Proper general decomposition (PGD) for the resolution of Navier-Stokes equations
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Publication:630378
DOI10.1016/j.jcp.2010.11.010zbMath1391.76099OpenAlexW2153235652MaRDI QIDQ630378
A. Dumon, Cyrille Allery, Amine Ammar
Publication date: 17 March 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.010
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)
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Cites Work
- Unnamed Item
- On the convergence of a greedy rank-one update algorithm for a class of linear systems
- Experimental and numerical POD study of the Coanda effect used to reduce self-sustained tones
- Non incremental strategies based on separated representations: applications in computational rheology
- The LATIN multiscale computational method and the proper generalized decomposition
- A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations
- An error estimator for separated representations of highly multidimensional models
- A priori hyperreduction method: an adaptive approach
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. II: Transient simulation using space-time separated representations
- Further improvement and analysis of CCD scheme: dissipation discretization and de-aliasing properties
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
- Generalized spectral decomposition for stochastic nonlinear problems
- Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- Solving Navier-Stokes equation for flow past cylinders using single-block structured and overset grids
- On a multiscale computational strategy with time and space homogenization for structural mechanics.
- Factorization methods for the numerical approximation of Navier-Stokes equations
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Grid generation and optimization based on centroidal Voronoi tessellations
- An efficient `a priori' model reduction for boundary element models
- An overview of projection methods for incompressible flows
- POD and CVT-based reduced-order modeling of Navier-Stokes flows
- An a priori model reduction method for thermomechanical problems.
- On the reduction of kinetic theory models related to finitely extensible dumbbells
- The 2D lid-driven cavity problem revisited
- Computational Methods for Fluid Dynamics
- Coupling finite elements and reduced approximation bases
- Reduced-order modelling for solving linear and non-linear equations
- Proper generalized decomposition of multiscale models
- Recent advances on the use of separated representations
- Turbulence and the dynamics of coherent structures. I. Coherent structures
