Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems
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Gianluigi Rozza | Sokratia Georgaka | Giovanni Stabile | Michael J Bluck | G. Rozza | G. Stabile | M. Bluck | Sokratia Georgaka
[1] Charles-Henri Bruneau,et al. Enablers for robust POD models , 2009, J. Comput. Phys..
[2] Bernard Haasdonk,et al. Convergence Rates of the POD–Greedy Method , 2013 .
[3] C. Farhat,et al. Efficient non‐linear model reduction via a least‐squares Petrov–Galerkin projection and compressive tensor approximations , 2011 .
[4] H. E. Fiedler,et al. Application of particle image velocimetry and proper orthogonal decomposition to the study of a jet in a counterflow , 2000 .
[5] Ionel M. Navon,et al. A dual‐weighted trust‐region adaptive POD 4D‐VAR applied to a finite‐element shallow‐water equations model , 2011 .
[6] Jens L. Eftang,et al. An hp certified reduced basis method for parametrized parabolic partial differential equations , 2011 .
[7] K. Willcox,et al. Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition , 2004 .
[8] Urmila Ghia,et al. Boundary-condition-independent reduced-order modeling of complex 2D objects by POD-Galerkin methodology , 2009, 2009 25th Annual IEEE Semiconductor Thermal Measurement and Management Symposium.
[9] M. Berger,et al. Adaptive mesh refinement for hyperbolic partial differential equations , 1982 .
[10] Matthew F. Barone,et al. On the stability and convergence of a Galerkin reduced order model (ROM) of compressible flow with solid wall and far‐field boundary treatment , 2010 .
[11] N. Nguyen,et al. EFFICIENT REDUCED-BASIS TREATMENT OF NONAFFINE AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS , 2007 .
[12] F. Chinesta,et al. A Short Review in Model Order Reduction Based on Proper Generalized Decomposition , 2018 .
[13] Gianluigi Rozza,et al. The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: From Laminar to Turbulent Flows , 2018, Lecture Notes in Computational Science and Engineering.
[14] J. Hesthaven,et al. Certified Reduced Basis Methods for Parametrized Partial Differential Equations , 2015 .
[15] I. Kevrekidis,et al. Low‐dimensional models for complex geometry flows: Application to grooved channels and circular cylinders , 1991 .
[16] Bernd R. Noack,et al. The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows , 2005, Journal of Fluid Mechanics.
[17] A. D. Gosman,et al. Element residual error estimate for the finite volume method , 2003 .
[18] M. Fortin,et al. Mixed Finite Element Methods and Applications , 2013 .
[19] R. Adrian,et al. Turbulent boundary layer structure identification via POD , 2010 .
[20] G. Rozza,et al. On the stability of the reduced basis method for Stokes equations in parametrized domains , 2007 .
[21] Charbel Farhat,et al. Stabilization of projection‐based reduced‐order models , 2012 .
[22] L. Sirovich. Turbulence and the dynamics of coherent structures. II. Symmetries and transformations , 1987 .
[23] J. Chen,et al. Numerical simulation based on POD for two-dimensional solute transport problems☆ , 2011 .
[24] John L. Lumley,et al. Viscous Sublayer and Adjacent Wall Region in Turbulent Pipe Flow , 1967 .
[25] John L. Lumley,et al. Large Eddy Structure of the Turbulent Wake behind a Circular Cylinder , 1967 .
[26] A. Gosman,et al. Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .
[27] Alain Dervieux,et al. Reduced-order modeling for unsteady transonic flows around an airfoil , 2007 .
[28] Jens L. Eftang,et al. Reduced basis methods for parametrized partial differential equations , 2011 .
[29] Gianluigi Rozza,et al. Model Order Reduction: a survey , 2016 .
[30] Gianluigi Rozza,et al. Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations , 2015 .
[31] B. Haasdonk,et al. REDUCED BASIS METHOD FOR FINITE VOLUME APPROXIMATIONS OF PARAMETRIZED LINEAR EVOLUTION EQUATIONS , 2008 .
[32] Juan Du,et al. Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods , 2013, J. Comput. Phys..
[33] Pierre Kerfriden,et al. An efficient goal‐oriented sampling strategy using reduced basis method for parametrized elastodynamic problems , 2015 .
[34] Florian Müller,et al. Probabilistic collocation and lagrangian sampling for advective tracer transport in randomly heterogeneous porous media , 2011 .
[35] Dongxu Han,et al. Study on a BFC-Based POD-Galerkin Reduced-Order Model for the Unsteady-State Variable-Property Heat Transfer Problem , 2014 .
[36] F. Brezzi,et al. A discourse on the stability conditions for mixed finite element formulations , 1990 .
[37] C. Allery,et al. Proper general decomposition (PGD) for the resolution of Navier-Stokes equations , 2011, J. Comput. Phys..
[38] G. Rozza,et al. POD-Galerkin method for finite volume approximation of Navier–Stokes and RANS equations , 2016 .
[39] A. Velazquez,et al. Robust reduced order modeling of heat transfer in a back step flow , 2009 .
[40] Joris Degroote,et al. POD-Galerkin reduced order model of the Boussinesq approximation for buoyancy-driven enclosed flows , 2019 .
[41] J. Guerrero. Introduction to Computational Fluid Dynamics: Governing Equations, Turbulence Modeling Introduction and Finite Volume Discretization Basics. , 2014 .
[42] Ali H. Nayfeh,et al. On the stability and extension of reduced-order Galerkin models in incompressible flows , 2009 .
[43] Gianluigi Rozza,et al. A Hybrid Reduced Order Method for Modelling Turbulent Heat Transfer Problems , 2019, Computers & Fluids.
[44] Hermann F. Fasel,et al. Dynamics of three-dimensional coherent structures in a flat-plate boundary layer , 1994, Journal of Fluid Mechanics.
[45] Hrvoje Jasak,et al. Error analysis and estimation for the finite volume method with applications to fluid flows , 1996 .
[46] Gianluigi Rozza,et al. POD-Galerkin reduced order methods for combined Navier-Stokes transport equations based on a hybrid FV-FE solver , 2018, Comput. Math. Appl..
[47] Wr Graham,et al. OPTIMAL CONTROL OF VORTEX SHEDDING USING LOW-ORDER MODELS. PART I-OPEN-LOOP MODEL DEVELOPMENT , 1999 .
[48] Gianluigi Rozza,et al. POD–Galerkin monolithic reduced order models for parametrized fluid‐structure interaction problems , 2016 .
[49] George Em Karniadakis,et al. A low-dimensional model for simulating three-dimensional cylinder flow , 2002, Journal of Fluid Mechanics.
[50] A. Emami-Naeini,et al. Nonlinear model reduction for simulation and control of rapid thermal processing , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).
[51] Jeffrey P. Thomas,et al. Proper Orthogonal Decomposition Technique for Transonic Unsteady Aerodynamic Flows , 2000 .
[52] A. Quarteroni,et al. Reduced Basis Methods for Partial Differential Equations: An Introduction , 2015 .
[53] K. C. Hoang,et al. Fast and accurate two-field reduced basis approximation for parametrized thermoelasticity problems , 2018 .
[54] A. Patera,et al. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations , 2007 .
[55] Alberto Guadagnini,et al. POD-based Monte Carlo approach for the solution of regional scale groundwater flow driven by randomly distributed recharge , 2011 .
[56] Bo Yu,et al. A comparative study of POD interpolation and POD projection methods for fast and accurate prediction of heat transfer problems , 2012 .
[57] S. Ravindran. A reduced-order approach for optimal control of fluids using proper orthogonal decomposition , 2000 .
[58] P. Holmes,et al. The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows , 1993 .
[59] Hongye Su,et al. A fast-POD model for simulation and control of indoor thermal environment of buildings , 2013 .
[60] G. Rozza,et al. POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder , 2017, 1701.03424.
[61] Gianluigi Rozza,et al. Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization , 2016, J. Comput. Phys..
[62] G. Rozza,et al. Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier–Stokes equations , 2017, Computers & Fluids.
[63] Stéphane Bordas,et al. A fast, certified and "tuning free" two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems , 2016 .
[64] V. A. Krasil’nikov,et al. Atmospheric turbulence and radio-wave propagation , 1962 .
[65] L. Sirovich. Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .
[66] M. Gunzburger,et al. Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data , 2007 .