A consistent and versatile computational approach for general fluid‐structure‐contact interaction problems
暂无分享,去创建一个
[1] F P T Baaijens,et al. A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. , 2003, Journal of biomechanics.
[2] A P Yoganathan,et al. Three-dimensional computational model of left heart diastolic function with fluid-structure interaction. , 2000, Journal of biomechanical engineering.
[3] Mats G. Larson,et al. A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem , 2013, 1311.2431.
[4] Peter Hansbo,et al. Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem , 2014 .
[5] O. Reynolds. IV. On the theory of lubrication and its application to Mr. Beauchamp tower’s experiments, including an experimental determination of the viscosity of olive oil , 1886, Philosophical Transactions of the Royal Society of London.
[6] Wolfgang A. Wall,et al. An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: Application to embedded interface methods , 2014, J. Comput. Phys..
[7] Wolfgang A. Wall,et al. 3D fluid–structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach , 2010 .
[8] Benedikt Schott,et al. A consistent approach for fluid‐structure‐contact interaction based on a porous flow model for rough surface contact , 2018, International Journal for Numerical Methods in Engineering.
[9] T. Wick. Flapping and contact FSI computations with the fluid–solid interface-tracking/interface-capturing technique and mesh adaptivity , 2014 .
[10] Franz Chouly,et al. A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis , 2013, SIAM J. Numer. Anal..
[11] Wolfgang A. Wall,et al. Segment-based vs. element-based integration for mortar methods in computational contact mechanics , 2015 .
[12] Franz Chouly,et al. An unbiased Nitsche’s formulation of large deformation frictional contact and self-contact , 2017 .
[13] Thomas J. R. Hughes,et al. Weak imposition of Dirichlet boundary conditions in fluid mechanics , 2007 .
[14] Arnold Reusken,et al. An extended pressure finite element space for two-phase incompressible flows with surface tension , 2007, J. Comput. Phys..
[15] Jean-Frédéric Gerbeau,et al. A partitioned fluid-structure algorithm for elastic thin valves with contact , 2008 .
[16] Daniel M Espino,et al. Evaluation of a transient, simultaneous, arbitrary Lagrange–Euler based multi-physics method for simulating the mitral heart valve , 2014, Computer methods in biomechanics and biomedical engineering.
[17] Miguel A. Fernández,et al. An unfitted Nitsche method for incompressible fluid–structure interaction using overlapping meshes , 2014 .
[18] Neil J. Balmforth,et al. Contact in a viscous fluid. Part 1. A falling wedge , 2010, Journal of Fluid Mechanics.
[19] Rolf Stenberg,et al. Nitsche's method for general boundary conditions , 2009, Math. Comput..
[20] Schalk Kok,et al. An evaluation of quasi-Newton methods for application to FSI problems involving free surface flow and solid body contact , 2016 .
[21] Alfio Quarteroni,et al. Numerical modeling of heart valves using resistive Eulerian surfaces , 2016, International journal for numerical methods in biomedical engineering.
[22] Wolfgang A. Wall,et al. Nitsche’s method for finite deformation thermomechanical contact problems , 2018, Computational Mechanics.
[23] Franz Chouly,et al. Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments , 2014, Math. Comput..
[24] Matteo Astorino,et al. Fluid-structure interaction and multi-body contact. Application to aortic valves , 2009 .
[25] Benedikt Schott,et al. A stabilized Nitsche cut finite element method for the Oseen problem , 2016, 1611.02895.
[26] Peter Hansbo,et al. The Penalty-Free Nitsche Method and Nonconforming Finite Elements for the Signorini Problem , 2016, SIAM J. Numer. Anal..
[27] Benedikt Schott,et al. A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity , 2018, Computer Methods in Applied Mechanics and Engineering.
[28] Roger A. Sauer,et al. An unbiased computational contact formulation for 3D friction , 2015 .
[29] Tayfun E. Tezduyar,et al. Modeling of fluid–structure interactions with the space–time finite elements: contact problems , 2008 .
[30] Daniel M. Espino,et al. Transient large strain contact modelling: A comparison of contact techniques for simultaneous fluid–structure interaction , 2015 .
[31] P. Wriggers,et al. A formulation for frictionless contact problems using a weak form introduced by Nitsche , 2007 .
[32] Matthieu Hillairet,et al. Collisions in Three-Dimensional Fluid Structure Interaction Problems , 2009, SIAM J. Math. Anal..
[33] Erik Burman,et al. A Nitsche-based formulation for fluid-structure interactions with contact , 2018, ESAIM: Mathematical Modelling and Numerical Analysis.
[34] Franz Chouly,et al. An unbiased Nitsche’s approximation of the frictional contact between two elastic structures , 2018, Numerische Mathematik.
[35] I. Borazjani. Fluid–structure interaction, immersed boundary-finite element method simulations of bio-prosthetic heart valves , 2013 .
[36] Miguel A. Fernández,et al. Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures , 2016 .
[37] P. Hansbo,et al. A cut finite element method for a Stokes interface problem , 2012, 1205.5684.
[38] W. Wall,et al. A face‐oriented stabilized Nitsche‐type extended variational multiscale method for incompressible two‐phase flow , 2015 .
[39] W. Wall,et al. A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions , 2017, 1706.05897.
[40] Franz Chouly,et al. An adaptation of Nitscheʼs method to the Tresca friction problem , 2014 .
[41] Peter Hansbo,et al. CutFEM: Discretizing geometry and partial differential equations , 2015 .
[42] David G'erard-Varet,et al. The influence of boundary conditions on the contact problem in a 3D Navier–Stokes flow , 2013, 1302.7098.
[43] Erik Burman,et al. Stabilized finite element methods for the generalized Oseen problem , 2007 .
[44] André Massing,et al. A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem , 2012, J. Sci. Comput..
[45] Yinghua Liu,et al. A numerical formulation and algorithm for limit and shakedown analysis of large-scale elastoplastic structures , 2019 .
[46] Benedikt Schott,et al. A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier–Stokes equations , 2014 .
[47] D. Gérard-Varet,et al. Regularity Issues in the Problem of Fluid Structure Interaction , 2008, 0805.2654.
[48] Wolfgang A. Wall,et al. Unified computational framework for the efficient solution of n-field coupled problems with monolithic schemes , 2016, 1605.01522.
[49] Benedikt Schott,et al. Monolithic cut finite element–based approaches for fluid‐structure interaction , 2018, International Journal for Numerical Methods in Engineering.
[50] P. Hansbo,et al. Fictitious domain finite element methods using cut elements , 2012 .
[51] G. Querzoli,et al. Flow structure in healthy and pathological left ventricles with natural and prosthetic mitral valves , 2017, Journal of Fluid Mechanics.
[52] Patrick D. Anderson,et al. A fluid-structure interaction method with solid-rigid contact for heart valve dynamics , 2006, J. Comput. Phys..
[53] Yuri Bazilevs,et al. An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves. , 2015, Computer methods in applied mechanics and engineering.
[54] Hans-Jürgen Butt,et al. Boundary slip in Newtonian liquids: a review of experimental studies , 2005 .