A massively parallel fractional step solver for incompressible flows
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Publication:843493
DOI10.1016/j.jcp.2009.05.019zbMath1261.76030OpenAlexW2042789858WikidataQ59200292 ScholiaQ59200292MaRDI QIDQ843493
Guillaume Houzeaux, Mariano Vázquez, Romain Aubry, José María Cela
Publication date: 12 October 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.05.019
Navier-Stokes equationsparallel implementationpredictor-corrector schemehigh performance computingstabilized finite elementfractional methodsincremental projection scheme
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)
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Cites Work
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- Extension of fractional step techniques for incompressible flows: the preconditioned Orthomin(1) for the pressure Schur complement
- An analysis of the fractional step method
- Approximation of the incompressible Navier-Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes
- Compressible and incompressible flow: An algorithm for all seasons
- Algebraic pressure segregation methods for the incompressible Navier-Stokes equations
- Application of a fractional-step method to incompressible Navier-Stokes equations
- An efficient algebraic multigrid preconditioned conjugate gradient solver.
- Factorization methods for the numerical approximation of Navier-Stokes equations
- Stopping criteria for iterations in finite element methods
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- Improving the speed and accuracy of projection-type incompressible flow solvers
- Deflated preconditioned conjugate gradient solvers for the pressure-Poisson equation
- A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations
- A numerical method for solving incompressible viscous flow problems
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Deflation of Conjugate Gradients with Applications to Boundary Value Problems
- A Multilevel Algorithm for Mixed Problems
- A variational subgrid scale model for transient incompressible flows
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- Some fast 3D finite element solvers for the generalized Stokes problem
- Algebraic multigrid methods for the solution of the Navier-Stokes equations in complicated geometries
- A general algorithm for compressible and incompressible flows. Part III: The semi-implicit form
- Iterative Krylov Methods for Large Linear Systems
- Some implementations of projection methods for Navier-Stokes equations
- On the Construction and Comparison of Difference Schemes
- Numerical Solution of the Navier-Stokes Equations
