A splitting technique of higher order for the Navier-Stokes equations

DOI10.1016/j.cam.2008.09.028zbMath1162.76028OpenAlexW2004498454MaRDI QIDQ1019809

Jörg Frochte, Wilhelm Heinrichs

Publication date: 28 May 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.09.028

zbMATH Keywords

preconditioningfinite element methodspostprocessingrecovery technique

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries ⋮ Adaptive time-step with anisotropic meshing for incompressible flows ⋮ Immersed stress method for fluid-structure interaction using anisotropic mesh adaptation ⋮ A sixth-order finite volume scheme for the steady-state incompressible Stokes equations on staggered unstructured meshes

Uses Software

• UMFPACK
• FEATFLOW

Cites Work

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• Finite difference schemes for incompressible flow based on local pressure boundary conditions
• Stability of multistep-methods on variable grids
• High-order splitting methods for the incompressible Navier-Stokes equations
• Efficient solvers for incompressible flow problems. An algorithmic and computational approach
• A new class of truly consistent splitting schemes for incompressible flows
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Benchmark spectral results on the lid-driven cavity flow
• An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow
• An overview of projection methods for incompressible flows
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• Splitting Techniques for the Unsteady Stokes Equations
• Parallel Preconditioning with Sparse Approximate Inverses
• Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
• A second order splitting algorithm for thermally‐driven flow problems
• Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations
• Algorithm 832
• AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
• Splitting techniques with staggered grids for the Navier-Stokes equations in the 2D case