of algebraic Chorin temam splitting for incompressible NSE and comparison to Yosida methods ⋮ Verifiability of the data-driven variational multiscale reduced order model ⋮ New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
Uses Software
Cites Work
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- Analysis of a reduced-order approximate deconvolution model and its interpretation as a Navier-Stokes-Voigt regularization
- Error analysis of a projection method for the Navier-Stokes equations with Coriolis force
- Adaptive time step control for the incompressible Navier-Stokes equations
- An analysis of the fractional step method
- A fast preconditioner for the incompressible Navier-Stokes equations
- Efficient solvers for incompressible flow problems. An algorithmic and computational approach
- Analysis of the Yosida method for the incompressible Navier-Stokes equations
- Algebraic splitting for incompressible Navier-Stokes equations
- An overview of projection methods for incompressible flows
- ALADINS: an ALgebraic splitting time ADaptive solver for the Incompressible Navier-Stokes equations
- Algebraic fractional-step schemes with spectral methods for the incompressible Navier--Stokes equations
- A finite element penalty-projection method for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Quelques résultats nouveaux sur les méthodes de projection
- Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements
- Finite Elements and Fast Iterative Solvers
- On the accuracy of the viscous form in simulations of incompressible flow problems
- ℋ︁-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems
- Iterative Methods for Linear Systems
- ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier--Stokes Equations
- Convergence Analysis of High Order Algebraic Fractional Step Schemes for Time-Dependent Stokes Equations
- Direct numerical simulation of turbulent channel flow up to Reτ=590
- A Note on the Consistency and Stability Properties of Yosida Fractional Step Schemes for the Unsteady Stokes Equations
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- Some fast 3D finite element solvers for the generalized Stokes problem
- Velocity-Correction Projection Methods for Incompressible Flows
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- Efficient augmented Lagrangian‐type preconditioning for the Oseen problem using Grad‐Div stabilization
- Spectral Methods
- On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier–Stokes Equations
- Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- An Augmented Lagrangian‐Based Approach to the Oseen Problem
- Simulations of the turbulent channel flow at Reτ = 180 with projection‐based finite element variational multiscale methods
- Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence
- Numerical Solution of the Navier-Stokes Equations
- AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
- Pressure Correction Algebraic Splitting Methods for the Incompressible Navier--Stokes Equations
- Accurate projection methods for the incompressible Navier-Stokes equations
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