A Time-Parallel Framework for Coupling Finite Element and Lattice Boltzmann Methods
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[1] Orestis Malaspinas,et al. Straight velocity boundaries in the lattice Boltzmann method. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[2] A. Quarteroni,et al. Navier-Stokes/Darcy Coupling: Modeling, Analysis, and Numerical Approximation , 2009 .
[3] Roland Glowinski,et al. Finite element approximation of multi-scale elliptic problems using patches of elements , 2005, Numerische Mathematik.
[4] Amine Ammar,et al. Lattice Boltzmann method for polymer kinetic theory , 2010 .
[5] A. Quarteroni,et al. On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels , 2001 .
[6] O. Filippova,et al. Grid Refinement for Lattice-BGK Models , 1998 .
[7] Orestis Malaspinas,et al. General regularized boundary condition for multi-speed lattice Boltzmann models , 2011 .
[8] A. Cristiano I. Malossi,et al. Numerical Comparison and Calibration of Geometrical Multiscale Models for the Simulation of Arterial Flows , 2013 .
[9] H. Stetter. The defect correction principle and discretization methods , 1978 .
[10] Stefan Engblom,et al. Parallel in Time Simulation of Multiscale Stochastic Chemical Kinetics , 2008, Multiscale Model. Simul..
[11] Wim Vanroose,et al. Numerical Extraction of a Macroscopic PDE and a Lifting Operator from a Lattice Boltzmann Model , 2011, Multiscale Model. Simul..
[12] Wim Vanroose,et al. Accuracy of Hybrid Lattice Boltzmann/Finite Difference Schemes for Reaction-Diffusion Systems , 2007, Multiscale Model. Simul..
[13] U Tüzün,et al. Discrete–element method simulations: from micro to macro scales , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[14] Franz Chouly,et al. Parareal multi-model numerical zoom for parabolic multiscale problems , 2014 .
[15] Alfonso Caiazzo,et al. Asymptotic Analysis of lattice Boltzmann method for Fluid-Structure interaction problems , 2007 .
[16] Donald Ziegler,et al. Boundary conditions for lattice Boltzmann simulations , 1993 .
[17] A. Quarteroni,et al. The derivation of the equations for fluids and structure , 2009 .
[18] S. Succi,et al. The lattice Boltzmann equation on irregular lattices , 1992 .
[19] Alfio Quarteroni,et al. A modular lattice boltzmann solver for GPU computing processors , 2012 .
[20] Howard C. Elman,et al. Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics , 2014 .
[21] Christina Kluge,et al. Fluid Structure Interaction , 2016 .
[22] Sauro Succi,et al. Applying the lattice Boltzmann equation to multiscale fluid problems , 2001, Comput. Sci. Eng..
[23] Lin,et al. Lattice boltzmann method on composite grids , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[24] Massimo Bernaschi,et al. A flexible high‐performance Lattice Boltzmann GPU code for the simulations of fluid flows in complex geometries , 2010, Concurr. Comput. Pract. Exp..
[25] Steinar Evje,et al. A lattice Boltzmann‐BGK algorithm for a diffusion equation with Robin boundary condition—application to NMR relaxation , 2009 .
[26] Yvon Maday,et al. The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation , 2005 .
[27] Ashok Srinivasan,et al. Latency tolerance through parallelization of time in scientific applications , 2004, 18th International Parallel and Distributed Processing Symposium, 2004. Proceedings..
[28] I. Karlin,et al. Grad's approximation for missing data in lattice Boltzmann simulations , 2006 .
[29] R. Benzi,et al. The lattice Boltzmann equation: theory and applications , 1992 .
[30] Liping He. THE REDUCED BASIS TECHNIQUE AS A COARSE SOLVER FOR PARAREAL IN TIME SIMULATIONS , 2010 .
[31] Paolo Zunino,et al. Mathematical models of mass transfer in the vascular walls , 2009 .
[32] Derek Groen,et al. Choice of boundary condition for lattice-Boltzmann simulation of moderate-Reynolds-number flow in complex domains. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.
[33] Eli J Weinberg,et al. On the multiscale modeling of heart valve biomechanics in health and disease , 2010, Biomechanics and modeling in mechanobiology.
[34] Allan S. Nielsen. Feasibility study of the parareal algorithm , 2012 .
[35] Pierre Leone,et al. A Hybrid Lattice Boltzmann Finite Difference Scheme for the Diffusion Equation , 2006 .
[36] X. Yuan,et al. Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation , 2006, Journal of Fluid Mechanics.
[37] G. Romano. Multiscale thermal models of nanostructured devices , 2010 .
[38] P. Wriggers,et al. Micro-Meso-Macro Modelling of Composite Materials , 2006 .
[39] Pierre Lallemand,et al. Consistent initial conditions for lattice Boltzmann simulations , 2006 .
[40] M. Junk,et al. Asymptotic analysis of the lattice Boltzmann equation , 2005 .
[41] Pierre Leone,et al. Coupling a Lattice Boltzmann and a Finite Difference Scheme , 2004, International Conference on Computational Science.
[42] Hui Xu,et al. A lifting relation from macroscopic variables to mesoscopic variables in lattice Boltzmann method: Derivation, numerical assessments and coupling computations validation , 2011, 1104.3958.
[43] Petros Koumoutsakos,et al. Effects of Atomistic Domain Size on Hybrid Lattice Boltzmann-Molecular Dynamics Simulations of Dense Fluids , 2007 .
[44] J. Boon. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .
[45] Francesca Rapetti,et al. Basics and some applications of the mortar element method , 2005 .
[46] B. Chopard,et al. Theory and applications of an alternative lattice Boltzmann grid refinement algorithm. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[47] Michael Junk,et al. A finite difference interpretation of the lattice Boltzmann method , 2001 .
[48] Y Maday,et al. Parallel-in-time molecular-dynamics simulations. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[49] Adel Blouza,et al. PARALLEL IN TIME ALGORITHMS WITH REDUCTION METHODS FOR SOLVING CHEMICAL KINETICS , 2010 .
[50] Y. Qian,et al. Lattice BGK Models for Navier-Stokes Equation , 1992 .
[51] Michael L. Minion,et al. A HYBRID PARAREAL SPECTRAL DEFERRED CORRECTIONS METHOD , 2010 .
[52] Frédéric Hecht,et al. Numerical Zoom and the Schwarz Algorithm , 2009 .
[53] Sauro Succi,et al. EXPLORING DNA TRANSLOCATION THROUGH A NANOPORE VIA A MULTISCALE LATTICE-BOLTZMANN MOLECULAR-DYNAMICS METHODOLOGY , 2007 .
[54] Hui Xu,et al. Numerical Illustrations of the Coupling Between the Lattice Boltzmann Method and Finite-Type Macro-Numerical Methods , 2010 .
[55] Sauro Succi,et al. Multiscale Coupling of Molecular Dynamics and Hydrodynamics: Application to DNA Translocation through a Nanopore , 2006, Multiscale Model. Simul..
[56] George E. Karniadakis,et al. Triple-decker: Interfacing atomistic-mesoscopic-continuum flow regimes , 2009, J. Comput. Phys..
[57] Bernhard Müller,et al. A curved no-slip boundary condition for the lattice Boltzmann method , 2010, J. Comput. Phys..
[58] S. Succi,et al. Nanoflows through disordered media: A joint lattice Boltzmann and molecular dynamics investigation , 2009, 0907.0663.
[59] S. Succi,et al. Lattice Boltzmann method on unstructured grids: further developments. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[60] J. Lions,et al. Résolution d'EDP par un schéma en temps « pararéel » , 2001 .
[61] Santosh Ansumali,et al. Lattice Fokker Planck for dilute polymer dynamics. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[62] Charbel Farhat,et al. Time‐decomposed parallel time‐integrators: theory and feasibility studies for fluid, structure, and fluid–structure applications , 2003 .
[63] J. Guermond,et al. Theory and practice of finite elements , 2004 .
[64] Alfons G. Hoekstra,et al. Asymptotic analysis of Complex Automata models for reaction--diffusion systems , 2009 .
[65] Haibo Huang,et al. Numerical study of lattice Boltzmann methods for a convection–diffusion equation coupled with Navier–Stokes equations , 2011 .
[66] Jonas Latt,et al. Hydrodynamic limit of lattice Boltzmann equations , 2007 .
[67] P.-H. Kao,et al. An investigation into curved and moving boundary treatments in the lattice Boltzmann method , 2008, J. Comput. Phys..
[68] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[69] Olivier Pironneau,et al. Numerical zoom for multiscale problems with an application to nuclear waste disposal , 2007, J. Comput. Phys..
[70] Eric Aubanel. Scheduling of tasks in the parareal algorithm , 2011, Parallel Comput..
[71] P. Ladevèze,et al. The LATIN multiscale computational method and the Proper Generalized Decomposition , 2010 .
[72] Olivier Pironneau. Méthodes des éléments finis pour les fluides , 1989 .
[73] Yvon Maday,et al. A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations , 2005 .
[74] A. Quarteroni,et al. Numerical Approximation of Partial Differential Equations , 2008 .
[75] Giovanni Samaey,et al. A Micro-Macro Parareal Algorithm: Application to Singularly Perturbed Ordinary Differential Equations , 2012, SIAM J. Sci. Comput..
[76] Raúl Sánchez,et al. Event-based parareal: A data-flow based implementation of parareal , 2012, J. Comput. Phys..
[77] P Koumoutsakos,et al. Coupling lattice Boltzmann and molecular dynamics models for dense fluids. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[78] A. Quarteroni. Cardiovascular mathematics , 2000 .
[79] Alfio Quarteroni,et al. Cardiovascular mathematics : modeling and simulation of the circulatory system , 2009 .
[80] Bastien Chopard,et al. The lattice Boltzmann advection-diffusion model revisited , 2009 .
[81] Martin J. Gander,et al. Analysis of the Parareal Time-Parallel Time-Integration Method , 2007, SIAM J. Sci. Comput..