Correct energy evolution of stabilized formulations: the relation between VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometric analysis. I: The convective-diffusive context
DOI10.1016/j.cma.2017.11.020zbMath1439.76098arXiv1711.08335OpenAlexW2770193067MaRDI QIDQ2310705
M. F. P. ten Eikelder, Ido Akkerman
Publication date: 6 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.08335
isogeometric analysisstabilized finite element methodsresidual-based variational multiscale methodcorrect-energy behaviordynamic orthogonal small-scales
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
- Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
- Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations
- Isogeometric analysis of free-surface flow
- A variational multiscale method for the large eddy simulation of compressible turbulent flows on unstructured meshes --application to vortex shedding
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method
- Residual-based variational multiscale simulation of free surface flows
- Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
- The role of continuity in residual-based variational multiscale modeling of turbulence
- Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
- A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
- A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods
- The variational multiscale method -- a paradigm for computational mechanics
- The continuous Galerkin method is locally conservative
- Finite element stabilization parameters computed from element matrices and vectors
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- Conservation properties for the Galerkin and stabilised forms of the advection--diffusion and incompressible Navier--Stokes equations
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- New directions and challenging computations in fluid dynamics modeling with stabilized and multiscale methods
- Sensitivity of the scale partition for variational multiscale large-eddy simulation of channel flow
- ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods