A dynamic subgrid scale model for Large Eddy Simulations based on the Mori-Zwanzig formalism
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[1] A. Chorin,et al. Stochastic Tools in Mathematics and Science , 2005 .
[2] R. Zwanzig. Nonlinear generalized Langevin equations , 1973 .
[3] Eric Parish,et al. Reduced order modeling of turbulent flows using statistical coarse-graining , 2016 .
[4] John Kim,et al. DIRECT NUMERICAL SIMULATION OF TURBULENT CHANNEL FLOWS UP TO RE=590 , 1999 .
[5] Alexandre J. Chorin,et al. Problem reduction, renormalization, and memory , 2005 .
[6] Abhilash J. Chandy,et al. The t-Model as a Large Eddy Simulation Model for the Navier-Stokes Equations , 2009, Multiscale Model. Simul..
[7] T. Hughes,et al. Large Eddy Simulation and the variational multiscale method , 2000 .
[8] R. Sani,et al. On pressure boundary conditions for the incompressible Navier‐Stokes equations , 1987 .
[9] Panagiotis Stinis,et al. Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions , 2007, Proceedings of the National Academy of Sciences.
[10] Panagiotis Stinis,et al. Higher Order Mori-Zwanzig Models for the Euler Equations , 2006, Multiscale Model. Simul..
[11] Dror Givon,et al. Existence proof for orthogonal dynamics and the Mori-Zwanzig formalism , 2005 .
[12] Panagiotis Stinis,et al. Renormalized reduced models for singular PDEs , 2011, 1106.1677.
[13] K. Duraisamy,et al. Non-Markovian Closure Models for Large Eddy Simulations using the Mori-Zwanzig Formalism , 2016, 1611.03311.
[14] B. O. Koopman,et al. Hamiltonian Systems and Transformation in Hilbert Space. , 1931, Proceedings of the National Academy of Sciences of the United States of America.
[15] A J Chorin,et al. Optimal prediction and the Mori-Zwanzig representation of irreversible processes. , 2000, Proceedings of the National Academy of Sciences of the United States of America.
[16] R. Rogallo. Numerical experiments in homogeneous turbulence , 1981 .
[17] Panagiotis Stinis,et al. Mori-Zwanzig reduced models for uncertainty quantification I: Parametric uncertainty , 2012, 1211.4285.
[18] S. Aarseth,et al. Numerical Experiments , 2014, 1411.4939.
[19] Parviz Moin,et al. On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries , 1980 .
[20] David Bernstein,et al. Optimal Prediction of Burgers's Equation , 2007, Multiscale Model. Simul..
[21] Panos Stinis,et al. Renormalized Mori–Zwanzig-reduced models for systems without scale separation , 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[22] T. A. Zang,et al. Spectral methods for fluid dynamics , 1987 .
[23] Alexandre J. Chorin,et al. Prediction from Partial Data, Renormalization, and Averaging , 2006, J. Sci. Comput..
[24] M. Germano,et al. Turbulence: the filtering approach , 1992, Journal of Fluid Mechanics.
[25] H. Mori. Transport, Collective Motion, and Brownian Motion , 1965 .
[26] S. Corrsin,et al. Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence , 1971, Journal of Fluid Mechanics.