A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems

[1]  Jintai Chung,et al.  A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method , 1993 .

[2]  G. Hulbert,et al.  A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method , 2000 .

[3]  Michael Griebel,et al.  A Particle-Partition of Unity Method Part V: Boundary Conditions , 2003 .

[4]  A. Huerta,et al.  Arbitrary Lagrangian–Eulerian Methods , 2004 .

[5]  M. Heil An efficient solver for the fully-coupled solution of large-displacement fluid-structure interaction problems , 2004 .

[6]  Peter Hansbo,et al.  Nitsche's method for interface problems in computa‐tional mechanics , 2005 .

[7]  Fabio Nobile,et al.  Added-mass effect in the design of partitioned algorithms for fluid-structure problems , 2005 .

[8]  Ekkehard Ramm,et al.  Large deformation fluid structure interaction - advances in ALE methods and new fixed grid approaches , 2006 .

[9]  G. Vinay,et al.  Numerical simulation of weakly compressible Bingham flows: The restart of pipeline flows of waxy crude oils , 2006 .

[10]  W. Wall,et al.  A Solution for the Incompressibility Dilemma in Partitioned Fluid–Structure Interaction with Pure Dirichlet Fluid Domains , 2006 .

[11]  Charbel Farhat,et al.  Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity , 2006 .

[12]  D. Venerus Laminar capillary flow of compressible viscous fluids , 2006, Journal of Fluid Mechanics.

[13]  Andrea Crivellini,et al.  An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations , 2006, J. Comput. Phys..

[14]  S. Rebay,et al.  An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows , 2007 .

[15]  E. Ramm,et al.  Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows , 2007 .

[16]  T. Belytschko,et al.  A first course in finite elements , 2007 .

[17]  B. Rivière,et al.  Estimation of penalty parameters for symmetric interior penalty Galerkin methods , 2007 .

[18]  T. Belytschko,et al.  A First Course in Finite Elements: Belytschko/A First Course in Finite Elements , 2007 .

[19]  G. Georgiou,et al.  Numerical simulation of the extrusion of strongly compressible Newtonian liquids , 2008 .

[20]  Bo Dong,et al.  A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems , 2008, Math. Comput..

[21]  W. Wall,et al.  Fixed-point fluid–structure interaction solvers with dynamic relaxation , 2008 .

[22]  Antonio Huerta,et al.  Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations , 2008 .

[23]  Raytcho D. Lazarov,et al.  Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems , 2009, SIAM J. Numer. Anal..

[24]  Bernardo Cockburn,et al.  An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations , 2009, J. Comput. Phys..

[25]  Bernardo Cockburn,et al.  An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations , 2009, Journal of Computational Physics.

[26]  Bernardo Cockburn,et al.  A hybridizable discontinuous Galerkin method for linear elasticity , 2009 .

[27]  Jaime Peraire,et al.  Discontinuous Galerkin Solution of the Navier-Stokes Equations on Deformable Domains , 2007 .

[28]  K. Bathe,et al.  Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction , 2009 .

[29]  Bernardo Cockburn,et al.  A Hybridizable Discontinuous Galerkin Method for the Compressible Euler and Navier-Stokes Equations , 2010, 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.

[30]  Bernardo Cockburn,et al.  journal homepage: www.elsevier.com/locate/cma , 2022 .

[31]  Wolfgang A. Wall,et al.  An embedded Dirichlet formulation for 3D continua , 2010 .

[32]  Bernardo Cockburn,et al.  An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations , 2011, J. Comput. Phys..

[33]  Robert Michael Kirby,et al.  To CG or to HDG: A Comparative Study , 2012, J. Sci. Comput..

[34]  Dominique Pelletier,et al.  Some manufactured solutions for verification of fluid-structure interaction codes , 2012 .

[35]  Antonio Huerta,et al.  Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems , 2013 .

[36]  Bernardo Cockburn,et al.  Superconvergent HDG methods for linear elasticity with weakly symmetric stresses , 2013 .

[37]  Antonio Huerta,et al.  Hybridizable Discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations ✩ , 2014 .

[38]  Per-Olof Persson,et al.  A high-order discontinuous Galerkin method for fluid-structure interaction with efficient implicit-explicit time stepping , 2014, J. Comput. Phys..

[39]  Matthias Mayr,et al.  A Temporal Consistent Monolithic Approach to Fluid-Structure Interaction Enabling Single Field Predictors , 2015, SIAM J. Sci. Comput..

[40]  Scott T. Miller,et al.  A hybridizable discontinuous Galerkin method for modeling fluid-structure interaction , 2016, J. Comput. Phys..

[41]  Georgios C. Georgiou,et al.  New analytical solutions for weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity , 2016 .

[42]  Martin Kronbichler,et al.  A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow , 2016, J. Comput. Phys..

[43]  Antonio Huerta,et al.  A Superconvergent HDG Method for Stokes Flow with Strongly Enforced Symmetry of the Stress Tensor , 2018, Journal of Scientific Computing.

[44]  Scott T. Miller,et al.  An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense , 2018 .

[45]  Wolfgang A. Wall,et al.  A matrix‐free high‐order discontinuous Galerkin compressible Navier‐Stokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows , 2018, International Journal for Numerical Methods in Fluids.

[46]  Antonio Huerta,et al.  HDG-NEFEM with Degree Adaptivity for Stokes Flows , 2018, Journal of Scientific Computing.

[47]  Antonio Huerta,et al.  A superconvergent hybridisable discontinuous Galerkin method for linear elasticity , 2018, International Journal for Numerical Methods in Engineering.

[48]  Benedikt Schott,et al.  A monolithic approach to fluid‐structure interaction based on a hybrid Eulerian‐ALE fluid domain decomposition involving cut elements , 2018, International Journal for Numerical Methods in Engineering.

[49]  Antonio Huerta,et al.  Hybrid coupling of CG and HDG discretizations based on Nitsche’s method , 2019, Computational Mechanics.

[50]  M. Giacomini,et al.  Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems , 2019, Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids.

[51]  Per-Olof Persson,et al.  High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit–explicit Runge–Kutta schemes , 2018, Computer Methods in Applied Mechanics and Engineering.

[52]  M. Kronbichler,et al.  On the role of (weak) compressibility for fluid‐structure interaction solvers , 2019, International Journal for Numerical Methods in Fluids.

[53]  Mahendra Paipuri,et al.  Coupling of Continuous and Hybridizable Discontinuous Galerkin Methods: Application to Conjugate Heat Transfer Problem , 2018, J. Sci. Comput..