A Shear-Slip Mesh Update – Immersed Boundary Finite Element model for computational simulations of material transport in EPB tunnel boring machines

Maidl, 2013 Song, 2009 Herrenknecht, 2017 Orfila, 2007, 40 A. Bezuijen, J. Joustra, A. Talmon, B. Grote, Pressure Gradients at the Tunnel Face of an Earth Pressure Balance Shield, Proc. ITA. Mosavat, 2015, Examination of excavation chamber pressure behavior on a 17.5 m diameter Earth Pressure Balance tunnel boring machine, vol. 18, 20 Meng, 2011, Experimental investigation on viscoplastic parameters of conditioned sands in Earth Pressure Balance shield tunneling, J. Mech. Sci. Technol., 25, 2259, 10.1007/s12206-011-0611-9 Galli, 2016 Bingham, 1922 Chhabra, 2010, Non-Newtonian fluids: an introduction, 3 Hatzikiriakos, 2012, Wall slip of molten polymers, Prog. Polym. Sci., 37, 624, 10.1016/j.progpolymsci.2011.09.004 Krafczyk, 2001, Two-dimensional simulation of fluid–structure interaction using lattice-Boltzmann methods, Comput. Struct., 79, 2031, 10.1016/S0045-7949(01)00050-5 Monaghan, 1992, Smoothed particle hydrodynamics, Annu. Rev. Astron. Astrophys., 30, 543, 10.1146/annurev.aa.30.090192.002551 Nordendale, 2016, A comparison of finite element analysis to smooth particle hydrodynamics for application to projectile impact on cementitious material, Comput. Part. Mech., 3, 53, 10.1007/s40571-015-0092-1 Marrone, 2016, Coupling of smoothed particle hydrodynamics with finite volume method for free-surface flows, J. Comput. Phys., 310, 161, 10.1016/j.jcp.2015.11.059 Cundall, 1979, A discrete numerical model for granular assemblies, Géotechnique, 29, 47, 10.1680/geot.1979.29.1.47 Qu, 2009, Analysis of chamber pressure for Earth Pressure Balance shield machine by discrete numerical model, 402 Oñate, 2004, The Particle Finite Element method. An overview, Int. J. Comput. Meth., 1, 267, 10.1142/S0219876204000204 Idelsohn, 2006, Fluid–structure interaction using the Particle Finite Element method, Comput. Meth. Appl. Mech. Eng., 195, 2100, 10.1016/j.cma.2005.02.026 Zienkiewicz, 2005 Chorin, 1968, Numerical solution of the Navier-Stokes equations, Math. Comput., 22, 745, 10.1090/S0025-5718-1968-0242392-2 Zienkiewicz, 2005, vol. 3 Tezduyar, 1996, Flow simulation and high performance computing, Comput. Mech., 18, 397, 10.1007/BF00350249 Behr, 1999, The Shear-Slip Mesh Update method, Comput. Meth. Appl. Mech. Eng., 174, 261, 10.1016/S0045-7825(98)00299-0 Behr, 2001, Shear-Slip Mesh Update in 3d computation of complex flow problems with rotating mechanical components, Comput. Meth. Appl. Mech. Eng., 190, 3189, 10.1016/S0045-7825(00)00388-1 McNaughton, 2014, A simple sliding-mesh interface procedure and its application to the CFD simulation of a tidal-stream turbine, Int. J. Numer. Meth. Fluid., 74, 250, 10.1002/fld.3849 Jahoda, 2011, CFD simulation of free liquid surface motion in a pilot plant stirred tank, Can. J. Chem. Eng., 89, 717, 10.1002/cjce.20477 Mittal, 2005, Immersed Boundary methods, Annu. Rev. Fluid Mech., 37, 239, 10.1146/annurev.fluid.37.061903.175743 Sotiropoulos, 2014, Immersed Boundary methods for simulating fluid–structure interaction, Prog. Aero. Sci., 65, 1, 10.1016/j.paerosci.2013.09.003 Peskin, 1972, Flow patterns around heart valves: a numerical method, J. Comput. Phys., 10, 252, 10.1016/0021-9991(72)90065-4 Mohd-Yusof, 1998, Development of Immersed Boundary methods for complex geometries, Annu. Res. Briefs, 325 Taira, 2007, The Immersed Boundary method: a projection approach, J. Comput. Phys., 225, 2118, 10.1016/j.jcp.2007.03.005 Ilinca, 2011, A Finite Element Immersed Boundary method for fluid flow around rigid objects, Int. J. Numer. Meth. Fluid., 65, 856, 10.1002/fld.2222 Gerstenberger, 2008, An eXtended Finite Element Method/Lagrange multiplier based approach for fluid–structure interaction, Comput. Meth. Appl. Mech. Eng., 197, 1699, 10.1016/j.cma.2007.07.002 Kamensky, 2015, An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves, Comput. Meth. Appl. Mech. Eng., 284, 1005, 10.1016/j.cma.2014.10.040 Du, 2014, An Immersed Boundary method for two-fluid mixtures, J. Comput. Phys., 262, 231, 10.1016/j.jcp.2014.01.008 Hou, 2012, Numerical methods for fluid-structure interaction — a review, Commun. Comput. Phys., 12, 337, 10.4208/cicp.291210.290411s Papanastasiou, 1987, Flows of materials with yield, J. Rheol., 31, 385, 10.1122/1.549926 Herschel, 1926, Konsistenzmessungen von Gummi-Benzollösungen, Kolloid Z., 39, 291, 10.1007/BF01432034 EFNARC, 2005 Nithiarasu, 2006, The Characteristic-Based Split (CBS) scheme—a unified approach to fluid dynamics, Int. J. Numer. Meth. Eng., 66, 1514, 10.1002/nme.1698 Kountouriotis, 2016, Development lengths in Newtonian Poiseuille flows with wall slip, Appl. Math. Comput., 291, 98 Fortin, 1991, On the imposition of friction boundary conditions for the numerical simulation of Bingham fluid flows, Comput. Meth. Appl. Mech. Eng., 88, 97, 10.1016/0045-7825(91)90234-W Kang, 2009, Accurate immersed-boundary reconstructions for viscous flow simulations, AIAA J., 47, 1750, 10.2514/1.42187 Liao, 2010, Simulating flows with moving rigid boundary using immersed-boundary method, Comput. Fluid, 39, 152, 10.1016/j.compfluid.2009.07.011 Kim, 2006, Immersed Boundary method for flow around an arbitrarily moving body, J. Comput. Phys., 212, 662, 10.1016/j.jcp.2005.07.010 Dütsch, 1998, Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers, J. Fluid Mech., 360, 249, 10.1017/S002211209800860X Thewes, 2010, Soil conditioning with foam during EPB tunnelling, GeoMech. Tunn., 3, 256, 10.1002/geot.201000023