Citations (44)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (2)
DenisF. Hinz, Tae-Yeon Kim, JamesJ. Riley & Eliot Fried. (2013) A-priori testing of alpha regularisation models as subgrid-scale closures for large-eddy simulations. Journal of Turbulence 14:6, pages 1-20.
Read now
Read now
AbhilashJ. Chandy & StevenH. Frankel. (2009) Regularization-based sub-grid scale (SGS) models for large eddy simulations (LES) of high-Re decaying isotropic turbulence. Journal of Turbulence 10.
Read now
Read now
Articles from other publishers (42)
DeHua Duan. (2023) ON THE CONVERGENCE OF 3D LERAY-α EQUATIONS WITH NAVIER SLIP BOUNDARY CONDITIONS. Rocky Mountain Journal of Mathematics 53:4.
Crossref
Crossref
Daniel W. Boutros & Edriss S. Titi. (2023)
Onsager’s conjecture for subgrid scale
-models of turbulence
. Physica D: Nonlinear Phenomena 443, pages 133553.
Crossref
Crossref
Nan Chen, Aseel Farhat & Evelyn Lunasin. (2023) Data assimilation with model error: Analytical and computational study for Sabra shell model. Physica D: Nonlinear Phenomena 443, pages 133552.
Crossref
Crossref
Yannan Wang, Lingling Cao, Zhongfu Cheng, Bart Blanpain & Muxing Guo. (2021) Mathematical Methodology and Metallurgical Application of Turbulence Modelling: A Review. Metals 11:8, pages 1297.
Crossref
Crossref
Yonghong Duan & Xiaojuan Chai. (2021) Asymptotic Behavior of the Solutions of the Generalized Globally Modified Navier–Stokes Equations. Discrete Dynamics in Nature and Society 2021, pages 1-16.
Crossref
Crossref
Luca Bisconti & Davide Catania. (2021) On the convergence rates for the three‐dimensional filtered Boussinesq equations. Mathematische Nachrichten 294:6, pages 1099-1114.
Crossref
Crossref
Vu Manh Toi. (2021) Stability and stabilization for the three-dimensional Navier-Stokes-Voigt equations with unbounded variable delay. Evolution Equations & Control Theory 10:4, pages 1007.
Crossref
Crossref
Luca Bisconti. (2020) Remark on a Regularity Criterion in Terms of Pressure for the 3D Inviscid Boussinesq–Voigt Equations. Differential Equations and Dynamical Systems.
Crossref
Crossref
Sidharth Gs. (2020) A multiscale subgrid decomposition. A multiscale subgrid decomposition.
A. V. Zvyagin, V. G. Zvyagin & D. M. Polyakov. (2019) Dissipative Solvability of an Alpha Model of Fluid Flow with Memory. Computational Mathematics and Mathematical Physics 59:7, pages 1185-1198.
Crossref
Crossref
Aibin Zang. (2018) Uniform time of existence of the smooth solution for 3D Euler-α equations with periodic boundary conditions. Mathematical Models and Methods in Applied Sciences 28:10, pages 1881-1897.
Crossref
Crossref
Roger Lewandowski & Luigi C. Berselli. (2018) On the Bardina’s Model in the Whole Space. Journal of Mathematical Fluid Mechanics 20:3, pages 1335-1351.
Crossref
Crossref
Luca Bisconti & Davide Catania. (2017) Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region. Communications on Pure & Applied Analysis 16:5, pages 1861-1881.
Crossref
Crossref
V V Chepyzhov. (2016) Approximating the trajectory attractor of the 3D Navier-Stokes system using various $ \alpha$-models of fluid dynamics. Sbornik: Mathematics 207:4, pages 610-638.
Crossref
Crossref
Владимир Викторович Чепыжов & Vladimir Victorovich Chepyzhov. (2016) Об аппроксимации траекторного аттрактора 3D системы Навье - Стокса различными $\alpha$-моделями гидродинамикиOn approximation of the trajectory attractor for 3D Navier - Stokes system by various hydrodynamic alpha-models. Математический сборник Matematicheskii Sbornik 207:4, pages 143-172.
Crossref
Crossref
Mohammad Abu Hamed, Yanqiu Guo & Edriss S. Titi. (2015) Inertial Manifolds for Certain Subgrid-Scale $\alpha$-Models of Turbulence. SIAM Journal on Applied Dynamical Systems 14:3, pages 1308-1325.
Crossref
Crossref
Dmitry Polyakov & Andrey Zvyagin. On dissipative solutions of the Jeffreys-Oldroyt-alpha equation. On dissipative solutions of the Jeffreys-Oldroyt-alpha equation.
C.D. Argyropoulos & N.C. Markatos. (2015) Recent advances on the numerical modelling of turbulent flows. Applied Mathematical Modelling 39:2, pages 693-732.
Crossref
Crossref
John D Gibbon, Diego A Donzis, Anupam Gupta, Robert M Kerr, Rahul Pandit & Dario Vincenzi. (2014) Regimes of nonlinear depletion and regularity in the 3D Navier–Stokes equations. Nonlinearity 27:10, pages 2605-2625.
Crossref
Crossref
Chun Shen. (2014) On a regularization of a scalar conservation law with discontinuous coefficients. Journal of Mathematical Physics 55:3.
Crossref
Crossref
David Barbato, Hakima Bessaih & Benedetta Ferrario. (2014)
On a stochastic Leray-
model of Euler equations
. Stochastic Processes and their Applications 124:1, pages 199-219.
Crossref
Crossref
Tomás Chacón Rebollo & Roger LewandowskiTomás Chacón Rebollo & Roger Lewandowski. 2014. Mathematical and Numerical Foundations of Turbulence Models and Applications. Mathematical and Numerical Foundations of Turbulence Models and Applications
247
316
.
Eric T. Chung & Jeff C.-F. Wong. (2015) A TV-Based Iterative Regularization Method for the Solutions of Thermal Convection Problems. Communications in Computational Physics 14:4, pages 1120-1146.
Crossref
Crossref
Luigi C. Berselli. (2012) Analysis of a Large Eddy Simulation model based on anisotropic filtering. Journal of Mathematical Analysis and Applications 386:1, pages 149-170.
Crossref
Crossref
Luigi C. Berselli & Luca Bisconti. (2012) On the structural stability of the Euler–Voigt and Navier–Stokes–Voigt models. Nonlinear Analysis: Theory, Methods & Applications 75:1, pages 117-130.
Crossref
Crossref
Luigi C. Berselli, Paul F. Fischer, Traian Iliescu & Tamay M. Özgökmen. (2011) Horizontal Large Eddy Simulation of Stratified Mixing in a Lock-Exchange System. Journal of Scientific Computing 49:1, pages 3-20.
Crossref
Crossref
Jonathan Pietarila Graham, Darryl D. Holm, Pablo Mininni & Annick Pouquet. (2010) The Effect of Subfilter-Scale Physics on Regularization Models. Journal of Scientific Computing 49:1, pages 21-34.
Crossref
Crossref
Tae-Yeon Kim, John E. Dolbow & Eliot Fried. (2011) The Navier–Stokes-αβ equations as a platform for a spectral multigrid method to solve the Navier–Stokes equations. Computers & Fluids 44:1, pages 102-110.
Crossref
Crossref
Марко Иосифович Вишик, Marko Iosifovich Vishik, Владимир Викторович Чепыжов & Vladimir Victorovich Chepyzhov. (2011) Траекторные аттракторы уравнений математической физикиTrajectory attractors of equations of mathematical physics. Успехи математических наук Uspekhi Matematicheskikh Nauk 66:4, pages 3-102.
Crossref
Crossref
Jonathan Pietarila Graham, Darryl Holm, Pablo Mininni & Annick Pouquet. 2011. Quality and Reliability of Large-Eddy Simulations II. Quality and Reliability of Large-Eddy Simulations II
411
420
.
Claude Bardos, Edriss S. Titi & Jasmine S. Linshiz. (2009) Global regularity and convergence of a Birkhoff‐Rott‐α approximation of the dynamics of vortex sheets of the two‐dimensional Euler equations. Communications on Pure and Applied Mathematics 63:6, pages 697-746.
Crossref
Crossref
Jonathan Pietarila Graham, Pablo D. Mininni & Annick Pouquet. (2009) Lagrangian-averaged model for magnetohydrodynamic turbulence and the absence of bottlenecks. Physical Review E 80:1.
Crossref
Crossref
Tamay M. Özgökmen, Traian Iliescu & Paul F. Fischer. (2009) Reynolds number dependence of mixing in a lock-exchange system from direct numerical and large eddy simulations. Ocean Modelling 30:2-3, pages 190-206.
Crossref
Crossref
Tamay M. Özgökmen, Traian Iliescu & Paul F. Fischer. (2009) Large eddy simulation of stratified mixing in a three-dimensional lock-exchange system. Ocean Modelling 26:3-4, pages 134-155.
Crossref
Crossref
Xuemei Chen & Eliot Fried. (2008)
Influence of the dispersive and dissipative scales
and
on the energy spectrum of the Navier-Stokes
equations
. Physical Review E 78:4.
Crossref
Crossref
Evelyn Lunasin, Susan Kurien & Edriss S Titi. (2008) Spectral scaling of the Leray-α model for two-dimensional turbulence. Journal of Physics A: Mathematical and Theoretical 41:34, pages 344014.
Crossref
Crossref
Bernard J Geurts, Arkadiusz K Kuczaj & Edriss S Titi. (2008) Regularization modeling for large-eddy simulation of homogeneous isotropic decaying turbulence. Journal of Physics A: Mathematical and Theoretical 41:34, pages 344008.
Crossref
Crossref
Claude Bardos, Jasmine S. Linshiz & Edriss S. Titi. (2008) Global regularity for a Birkhoff–Rott- approximation of the dynamics of vortex sheets of the 2D Euler equations. Physica D: Nonlinear Phenomena 237:14-17, pages 1905-1911.
Crossref
Crossref
M I Vishik, E S Titi & V V Chepyzhov. (2007) On convergence of trajectory attractors of the 3D Navier-Stokes-α model as α approaches 0. Sbornik: Mathematics 198:12, pages 1703-1736.
Crossref
Crossref
Марко Иосифович Вишик, Marko Iosifovich Vishik, Эдрис С Тити, Edriss S Titi, Эдрис С Тити, Edriss S Titi, Владимир Викторович Чепыжов & Vladimir Victorovich Chepyzhov. (2007) О сходимости траекторных аттракторов трехмерной $\alpha$-модели Навье - Стокса при $\alpha\to0$On convergence of trajectory attractors of the 3D Navier - Stokes-$\alpha$ model as $\alpha$ approaches 0. Математический сборник Matematicheskii Sbornik 198:12, pages 3-36.
Crossref
Crossref
Alexei A Ilyin, Evelyn M Lunasin & Edriss S Titi. (2006) A modified-Leray-α subgrid scale model of turbulence. Nonlinearity 19:4, pages 879-897.
Crossref
Crossref
Alexey CheskidovDarryl D. HolmEric OlsonEdriss S. Titi. (2005) On a Leray–α model of turbulence. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461:2055, pages 629-649.
Crossref
Crossref