An interface preserving and residual-based adaptivity for phase-field modeling of fully Eulerian fluid-structure interaction

[1]  R. Jaiman,et al.  An interface and geometry preserving phase-field method for fully Eulerian fluid-structure interaction , 2022, J. Comput. Phys..

[2]  Vaibhav Joshi,et al.  A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows , 2020, J. Comput. Phys..

[3]  C. Ollivier-Gooch,et al.  A variational flexible multibody formulation for partitioned fluid-structure interaction: Application to bat-inspired drones and unmanned air-vehicles , 2020, Comput. Math. Appl..

[4]  Boyce E. Griffith,et al.  Immersed Methods for Fluid-Structure Interaction. , 2020, Annual review of fluid mechanics.

[5]  Hector Gomez,et al.  Non-body-fitted fluid-structure interaction: Divergence-conforming B-splines, fully-implicit dynamics, and variational formulation , 2018, J. Comput. Phys..

[6]  Zhiqiang Cai,et al.  A hybrid a posteriori error estimator for conforming finite element approximations , 2018, Computer Methods in Applied Mechanics and Engineering.

[7]  Ju Liu,et al.  A unified continuum and variational multiscale formulation for fluids, solids, and fluid-structure interaction. , 2017, Computer methods in applied mechanics and engineering.

[8]  Vaibhav Joshi,et al.  An adaptive variational procedure for the conservative and positivity preserving Allen-Cahn phase-field model , 2017, J. Comput. Phys..

[9]  Vaibhav Joshi,et al.  A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows , 2017, J. Comput. Phys..

[10]  Boyce E. Griffith,et al.  Hybrid finite difference/finite element immersed boundary method , 2016, International journal for numerical methods in biomedical engineering.

[11]  Rajeev K. Jaiman,et al.  An immersed interface method for flow past circular cylinder in the vicinity of a plane moving wall , 2016 .

[12]  T. P. Miyanawala,et al.  Partitioned iterative and dynamic subgrid-scale methods for freely vibrating square-section structures at subcritical Reynolds number , 2016 .

[13]  Brian van Straalen,et al.  A survey of high level frameworks in block-structured adaptive mesh refinement packages , 2014, J. Parallel Distributed Comput..

[14]  C. Rycroft,et al.  Eulerian method for multiphase interactions of soft solid bodies in fluids , 2014, 1409.6183.

[15]  Alvaro L. G. A. Coutinho,et al.  A residual‐based Allen–Cahn phase field model for the mixture of incompressible fluid flows , 2014 .

[16]  Tongchun Li,et al.  Improved conservative level set method , 2014 .

[17]  Daniele Boffi,et al.  The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier , 2014, SIAM J. Numer. Anal..

[18]  Jinchao Xu,et al.  Full Eulerian finite element method of a phase field model for fluid–structure interaction problem , 2014 .

[19]  Luca Heltai,et al.  Benchmarking the immersed finite element method for fluid-structure interaction problems , 2013, Comput. Math. Appl..

[20]  J. Bruchon,et al.  A finite element‐based level set method for fluid–elastic solid interaction with surface tension , 2013 .

[21]  Thomas Wick,et al.  Fully Eulerian fluid-structure interaction for time-dependent problems , 2013 .

[22]  Boyce E. Griffith,et al.  On the Volume Conservation of the Immersed Boundary Method , 2012 .

[23]  P. Hansbo,et al.  Fictitious domain finite element methods using cut elements , 2012 .

[24]  I. Akkerman,et al.  Goal-oriented error estimation and adaptivity for fluid–structure interaction using exact linearized adjoints , 2011 .

[25]  Lucy T. Zhang,et al.  Interpolation functions in the immersed boundary and finite element methods , 2010 .

[26]  Christophe Geuzaine,et al.  Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .

[27]  Ian D. Walker,et al.  Soft robotics: Biological inspiration, state of the art, and future research , 2008 .

[28]  E. Favvas,et al.  What is spinodal decomposition , 2008 .

[29]  W. Wall,et al.  An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction , 2008 .

[30]  Ernst Rank,et al.  Finite cell method , 2007 .

[31]  Thomas Dunne,et al.  An Eulerian approach to fluid–structure interaction and goal‐oriented mesh adaptation , 2006 .

[32]  Gunilla Kreiss,et al.  A conservative level set method for two phase flow II , 2005, J. Comput. Phys..

[33]  Gianluca Iaccarino,et al.  IMMERSED BOUNDARY METHODS , 2005 .

[34]  Lucy T. Zhang,et al.  Immersed finite element method , 2004 .

[35]  Wing Kam Liu,et al.  Particulate flow simulations using lubrication theory solution enrichment , 2003 .

[36]  Noel J. Walkington,et al.  Digital Object Identifier (DOI) 10.1007/s002050100158 An Eulerian Description of Fluids Containing Visco-Elastic Particles , 2022 .

[37]  Howard H. Hu,et al.  Direct numerical simulations of fluid-solid systems using the arbitrary Langrangian-Eulerian technique , 2001 .

[38]  R. Glowinski,et al.  A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow , 2001 .

[39]  S. Osher,et al.  Regular Article: A PDE-Based Fast Local Level Set Method , 1999 .

[40]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[41]  D. M. Anderson,et al.  DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS , 1997 .

[42]  W. Dörfler.  A convergent adaptive algorithm for Poisson's equation , 1996 .

[43]  P. Roache.  Perspective: A Method for Uniform Reporting of Grid Refinement Studies , 1994 .

[44]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[45]  R. LeVeque,et al.  A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources , 2006 .

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

[47]  T. Hughes,et al.  A new finite element formulation for computational fluid dynamics. X - The compressible Euler and Navier-Stokes equations , 1991 .

[48]  W. Kier,et al.  Tongues, tentacles and trunks: the biomechanics of movement in muscular‐hydrostats , 1985 .

[49]  Wing Kam Liu,et al.  Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆ , 1981 .

[50]  J. Cahn,et al.  A microscopic theory for antiphase boundary motion and its application to antiphase domain coasening , 1979 .

[51]  R. Jaiman,et al.  Computational Mechanics of Fluid-Structure Interaction , 2022 .

[52]  Elisa Capello,et al.  A novel distributed architecture for UAV indoor navigation , 2018 .

[53]  Thomas Richter,et al.  Fluid-structure Interactions , 2017 .

[54]  Thomas Richter,et al.  A Fully Eulerian formulation for fluid-structure-interaction problems , 2013, J. Comput. Phys..

[55]  Stefan A. Funken,et al.  Efficient implementation of adaptive P1-FEM in Matlab , 2011, Comput. Methods Appl. Math..

[56]  Chen-Song Zhang,et al.  A COARSENING ALGORITHM ON ADAPTIVE GRIDS BY NEWEST VERTEX BISECTION AND ITS APPLICATIONS , 2010 .

[57]  Ying Sun,et al.  Sharp interface tracking using the phase-field equation , 2007, J. Comput. Phys..

[58]  T. Belytschko,et al.  An Extended Finite Element Method for Two-Phase Fluids , 2003 .

[59]  J. Rubinstein,et al.  Nonlocal reaction−diffusion equations and nucleation , 1992 .