Projection methods for incompressible flow problems with WENO finite difference schemes

DOI10.1016/j.jcp.2015.12.041zbMath1351.76200OpenAlexW2220775545MaRDI QIDQ729512

Javier de Frutos, Julia Novo, Volker John

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.12.041

zbMATH Keywords

incompressible Navier-Stokes equationsfinite difference WENO schemesincremental projection methodsnon-incremental projection methodsPSPG-type stabilization

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (7)

Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem ⋮ An improved Arrow-Hurwicz method for the steady-state Navier-Stokes equations ⋮ Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations ⋮ A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system ⋮ An efficient split-step framework for non-Newtonian incompressible flow problems with consistent pressure boundary conditions ⋮ POD model order reduction with space-adapted snapshots for incompressible flows ⋮ Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization

Uses Software

• MooNMD
• UMFPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A numerical investigation of velocity-pressure reduced order models for incompressible flows
• A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees
• An efficient method for the incompressible Navier-Stokes equations on irregular domains with no-slip boundary conditions, high order up to the boundary
• On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations
• An adaptive finite element splitting method for the incompressible Navier-Stokes equations
• A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure
• Adaptive time step control for the incompressible Navier-Stokes equations
• MooNMD -- a program package based on mapped finite element methods
• Bifurcation analysis of incompressible flow in a driven cavity by the Newton-Picard method
• A second-order projection method for the incompressible Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Efficient implementation of weighted ENO schemes
• A comparison of time-discretization/linearization approaches for the incompressible Navier-Stokes equations
• An overview of projection methods for incompressible flows
• A fifth-order flux-implicit WENO method
• The 2D lid-driven cavity problem revisited
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Analysis of WENO Schemes for Full and Global Accuracy
• Time-dependent flow across a step: the slip with friction boundary condition
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
• On stability and convergence of projection methods based on pressure Poisson equation
• Higher-order finite element discretizations in a benchmark problem for incompressible flows
• Analysis of the Pressure Stabilized Petrov--Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions
• Algorithm 832
• Numerical Solution of the Navier-Stokes Equations
• Pressure stability in fractional step finite element methods for incompressible flows

This page was built for publication: Projection methods for incompressible flow problems with WENO finite difference schemes