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Abstract
In this paper we analyze a stabilized finite element approximation for the incompressible Navier–Stokes equations based on the subgrid-scale concept. The essential point is that we explore the properties of the discrete formulation that results allowing the subgrid-scales to depend on time. This apparently “natural” idea avoids several inconsistencies of previous formulations and also opens the door to generalizations.
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Published on 01/01/2007
DOI: 10.1016/j.cma.2007.01.002
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 132
Crossref Cited-by Times cited: 139
OpenCitations.net Times cited: 64
OpenCitations.net - Citing documents:
- R. Codina, J. González‐Ondina, G. Díaz‐Hernández, J. Principe. Finite element approximation of the modified Boussinesq equations using a stabilized formulation. Int. J. Numer. Meth. Fluids 57(9) DOI 10.1002/fld.1718
- J. Principe, R. Codina. A numerical approximation of the thermal coupling of fluids and solids. Int. J. Numer. Meth. Fluids 59(11) DOI 10.1002/fld.1856
- E. Lins, R. Elias, G. Guerra, F. Rochinha, A. Coutinho. Edge-based finite element implementation of the residual-based variational multiscale method. Int. J. Numer. Meth. Fluids 61(1) DOI 10.1002/fld.1941
- H. Afrasiab, M. Movahhedy, A. Assempour. Fluid-structure interaction analysis in microfluidic devices: A dimensionless finite element approach. Int. J. Numer. Meth. Fluids 68(9) (2011) DOI 10.1002/fld.2592
- H. Afrasiab, M. Movahhedy. Treatment of the small time instability in the finite element analysis of fluid structure interaction problems. Int. J. Numer. Meth. Fluids 71(6) (2012) DOI 10.1002/fld.3684
- A. Masud, R. Calderer. Residual-based turbulence models for moving boundary flows: hierarchical application of variational multiscale method and three-level scale separation. Int. J. Numer. Meth. Fluids 73(3) (2013) DOI 10.1002/fld.3801
- G. Guerra, S. Zio, J. Camata, F. Rochinha, R. Elias, P. Paraizo, A. Coutinho. Numerical simulation of particle-laden flows by the residual-based variational multiscale method. Int. J. Numer. Meth. Fluids (2013) DOI 10.1002/fld.3820
- L. Chen, W. Edeling, S. Hulshoff. POD enriched boundary models and their optimal stabilisation. Int. J. Numer. Meth. Fluids 77(2) (2014) DOI 10.1002/fld.3977
- O. Guasch, P. Sánchez-Martín, A. Pont, J. Baiges, R. Codina. Residual-based stabilization of the finite element approximation to the acoustic perturbation equations for low Mach number aeroacoustics. Int. J. Numer. Meth. Fluids 82(12) (2016) DOI 10.1002/fld.4243
- P. Gao, J. Ouyang, P. Dai, W. Zhou. A coupled continuous and discontinuous finite element method for the incompressible flows. Int. J. Numer. Meth. Fluids 84(8) (2017) DOI 10.1002/fld.4358
- C. Bayona, J. Baiges, R. Codina. Variational multiscale approximation of the one-dimensional forced Burgers equation: The role of orthogonal subgrid scales in turbulence modeling. Int J Numer Meth Fluids 86(5) (2017) DOI 10.1002/fld.4420
- E. BURMAN, G. SMITH. ANALYSIS OF THE SPACE SEMI-DISCRETIZED SUPG METHOD FOR TRANSIENT CONVECTION–DIFFUSION EQUATIONS. Math. Models Methods Appl. Sci. 21(10) (2011) DOI 10.1142/s0218202511005659
- O. GUASCH, R. CODINA. COMPUTATIONAL AEROACOUSTICS OF VISCOUS LOW SPEED FLOWS USING SUBGRID SCALE FINITE ELEMENT METHODS. J. Comp. Acous. 17(03) (2011) DOI 10.1142/s0218396x09003975
- P. Gamnitzer, V. Gravemeier, W. Wall. Advances in Variational Multiscale Methods for Turbulent Flows. (2011) DOI 10.1007/978-90-481-9809-2_3
- R. Codina, J. Principe, S. Badia. Dissipative Structure and Long Term Behavior of a Finite Element Approximation of Incompressible Flows with Numerical Subgrid Scale Modeling. (2011) DOI 10.1007/978-90-481-9809-2_5
- S. Badia, R. Codina. Algebraic pressure segregation methods for the incompressible Navier-Stokes equations. ARCO 15(3) DOI 10.1007/bf03024946
- G. Guerra, S. Zio, J. Camata, J. Dias, R. Elias, M. Mattoso, P. B. Paraizo, A. G. A. Coutinho, F. Rochinha. Uncertainty quantification in numerical simulation of particle-laden flows. Comput Geosci 20(1) (2016) DOI 10.1007/s10596-016-9563-6
- E. Hachem, S. Feghali, R. Codina, T. Coupez. Immersed stress method for fluid-structure interaction using anisotropic mesh adaptation. Int. J. Numer. Meth. Engng 94(9) (2013) DOI 10.1002/nme.4481
- E. Hachem, S. Feghali, T. Coupez, R. Codina. A three-field stabilized finite element method for fluid-structure interaction: elastic solid and rigid body limit. Int. J. Numer. Meth. Engng 104(7) (2015) DOI 10.1002/nme.4972
- E. Burman, M. Fernández. Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis. SIAM J. Numer. Anal. 47(1) DOI 10.1137/070707403
- S. Badia, R. Codina, J. Gutiérrez-Santacreu. Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling. SIAM J. Numer. Anal. 48(3) DOI 10.1137/090766681
- S. Badia, R. Codina. A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions. SIAM J. Numer. Anal. 50(2) DOI 10.1137/110835360
- S. Badia, J. Baiges. Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations. SIAM J. Sci. Comput. 35(1) DOI 10.1137/120880732
- S. Badia, A. Hierro. On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems. SIAM J. Sci. Comput. 36(6) DOI 10.1137/130927206
- N. Vega Reyes, L. Cavaller, J. Marco de la Rosa, J. Baiges, A. Pont, D. Pérez-Sánchez, R. Codina, C. Grivel, M. Collados. Local seeing determination by thermal-CFD analysis to optimize the European Solar Telescope image quality. DOI 10.1117/12.2230564
- N. Ahmed, T. Rebollo, V. John, S. Rubino. Analysis of a Full Space–Time Discretization of the Navier–Stokes Equations by a Local Projection Stabilization Method. IMA J Numer Anal (2016) DOI 10.1093/imanum/drw048
- G. Barrenechea, E. Castillo, R. Codina. Time-dependent semidiscrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilized formulation. 39(2) (2018) DOI 10.1093/imanum/dry018
- J. Evans, C. Coley, R. Aronson, C. Wetterer-Nelson, Y. Bazilevs. Residual-Based Large Eddy Simulation with Isogeometric Divergence-Conforming Discretizations. (2018) DOI 10.1007/978-3-319-96469-0_3
- T. Hughes, G. Scovazzi, L. Franca. Multiscale and Stabilized Methods. (2017) DOI 10.1002/9781119176817.ecm051
- T. Hughes, G. Scovazzi, L. Franca. Multiscale and Stabilized Methods. (2017) DOI 10.1002/9781119176817.ecm2051
- J. de Frutos, B. García-Archilla, V. John, J. Novo. Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements. J Sci Comput 66(3) (2015) DOI 10.1007/s10915-015-0052-1
- S. Badia, J. Gutiérrez-Santacreu. Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling. J Sci Comput 71(1) (2016) DOI 10.1007/s10915-016-0304-8
- T. Chacón Rebollo, M. Gómez Mármol, F. Hecht, S. Rubino, I. Sánchez Muñoz. A High-Order Local Projection Stabilization Method for Natural Convection Problems. J Sci Comput 74(2) (2017) DOI 10.1007/s10915-017-0469-9
- S. Rodolfo Idelsohn, N. Marcelo Nigro, J. Marcelo Gimenez, R. Rossi, J. Marcelo Marti. A fast and accurate method to solve the incompressible Navier‐Stokes equations. Engineering Computations 30(2) DOI 10.1108/02644401311304854
- J. Principe, R. Codina. A stabilized finite element approximation of low speed thermally coupled flows. Int Jnl of Num Meth for HFF 18(7/8) DOI 10.1108/09615530810898980
- R. Codina, J. Principe, M. Ávila. Finite element approximation of turbulent thermally coupled incompressible flows with numerical sub‐grid scale modelling. Int Jnl of Num Meth for HFF 20(5) DOI 10.1108/09615531011048213
- N. Lafontaine, R. Rossi, M. Cervera, M. Chiumenti. Formulación mixta estabilizada explícita de elementos finitos para sólidos compresibles y quasi-incompresibles. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 33(1-2) DOI 10.1016/j.rimni.2015.09.003
- Y. Moulage, H. Ahn. THE ISOGEOMETRIC VARIATIONAL MULTISCALE METHOD FOR LAMINAR INCOMPRESSIBLE FLOW. Journal of the Korea Society for Industrial and Applied Mathematics 16(1) DOI 10.12941/jksiam.2012.16.1.065
- A. Pont, O. Guasch, J. Baiges, R. Codina, A. van Hirtum. Computational aeroacoustics to identify sound sources in the generation of sibilant /s/. Int J Numer Meth Biomed Engng 35(1) (2018) DOI 10.1002/cnm.3153
- V. John. The Time-Dependent Navier–Stokes Equations: Turbulent Flows. (2016) DOI 10.1007/978-3-319-45750-5_8
- M. Avila, R. Codina, J. Principe. Finite element dynamical subgrid-scale model for low Mach number flows with radiative heat transfer. Int Jnl of Num Meth for HFF 25(6) DOI 10.1108/hff-07-2014-0238
- C. Bayona Roa, J. Baiges, R. Codina. Variational multi-scale finite element approximation of the compressible Navier-Stokes equations. Int Jnl of Num Meth for HFF 26(3/4) DOI 10.1108/hff-11-2015-0483
- O. Guasch, A. Pont, J. Baiges, R. Codina. Simultaneous Finite Element Computation of Direct and Diffracted Flow Noise in Domains with Static and Moving Walls. (2018) DOI 10.1007/978-3-319-76780-2_12
- G. Houzeaux, J. Principe. A variational subgrid scale model for transient incompressible flows. International Journal of Computational Fluid Dynamics 22(3) DOI 10.1080/10618560701816387
- V. Jazarević, B. Rašuo. Numerical Calculation of Aerodynamic Noise Generated from an Aircraft in Low Mach Number Flight. (2017) DOI 10.1007/978-3-319-67202-1_9
- C. Coley, J. Evans. Variational multiscale modeling with discontinuous subscales: analysis and application to scalar transport. Meccanica 53(6) (2017) DOI 10.1007/s11012-017-0786-y
- S. Tran, O. Sahni. Large Eddy Simulation based on the Residual-based Variational Multiscale Method and Lagrangian Dynamic Smagorinsky Model. (2016) DOI 10.2514/6.2016-0341
- T. Chacón Rebollo, R. Lewandowski. Finite Element Approximation of the Steady Smagorinsky Model. (2014) DOI 10.1007/978-1-4939-0455-6_9
- Y. Motlagh, E. Lee, H. Ahn. Simulation of laminar flow through eccentric annuli using isogeometric variational multiscale method. J Mech Sci Technol 29(8) (2015) DOI 10.1007/s12206-015-0723-8
- S. Tran, O. Sahni. Finite element-based large eddy simulation using a combination of the variational multiscale method and the dynamic Smagorinsky model. Journal of Turbulence 18(5) (2017) DOI 10.1080/14685248.2017.1280607
- T. Chacón Rebollo, S. Fernández-García. On the computation of the stabilized coefficients for the 1D spectral VMS method. SeMA 75(4) (2018) DOI 10.1007/s40324-018-0153-5
- T. Miras, J. Camata, R. Elias, J. Alves, F. Rochinha, A. Coutinho. A staggered procedure for fluid–object interaction with free surfaces, large rotations and driven by adaptive time stepping. J Braz. Soc. Mech. Sci. Eng. 40(4) (2018) DOI 10.1007/s40430-018-1147-z
- R. Reyes, R. Codina, J. Baiges, S. Idelsohn. Reduced order models for thermally coupled low Mach flows. Adv. Model. and Simul. in Eng. Sci. 5(1) (2018) DOI 10.1186/s40323-018-0122-7
- R. Codina. Finite Element Approximation of the Convection-Diffusion Equation: Subgrid-Scale Spaces, Local Instabilities and Anisotropic Space-Time Discretizations. (2011) DOI 10.1007/978-3-642-19665-2_10
- S. Badia, R. Codina. Algebraic Pressure Segregation Methods for the Incompressible Navier-Stokes Equations. Arch Computat Methods Eng 15(3) (2008) DOI 10.1007/s11831-008-9020-3
- C. de Saracibar, M. Chiumenti, M. Cervera, N. Dialami, A. Seret. Computational Modeling and Sub-Grid Scale Stabilization of Incompressibility and Convection in the Numerical Simulation of Friction Stir Welding Processes. Arch Computat Methods Eng 21(1) (2014) DOI 10.1007/s11831-014-9094-z
- S. Badia, R. Codina, R. Planas. Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. Arch Computat Methods Eng 22(4) (2014) DOI 10.1007/s11831-014-9129-5
- N. Ahmed, T. Chacón Rebollo, V. John, S. Rubino. A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows. Arch Computat Methods Eng 24(1) (2015) DOI 10.1007/s11831-015-9161-0
- U. Rasthofer, V. Gravemeier. Recent Developments in Variational Multiscale Methods for Large-Eddy Simulation of Turbulent Flow. Arch Computat Methods Eng 25(3) (2017) DOI 10.1007/s11831-017-9209-4
- I. Akkerman, Y. Bazilevs, V. Calo, T. Hughes, S. Hulshoff. The role of continuity in residual-based variational multiscale modeling of turbulence. Comput Mech 41(3) (2007) DOI 10.1007/s00466-007-0193-7
- E. Lins, R. Elias, F. Rochinha, A. Coutinho. Residual-based variational multiscale simulation of free surface flows. Comput Mech 46(4) (2010) DOI 10.1007/s00466-010-0495-z
- L. Yang, S. Badia, R. Codina. A pseudo-compressible variational multiscale solver for turbulent incompressible flows. Comput Mech 58(6) (2016) DOI 10.1007/s00466-016-1332-9
- E. Castillo, M. Cruchaga, J. Baiges, J. Flores. An oil sloshing study: adaptive fixed-mesh ALE analysis and comparison with experiments. Comput Mech 63(5) (2018) DOI 10.1007/s00466-018-1633-2
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