Allen C (2006) Parallel flow-solver and mesh motion scheme for forward flight rotor simulation. 24th AIAA Applied Aerodynamics Conference, 3476
Anderson JD, Wendt J (1995) Computational fluid dynamics.Springer
Baiges J, Codina R, Pont A, Castillo E (2017) An adaptive fixedmesh ALE method for free surface flows. Computer Methods in Applied Mechanics and Engineering 313:159-188
Banner ML, Peregrine DH (1993) Wave breaking in deep water. Annual Review of Fluid Mechanics 25(1):373-397
Bardenhagen SG, Kober EM (2004) The generalized interpolation material point method. Computer Modeling in Engineering and Sciences 5(6):477-496
Batina JT (1990) Unsteady Euler airfoil solutions using unstructured dynamic meshes. AIAA Journal 28(8):1381-1388
Battaglia L, López EJ, Cruchaga MA, Storti MA, D’Elía J (2022) Mesh-moving arbitrary Lagrangian-Eulerian three-dimensional technique applied to sloshing problems. Ocean Engineering 256:111463
Bazilevs Y, Korobenko A, Yan J, Pal A, Gohari SMI, Sarkar S (2015) ALE-VMS formulation for stratified turbulent incompressible flows with applications. Mathematical Models and Methods in Applied Sciences 25(12):2349-2375
Belytschko T, Chen JS, Hillman M (2024) Mesh-free and particle Methods. John Wiley & Sons Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. International journal for numerical methods in engineering 37(2):229-256
Berndt M, Breil J, Galera S, Kucharik M, Maire P-H, Shashkov M (2011) Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods. Journal of Computational Physics 230(17):6664-6687
Bing Y, Cortis M, Charlton TJ, Coombs WM, Augarde CE (2019) Bspline based boundary conditions in the material point method. Computers & Structures 212:257-274
Blom FJ (2000) Considerations on the spring analogy. International Journal for Numerical Methods in Fluids 32(6):647-668
Brackbill JU, Ruppel HM (1986) FLIP:A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions. Journal of Computational Physics 65(2):314-343
Calderer R, Masud A (2010) A multiscale stabilized ALE formulation for incompressible flows with moving boundaries. Computational Mechanics 46:185-197
Camassa R, Holm DD, Hyman JM (1994) A new integrable shallow water equation. Advances in Applied Mechanics 31:1-33
Chen JS, Hillman M, Chi SW (2017a) Mesh-free methods:Progress made after 20 years. Journal of Engineering Mechanics 143(4):04017001
Chen Q, Kelly DM, Dimakopoulos AS, Zang J (2016a) Validation of the PICIN solver for 2D coastal flows. Coastal Engineering 112:87-98
Chen Q, Kelly DM, Zang J (2019a) On the relaxation approach for wave absorption in numerical wave tanks. Ocean Engineering 187:106210
Chen Q, Zang J, Birchall J, Ning D, Zhao X, Gao J (2020) On the hydrodynamic performance of a vertical pile-restrained WECtype floating breakwater. Renewable Energy 146:414-425
Chen Q, Zang J, Dimakopoulos AS, Kelly DM, Williams CJK (2016b) A Cartesian cut cell based two-way strong fluid-solid coupling algorithm for 2D floating bodies. Journal of Fluids and Structures 62:252-271
Chen Q, Zang J, Kelly DM, Dimakopoulos AS (2018a) A 3D parallel Particle-In-Cell solver for wave interaction with vertical cylinders.
Ocean Engineering 147:165-180
Chen Q, Zang J, Ning D, Blenkinsopp C, Gao J (2019b) A 3D parallel particle-in-cell solver for extreme wave interaction with floating bodies. Ocean Engineering 179:1-12
Chen X, Zhang X, Jia Z (2017b) A robust and efficient polyhedron subdivision and intersection algorithm for three-dimensional MMALE remapping. Journal of Computational Physics 338:1-17
Chen ZP, Zhang X, Qiu XM, Liu Y (2017c) A frictional contact algorithm for implicit material point method. Computer Methods in Applied Mechanics and Engineering 321:124-144
Chen ZP, Zhang X, Sze KY, Kan L, Qiu XM (2018b) v-p material point method for weakly compressible problems. Computers & Fluids 176:170-181
Chiandussi G, Bugeda G, Oñate E (2000) A simple method for automatic update of finite element meshes. International Journal for Numerical Methods in Biomedical Engineering 16(1):1-19
Chien SW, Nylund J, Bengtsson G, Peng IB, Podobas A, Markidis S (2020) sputniPIC:an implicit particle-in-cell code for multi-GPU systems. 2020 IEEE 32nd International Symposium on Computer Architecture and High Performance Computing (SBAC-PAD), 149-156
Chorin AJ (1968) Numerical solution of the Navier-Stokes equations. Mathematics of Computation 22(104):745-762
Cushman-Roisin B, Esenkov OE, Mathias BJ (2000) A particle-incell method for the solution of two-layer shallow-water equations. International Journal for Numerical Methods in Fluids 32(5):515-543
Dargush GF, Banerjee PK (1991) A time-dependent incompressible viscous BEM for moderate Reynolds numbers. International Journal for numerical methods in Engineering 31(8):1627-1648
Darlington RM, McAbee TL, Rodrigue G (2002) Large eddy simulation and ALE mesh motion in Rayleigh-Taylor instability simulation. Computer Physics Communications 144(3):261-276
De Boer A, Van der Schoot MS, Bijl H (2007) Mesh deformation based on radial basis function interpolation. Computers & structures 85(11-14):784-795
Étienne S, Garon A, Pelletier D (2009) Perspective on the geometric conservation law and finite element methods for ALE simulations of incompressible flow. Journal of Computational Physics 228(7):2313-2333
Ferrand M, Harris JC (2021) Finite volume arbitrary LagrangianEulerian schemes using dual meshes for ocean wave applications. Computers and Fluids 219:104860
Ferziger JH, Peri? M (2002) Computational methods for fluid dynamics. Springer.
Filipovic N, Mijailovic S, Tsuda A, Kojic M (2006) An implicit algorithm within the arbitrary Lagrangian-Eulerian formulation for solving incompressible fluid flow with large boundary motions. Computer Methods in Applied Mechanics and Engineering 195 (44-47):6347-6361
Formaggia L, Nobile F (2004) Stability analysis of second-order time accurate schemes for ALE-FEM. Computer Methods in Applied Mechanics and Engineering 193(39-41):4097-4116
Fourestey G, Piperno S (2004) A second-order time-accurate ALE Lagrange-Galerkin method applied to wind engineering and control of bridge profiles. Computer Methods in Applied Mechanics and Engineering 193(39-41):4117-4137
Fu ZJ, Xie ZY, Ji SY, Tsai CC, Li AL (2020) Meshless generalized finite difference method for water wave interactions with multiple-bottom-seated-cylinder-array structures. Ocean Engineering 195:106736
Furquan M, Mittal S (2023) Vortex-induced vibration and flutter of a filament behind a circular cylinder. Theoretical and Computational Fluid Dynamics, 1-14
Gan Y, Chen Z, Montgomery-Smith S (2011) Improved material point method for simulating the zona failure response in piezoassisted intracytoplasmic sperm injection. Computer Modeling in Engineering and Sciences 73(1):45
Gan Y, Sun Z, Chen Z, Zhang X, Liu Y (2018) Enhancement of the material point method using B-spline basis functions. International Journal for Numerical Methods in Engineering 113(3):411-431
Gannarelli CMS, Alfe D, Gillan MJ (2003) The particle-in-cell model for ab initio thermodynamics:implications for the elastic anisotropy of the Earth’s inner core. Physics of the Earth and Planetary Interiors 139(3-4):243-253
Gao T, Fu L (2023) A new particle shifting technique for SPH methods based on Voronoi diagram and volume compensation. Computer Methods in Applied Mechanics and Engineering 404:115788
Gao F, Ingram DM, Causon DM, Mingham CG (2007) The development of a Cartesian cut cell method for incompressible viscous flows. International Journal for Numerical Methods in Fluids 54(9):1033-1053
Gao M, Tampubolon AP, Jiang C, Sifakis E (2017) An adaptive generalized interpolation material point method for simulating elastoplastic materials. ACM Transactions on Graphics (TOG) 36(6):1-12
Gao H, Tian H, Gao X (2023) Damage characteristics of cabin in navigational state subjected to near-field underwater explosion. Ocean Engineering 277:114256
Garimella R, Kucharik M, Shashkov M (2007) An efficient linearity and bound preserving conservative interpolation (remapping) on polyhedral meshes. Computers & Fluids 36(2):224-237
Gentry RA, Martin RE, Daly BJ (1966) An Eulerian differencing method for unsteady compressible flow problems. Journal of computational Physics 1(1):87-118
Gilmanov A, Acharya S (2008a) A hybrid immersed boundary and material point method for simulating 3D fluid-structure interaction problems. International Journal for Numerical Methods in Fluids 56(12):2151-2177
Gilmanov A, Acharya S (2008b) A computational strategy for simulating heat transfer and flow past deformable objects. International Journal of Heat and Mass Transfer 51(17-18):4415-4426
Grigoryev YN, Vshivkov VA, Fedoruk MP (2012) Numerical "Particle-in-Cell" Methods:Theory and Applications. Walter de Gruyter
Guilkey JE, Harman TB, Banerjee B (2007) An Eulerian-Lagrangian approach for simulating explosions of energetic devices. Computers
& Structures 85(11-14):660-674
Guo Q, Han X, Fu C, Gast T, Tamstorf R, Teran J (2018) A material point method for thin shells with frictional contact. ACM Transactions on Graphics (TOG) 37(4):1-15
Hamad F, Stolle D, Vermeer P (2015) Modelling of membranes in the material point method with applications. International Journal for Numerical and Analytical Methods in Geomechanics 39(8):833-853
Harlow FH (1964) The particle-in-cell computing method for fluid dynamics. Methods Comput. Phys. 3:319-343
Harlow FH, Welch JE (1965) Numerical calculation of timedependent viscous incompressible flow of fluid with free surface.
The Physics of Fluids 8(12):2182-2189
Hervouet JM (2007) Hydrodynamics of free surface flows:Modelling with the finite element method. John Wiley & Sons
Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics 39(1):201-225
Hou G, Wang J, Layton A (2012) Numerical methods for fluidstructure interaction-a review. Communications in Computational Physics 12(2):337-377
Hu P, Xue L, Qu K, Ni K, Brenner M (2009) Unified solver for modeling and simulation of nonlinear aeroelasticity and fluidstructure interactions. AIAA Atmospheric Flight Mechanics Conference, 6148
Hübner B, Walhorn E, Dinkler D (2004) A monolithic approach to fluid-structure interaction using space-time finite elements. Computer Methods in Applied Mechanics and Engineering 193(23-26):2087-2104
Huerta A, Liu WK (1988) Viscous flow with large free surface motion. Computer Methods in Applied Mechanics and Engineering 69(3):277-324
Hughes TJ, Liu WK, Zimmermann TK (1981) Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 29(3):329-349
Hussain M, Abid M, Ahmad M, Khokhar A, Masud A (2011) A parallel implementation of ALE moving mesh technique for FSI problems using OpenMP. International Journal of Parallel Programming 39:717-745
Issakhov A, Imanberdiyeva M (2020) Numerical simulation of the water surface movement with macroscopic particles of dam break flow for various obstacles. Water Resources Management 34:2625-2640
Jacobsen NG, Fuhrman DR, Fredsøe J (2012) A wave generation toolbox for the open-source CFD library:OpenFoam?.
International Journal for Numerical Methods in Fluids 70(9):1073-1088
Jasak H, Jemcov A, Tukovic Z (2007) OpenFOAM:A C++ library for complex physics simulations. International Workshop on Coupled Methods in Numerical Dynamics, 1-20
Jassim I, Stolle D, Vermeer P (2013) Two-phase dynamic analysis by material point method. International Journal for Numerical and Analytical Methods in Geomechanics 37(15):2502-2522
Jia H, Xiao X, Kang Y (2019) Investigation of a free rising bubble with mass transfer by an arbitrary Lagrangian-Eulerian method. International Journal of Heat and Mass Transfer 137:545-557
Jiang C (2015) The affine particle-in-cell method. ACM Transactions on Graphics 34(4):10
Jiang GS, Shu CW (1996) Efficient implementation of weighted ENO schemes. Journal of Computational Physics 126(1):202-228
Jiang C, Yao JY, Zhang ZQ, Gao GJ, Liu GR (2018) A sharpinterface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids. Comput. Methods Appl. Mech. Engrg. 340:24-53
Karman Jr SL, Anderson WK, Sahasrabudhe M (2006) Mesh generation using unstructured computational meshes and elliptic partial differential equation smoothing. AIAA Journal 44(6):1277-1286
Kelly DM, Chen Q, Zang J (2015) PICIN:A particle-in-cell solver for incompressible free surface flows with two-way fluid-solid coupling. SIAM Journal on Scientific Computing 37(3):B403-B424
Kennon S, Meyering J, Berry C, Oden J (1992) Geometry based Delaunay tetrahedralization and mesh movement strategies for multi-body CFD. Astrodynamics Conference
Kim JH, Shin HC (2008) Application of the ALE technique for underwater explosion analysis of a submarine liquefied oxygen tank. Ocean Engineering 35(8-9):812-822
Koshizuka S, Oka Y (1996) Moving-particle semi-implicit method for fragmentation of incompressible fluid. Nuclear Science and Engineering 123(3):421-434
Kucharík M, Shashkov M (2012) One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods. Journal of Computational Physics 231(7):2851-2864
Kucharik M, Shashkov M (2014) Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods. Journal of Computational Physics 258:268-304
Kumar M, Reddy R, Banerjee R, Mangadoddy N (2021) Effect of particle concentration on turbulent modulation inside hydrocyclone using coupled MPPIC-VOF method. Separation and Purification Technology 266:118206
Li JG, Hamamoto Y, Liu Y, Zhang X (2014) Sloshing impact simulation with material point method and its experimental validations. Computers & Fluids 103:86-99
Li MJ, Lian Y, Zhang X (2022) An immersed finite element material point (IFEMP) method for free surface fluid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering 393:114809
Li F, Pan J, Sinka C (2011) Modelling brittle impact failure of disc particles using material point method. International Journal of Impact Engineering 38(7):653-660
Lian YP, Liu Y, Zhang X (2014) Coupling of membrane element with material point method for fluid-membrane interaction problems. International Journal of Mechanics and Materials in Design 10:199-211
Lian YP, Zhang X, Liu Y (2011a) Coupling of finite element method with material point method by local multi-mesh contact method. Computer Methods in Applied Mechanics and Engineering 200(47-48):3482-3494
Lian YP, Zhang X, Zhou X, Ma ZT (2011b) A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. Computer Methods in Applied Mechanics and Engineering 200(17-20):1659-1670
Liang Y, Zhang X, Liu Y (2019) An efficient staggered grid material point method. Computer Methods in Applied Mechanics and Engineering 352:85-109
Liefvendahl M, Troëng C (2007) Deformation and regeneration of the computational grid for cfd with moving boundaries. 45th AIAA Aerospace Sciences Meeting and Exhibit, 1458
Liu G (2009) Mesh-free methods:Moving beyond the finite element method. CRC Press Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. International Journal for Numerical Methods in Fluids 20(8-9):1081-1106
Liu GR, Liu MB (2003) Smoothed particle hydrodynamics:A meshfree particle method. World Scientific, New Jersey Liu MB, Liu GR (2010) Smoothed particle hydrodynamics (SPH):an overview and recent developments. Archives of Computational Methods in Engineering 17(1):25-76
Löhner R, Yang C (1996) Improved ALE mesh velocities for moving bodies. Communications in Numerical Methods in Engineering 12(10):599-608
Lomtev I, Kirby RM, Karniadakis GE (1999) A discontinuous Galerkin ALE method for compressible viscous flows in moving domains. Journal of Computational Physics 155(1):128-159
Lucy LB (1977) Numerical approach to the testing of the fission hypothesis. The Astronomical Journal 82:1013-1024
Luke E, Collins E, Blades E (2012) A fast mesh deformation method using explicit interpolation. Journal of Computational Physics 231(2):586-601
Lyu HG, Sun PN (2022) Further enhancement of the particle shifting technique:Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows. Applied Mathematical Modelling 101:214-238
Lyu HG, Sun PN, Miao JM, Zhang AM (2022) 3D multi-resolution SPH modeling of the water entry dynamics of free-fall lifeboats. Ocean Engineering 257:111648
Ma S, Zhang X, Lian Y, Zhou X (2009a) Simulation of high explosive explosion using adaptive material point method. Computer Modeling in Engineering and Sciences (CMES) 39(2):101
Ma S, Zhang X, Qiu XM (2009b) Comparison study of MPM and SPH in modeling hypervelocity impact problems. International Journal of Impact Engineering 36(2):272-282
Mackenzie JA, Madzvamuse A (2011) Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain. IMA Journal of Numerical Analysis 31(1):212-232
Mao S (2013) Material point method and adaptive meshing applied to fluid-structure interaction (FSI) problems. Fluids Engineering Division Summer Meeting, V01BT13A004
Mao S, Chen Q, Li D, Feng Z (2016) Modeling of free surface flows using improved material point method and dynamic adaptive mesh refinement. Journal of Engineering Mechanics 142(2):04015069
Markidis S, Lapenta G (2011) The energy conserving particle-in-cell method. Journal of Computational Physics 230(18):7037-7052
Monaghan JJ (1985) Particle methods for hydrodynamics. Computer Physics Reports 3(2):71-124
Monaghan JJ (2005) Smoothed particle hydrodynamics. Reports on Progress in Physics 68(8):1703
Nestor RM, Basa M, Lastiwka M, Quinlan NJ (2009) Extension of the finite volume particle method to viscous flow. Journal of Computational Physics 228(5):1733-1749
Newman JN (2018) Marine hydrodynamics. The MIT Press Nguyen VP, Nguyen CT, Rabczuk T, Natarajan S (2017) On a family of convected particle domain interpolations in the material point method. Finite Elements in Analysis and Design 126:50-64
Noh WF (1963) CEL:A time-dependent, two-space-dimensional, coupled Eulerian-Lagrange code. Lawrence Radiation Lab., Univ.
of California, Livermore
Olsson E, Kreiss G (2005) A conservative level set method for two phase flow. Journal of Computational Physics 210(1):225-246
Pan W, Tartakovsky AM, Monaghan JJ (2013) Smoothed particle hydrodynamics non-Newtonian model for ice-sheet and ice-shelf dynamics. Journal of Computational Physics 242:828-842
Pavia EG, Cushman-Roisin B (1988) Modeling of oceanic fronts using a particle method. Journal of Geophysical Research:Oceans 93(C4):3554-3562
Pavia EG, Cushman-Roisin B (1990) Merging of frontal eddies. Journal of Physical Oceanography 20(12):1886-1906
Peery JS, Carroll DE (2000) Multi-material ALE methods in unstructured grids. Computer Methods in Applied Mechanics and Engineering 187(3-4):591-619
Peng YX, Zhang AM, Wang SP (2021) Coupling of WCSPH and RKPM for the simulation of incompressible fluid-structure interactions. Journal of Fluids and Structures 102:103254
Persson P-O, Bonet J, Peraire J (2009) Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains. Computer Methods in Applied Mechanics and Engineering 198(17-20):1585-1595
Peskin CS (2002) The immersed boundary method. Acta Numerica 11:479-517
Piperno S, Farhat C (2001) Partitioned procedures for the transient solution of coupled aeroelastic problems-Part II:energy transfer analysis and three-dimensional applications. Computer Methods in Applied Mechanics and Engineering 190(24-25):3147-3170
Piperno S, Farhat C, Larrouturou B (1995) Partitioned procedures for the transient solution of coupled aroelastic problems Part I:Model problem, theory and two-dimensional application. Computer Methods in Applied Mechanics and Engineering 124(1-2):79-112
Powell D, Abel T (2015) An exact general remeshing scheme applied to physically conservative voxelization. Journal of Computational Physics 297:340-356
Qian Z, Liu M, Wang L, Zhang C (2023a) Extraction of Lagrangian coherent structures in the framework of the Lagrangian-Eulerian stabilized collocation method (LESCM). Computer Methods in Applied Mechanics and Engineering 416:116372
Qian Z, Liu M, Wang L, Zhang C (2024) Improved Lagrangian coherent structures with modified finite-time Lyapunov exponents in the PIC framework. Computer Methods in Applied Mechanics and Engineering 421:116776
Qian Z, Wang L, Zhang C, Chen Q (2022) A highly efficient and accurate Lagrangian-Eulerian stabilized collocation method(LESCM) for the fluid-rigid body interaction problems with free surface flow. Computer Methods in Applied Mechanics and Engineering 398:115238
Qian Z, Wang L, Zhang C, Liu Q, Chen Q, Lü X (2023b) Numerical modeling of water waves with the highly efficient and accurate Lagrangian-Eulerian stabilized collocation method (LESCM). Applied Ocean Research 138:103672
Qian Z, Wang L, Zhang C, Zhong Z, Chen Q (2023c) Conservation and accuracy studies of the LESCM for incompressible fluids.
Journal of Computational Physics 489:112269
Qing H, Guangkun L, Wei W, Congkun Z, Xiaodong S (2024)
Failure mode and damage assessment of underground reinforced concrete arched structure under side top explosion. Structures 59:105801
Qu Z, Li M, De Goes F, Jiang C (2022) The power particle-in-cell method. ACM Transactions on Graphics 41(4):118
Rabczuk T, Gracie R, Song JH, Belytschko T (2010a) Immersed particle method for fluid-structure interaction. International Journal for Numerical Methods in Engineering 81(1):48-71
Rabczuk T, Song JH, Belytschko T (2009) Simulations of instability in dynamic fracture by the cracking particles method. Engineering Fracture Mechanics 76(6):730-741
Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H (2010b) A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering 199(37-40):2437-2455
Ralston A (1962) Runge-Kutta methods with minimum error bounds. Mathematics of Computation 16(80):431-437
Ranjbari P, Emamzadeh M, Mohseni A (2023) Numerical analysis of particle injection effect on gas-liquid two-phase flow in horizontal pipelines using coupled MPPIC-VOF method. Advanced Powder Technology 34(11):104235
Remmerswaal G, Vardon P, Hicks M, Acosta JG (2017) Development and implementation of moving boundary conditions in the material point method. ALERT Geomater 28:28-29
Rendall TC, Allen CB (2009) Efficient mesh motion using radial basis functions with data reduction algorithms. Journal of Computational Physics 228(17):6231-6249
Rider WJ, Kothe DB (1998) Reconstructing volume tracking. Journal of Computational Physics 141(2):112-152
Sadeghirad A, Brannon RM, Burghardt J (2011) A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations. International Journal for Numerical Methods in Engineering 86(12):1435-1456
Smith R (2011) A PDE-based mesh update method for moving and deforming high Reynolds number meshes. 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 472
Smith R, Wright J (2010) A classical elasticity-based mesh update method for moving and deforming meshes. 48th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, 164
Snider DM (2001) An incompressible three-dimensional multiphase particle-in-cell model for dense particle flows. Journal of Computational Physics 170(2):523-549
Song X, Yang Y, Cheng Y, Wang Y, Zheng H (2024) Study on copperstainless steel explosive welding for nuclear fusion by generalized interpolated material point method and experiments. Engineering Analysis with Boundary Elements 160:160-172
Sotiropoulos F, Yang X (2014) Immersed boundary methods for simulating fluid-structure interaction. Progress in Aerospace Sciences 65:1-21
Souli M, Benson DJ (2013) Arbitrary Lagrangian Eulerian and fluidstructure interaction:Numerical simulation. John Wiley & Sons Su YC, Tao J, Jiang S, Chen Z, Lu JM (2020) Study on the fully coupled thermodynamic fluid-structure interaction with the material point method. Computational Particle Mechanics 7(2):225-240
Sulsky D, Chen Z, Schreyer HL (1994) A particle method for historydependent materials. Computer Methods in Applied Mechanics and Engineering 118(1-2):179-196
Sulsky D, Zhou S-J, Schreyer HL (1995) Application of a particle-incell method to solid mechanics. Computer Physics Communications 87(1-2):236-252
Sumaila UR, Walsh M, Hoareau K, Cox A, Teh L, Abdallah P, et al.(2021) Financing a sustainable ocean economy. Nature Communications 12(1):3259
Sun PN, Colagrossi A, Marrone S, Zhang AM (2016) Detection of Lagrangian coherent structures in the SPH framework. Computer Methods in Applied Mechanics and Engineering 305:849-868
Sun Z, Huang Z, Zhou X (2019) Benchmarking the material point method for interaction problems between the free surface flow and elastic structure. Progress in Computational Fluid Dynamics, an International Journal 19(1):1-11
Sun L, Mathur SR, Murthy JY (2010) An unstructured finite-volume method for incompressible flows with complex immersed boundaries. Numerical Heat Transfer, Part B:Fundamentals 58(4):217-241
Sun P, Ming F, Zhang A (2015) Numerical simulation of interactions between free surface and rigid body using a robust SPH method. Ocean Engineering 98:32-49
Tampubolon AP, Gast T, Klár G, Fu C, Teran J, Jiang C, et al. (2017) Multi-species simulation of porous sand and water mixtures. ACM Transactions on Graphics 36(4):105
Tan WY (1992) Shallow water hydrodynamics:Mathematical theory and numerical solution for a two-dimensional system of shallowwater equations. Elsevier
Tang HS, Jones SC, Sotiropoulos F (2003) An overset-grid method for 3D unsteady incompressible flows. Journal of Computational Physics 191(2):567-600
Tang Z, Wan D, Chen G, Xiao Q (2016) Numerical simulation of 3D violent free-surface flows by multi-resolution MPS method.Journal of Ocean Engineering and Marine Energy 2:355-364
Tezduyar TE, Behr M, Mittal S, Johnson AA (1992) Computation of unsteady incompressible flows with the stabilized finite element methods:Space-time formulations, iterative strategies and massively parallel implementations. New Methods in Transient Analysis
Thomas P, Lombard C (1978) The geometric conservation law-a link between finite-difference and finite-volume methods of flow computation on moving grids. 11th Fluid and PlasmaDynamics Conference, 1208
Thomas PD, Lombard CK (1979) Geometric conservation law and its application to flow computations on moving grids. AIAA Journal 17(10):1030-1037
Tucker PG, Pan Z (2000) A Cartesian cut cell method for incompressible viscous flow. Applied Mathematical Modelling 24(8-9):591-606
de Vaucorbeil A, Nguyen VP, Hutchinson CR (2020) A totalLagrangian material point method for solid mechanics problems involving large deformations. Computer Methods in Applied Mechanics and Engineering 360:112783
Wall WA, Genkinger S, Ramm E (2007) A strong coupling partitioned approach for fluid-structure interaction with free surfaces. Computers & Fluids 36(1):169-183
Wang Q, Hu R (2012) Adjoint-based optimal variable stiffness mesh deformation strategy based on bi-elliptic equations. International Journal for Numerical Methods in Engineering 90(5):659-670
Wang S, Islam H, Guedes Soares C (2021a) Uncertainty due to discretization on the ALE algorithm for predicting water slamming loads. Marine Structures 80:103086
Wang L, Liu Y, Zhou Y, Yang F (2021b) A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates. Computational Mechanics 68(4):709-739
Wang L, Qian Z (2020) A mesh-free stabilized collocation method(SCM) based on reproducing kernel approximation. Computer Methods in Applied Mechanics and Engineering 371:113303
Wang S, Guedes Soares C (2016) Stern slamming of a chemical tanker in irregular head waves. Ocean Engineering 122:322-332
Witteveen J (2010) Explicit and robust inverse distance weighting mesh deformation for CFD. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, 165
Xiang T, Istrati D (2021) Assessment of extreme wave impact on coastal decks with different geometries via the arbitrary Lagrangian-Eulerian method. Journal of Marine Science and Engineering 9(12):1342
Xie Z (2022) An implicit Cartesian cut-cell method for incompressible viscous flows with complex geometries. Computer Methods in Applied Mechanics and Engineering 399:115449
Yang WC, Arduino P, Miller GR, Mackenzie HP (2018) Smoothing algorithm for stabilization of the material point method for fluid- solid interaction problems. Computer Methods in Applied Mechanics and Engineering 342:177-199
Yang H, Lu Y, Zuo L, Yuan C, Lu Y, Zhu H (2023) Numerical analysis of interaction between flow characteristics and dynamic response of interlocked concrete block mattress during sinking process. Ocean Engineering 286:115574
Yang Y, Özgen S, Kim H (2021) Improvement in the spring analogy mesh deformation method through the cell-center concept. Aerospace Science and Technology 115:106832
York AR, Sulsky D, Schreyer HL (1999) The material point method for simulation of thin membranes. International Journal for Numerical Methods in Engineering 44(10):1429-1456
York AR, Sulsky D, Schreyer HL (2000) Fluid-membrane interaction based on the material point method. International Journal for Numerical Methods in Engineering 48(6):901-924
Yu S, Wu H, Xu J, Wang Y, Gao J, Wang Z, et al. (2023) A generalized external circuit model for electrostatic particle-in-cell simulations. Computer Physics Communications 282:108468
Zhang ZL, Khalid MSU, Long T, Liu MB, Shu C (2021) Improved element-particle coupling strategy with δ-SPH and particle shifting for modeling sloshing with rigid or deformable structures. Applied Ocean Research 114:102774
Zhang AM, Li SM, Cui P, Li S, Liu YL (2023) A unified theory for bubble dynamics. Physics of Fluids 35(3):033323
Zhang H, Zhang Z, He F, Liu M (2022) Numerical investigation on the water entry of a 3D circular cylinder based on a GPUaccelerated SPH method. European Journal of Mechanics, B. Fluids 94:1-16
Zhang F, Zhang X, Liu Y (2018a) An augmented incompressible material point method for modeling liquid sloshing problems. International Journal of Mechanics and Materials in Design 14(1):141-155
Zhang F, Zhang X, Sze KY, Lian Y, Liu Y (2017) Incompressible material point method for free surface flow. Journal of Computational Physics 330:92-110
Zhang F, Zhang X, Sze KY, Liang Y, Liu Y (2018b) Improved incompressible material point method based on particle density correction. International Journal of Computational Methods 15(7):1850061
Zhang DZ, Zou Q, VanderHeyden WB, Ma X (2008) Material point method applied to multiphase flows. Journal of Computational Physics 227(6):3159-3173
Zhao X, Liang D, Martinelli M (2017) MPM simulations of dambreak floods. Journal of Hydrodynamics 29(3):397-404
Zheng J, Zhao M (2024) Fluid-structure interaction of spherical pressure hull implosion in deep-sea pressure:Experimental and numerical investigation. Ocean Engineering 291:116378
Zhu Q, Xu F, Xu S, Hsu M-C, Yan J (2020) An immersogeometric formulation for free-surface flows with application to marine engineering problems. Computer Methods in Applied Mechanics and Engineering 361:112748