Monographs：
Liu M. B., Liu G. R., Particle methods for multi-scale and multi-physics, World Scientific, 2015 (http://www.worldscientific.com/worldscibooks/10.1142/9017，国际上第一部多尺度多物理场粒子模拟英文专著, ISBN: 978-981-4571962).
Liu G. R. Liu, Liu M. B., Smoothed particle hydrodynamics–A meshfree particle method, World Scientific, 2003 (http://www.worldscientific.com/ worldscibooks/10.1142/5340，国际上第一部SPH英文专著，中文译本: 韩旭, 杨刚,强洪夫. 光滑粒子流体动力学-一种无网格粒子法. 长沙:湖南大学出版社, ISBN: 981-238-456-1).
Edited books：
Liu M. B., Han X. Gu Y. T. and Li Z. R., Advances in Computational Engineering Science, ScienTech Publisher, 2017 (ISBN: 978-1-946018-01-4).
Liu M. B., C. Hang, Advances of Smoothed Particle Hydrodynamics, ScienTech Publisher, 2017(ISBN: 978-1-946018-02-1)
Guest editor：
Patrizia Trovalusci and Liu M. B., IJCM Special Issue on ICCM 2018, Rome, International Journal of Computational Methods, Volume 17, No. 5, 2020.
Liu M. B., Huang C. and Zhang A. M., Special Column on SPHERIC Beijing 2017: Journal of Hydrodynamics, Volume 30, No. 1, 2018.
Liu M. B., IJCM Special Issue on SPH: International Journal of Computational Methods, Volume 16, No. 2, 2019.
Liu M. B., EABE Special Issue on Particle-based methods (EABE4267) , 2020 (https://www.sciencedirect.com/journal/engineering-analysis-with-boundary-elements/special-issue/10H827ZD1KV)
Selected Journal papers:
2021年
J- [130] W. B. Wu, A. M. Zhang, M. B. Liu*. 2021. A cell-centered indirect Arbitrary-Lagrangian-Eulerian discontinuous Galerkin scheme on moving unstructured triangular meshes with topological adaptability, Journal of Computational Physics 438, 110368.
J- [129] F. Zhang, T. G. Liu, M. B. Liu*. 2021. A High-Order Maximum-Principle-Satisfying Discontinuous Galerkin Method for the Level Set Problem, Journal of Scientific Computing 87, 45.
J- [128] M.S.U. Khalid, J. S. Wang, I. Akhtar, H. B. Dong, M. B. Liu*, and A. Hemmati. 2021. Why do anguilliform swimmers perform undulation with wavelengths shorter than their body-lengths?, Physics of Fluids 33, 031911.
J- [127] T. Long, C. Huang, D. A. Hu, M. B. Liu*(2021) Coupling edge-based smoothed fnite element method with smoothed particle hydrodynamics for fluid structure interaction problems. Ocean Engineering 225: 108772.
J- [126] M. Usman, M. Hamid, M. B. Liu* (2021) Novel operational matrices-based finite difference/spectral algorithm for a class of time-fractional Burger equation in multidimensions. Chaos, Solitons and Fractals 144: 110701.
J- [125] W. B. Wu, M. B. Liu*, A. M. Zhang, Y. L. Liu (2021) Fully coupled model for simulating highly nonlinear dynamic behaviors of a bubble near an elastic-plastic thin-walled plate. Physical Review Fluids 6: 013605.
J- [124] M. Usman*, M. Hamid, M. B. Liu* (2021) Higher-order algorithms for stable solutions of fractional time-dependent nonlinear telegraph equations in space. Numerical Methods for Partial Differential Equations (in press).
J- [123] M. Usman*, M. Hamid, R. U. Haq, M. B. Liu* (2021) Linearized novel operational matrices-based scheme for classes of nonlinear time-space fractional unsteady problems in 2d. Applied Numerical Mathematics.372:124985.
J- [122] M. S. U. Khalid, J. S. Wang, I. Akhtar, H. B. Dong, M. B. Liu* (2021) Modal decompositions of the kinematics of crevalle jack and the fluid-caudal fin interaction. Bioinspiration & Biomimetics. 16:016018.
J- [121] G. P. Zhu, H. Z. Li, Z. K. Wang, T. Zhang, M. B. Liu* (2021) Semi-resolved CFD-DEM modeling of gas-particle two-phase flow in the micro-abrasive air jet machining. Powder Technology. 381：535-560.
J- [120] P. Y. Yang, C. Huang, Z. L. Zhang, T. Long, M. B. Liu* (2021) Simulating natural convection with high Rayleigh numbers using the smoothed particle hydrodynamics method. International Journal of Heat and Mass Transfer. (166):120758.
J- [119] F. Zhang, T. G. Liu, M. B. Liu* (2021) A third-order weighted variational reconstructed discontinuous galerkin method for solving incompressible flows. Applied Mathematical Modelling. 91:1037-1060.
2020年
J- [118] C. Huang and M. B. Liu* (2020). Modeling hydrate‑bearing sediment with a mixed smoothed particle hydrodynamics. Computational Mechanics 66:877-891.
J- [117] Z. K. Wang and M. B. Liu* (2020). Semi-resolved CFD-DEM for thermal particulate flows with applications tofluidized beds. International Journal of Heat & Mass Transfer 159:120150.
J- [116] Z. K. Wang, M. B. Liu* and X. Yang* (2020). A four-way coupled CFD-DEM modeling framework for charged particles under electrical field with applications to gas insulated switchgears. Powder Technology 373:433-445.
J- [115] M. B. Liu* (2020). Particle-based methods: Fundamentals and applications. Engineering Analysis with Boundary Elements 118: 203. doi.org/10.1016/j.enganabound.2020.06.003 (EABE Special Issue Preface)
J- [114] M. Usman, M. Hamid, M. S. U. Khalid and M. B. Liu* (2020). A robust scheme based on novel-operational matrices for some classes of time-fractional nonlinear problems arising in mechancis and mathematical physics. Numerical Methods for Partial Differential Equations 36(6): 1566-1600.
J- [113] M. S. U. Khalid, J. S. Wang, H. B. Dong and M. B. Liu* (2020). Flow transitions and mapping for undulating swimmers. Physical Review Fluids 5: 063104.
J- [112] J. T. Li, T. Ma, C. Huang, X. C. Huang, Y. Kang, Z. Z. Long and M. B. Liu* (2020). Protective Mechanism of Helmet Under Far-field Shock Wave. International Journal of Impact Engineering. 143: 103617.
J- [111] T. Long, P. Y. Yang, M. B. Liu* (2020) A novel coupling approach of smoothed finite element method with sph for thermal fluid structure interaction problems. International Journal of Mechanical Sciences. 174:105558.
J- [110] Z. L. Zhang, M. S. U. Khalid, T. Long, J. Z. Chang, M. B. Liu* (2020) Investigations on sloshing mitigation using elastic baffles by coupling smoothed finite element method and decoupled finite particle method. Journal of Fluids and Structures. 94:102942 (中科院力学/工程技术1区，Top期刊，Q1 Journal).
J- [109] W. B. Wu, A. M. Zhang, Y. L. Liu, M. B. Liu* (2020) Interaction between shock wave and a movable sphere with cavitation effects in shallow water. Physics of Fluids (中科院工程技术/力学2区，Top期刊，Featured article, Q1 Journal).
J- [108] M. Usman*, M. Hamid, T. Zubair, R. U. Haq, W. Wang, M. B. Liu (2020) Novel operational matrices-based method for solving fractional-order delay differential equations via shifted gegenbauer polynomials. Applied Mathematics and Computation. 372 124985 (中科院数学1区，Top期刊，Q1 Journal).
J- [107] F. He, H. S. Zhang, C. Huang*, M. B. Liu* (2020) Numerical investigation of the solitary wave breaking over a slope by using the fnite particle method. Coastal Engineering. 156:103617 (中科院工程/海洋1区，Top期刊，Q1 Journal).
2019年
J- [106] M. Usman, Z. H. Khan, M. B. Liu* (2019) Mhd natural convection and thermal control inside a cavity with obstacles under the radiation effects. Physica A. 10.1016/j.physa.2019.122443.
J- [105] Z. L. Zhang, T. Long, J. Z. Chang, M. B. Liu* (2019) A smoothed particle element method (spem) for modeling fluid–structure interaction problems with large fluid deformations. Computer Methods In Applied Mechanics And Engineering. 365:261–293.
J- [104] C. Huang, T. Long, S. M. Li, M. B. Liu* (2019) A kernel gradient-free sph method with iterative particle shifting technology for modeling low-reynolds flows around airfoils. Engineering Analysis With Boundary Elements. 106(1):571–587.
J- [103] Z. K. Wang, W. Khuram, M. B. Liu* (2019) A velocity corrected unresolved cfd-dem coupled method to reproduce wake effects at moderate reynolds number. Engineering Computations. 10.1108/EC-10-2018-0454.
J- [102] Z. K. Wang, H. T. Yang, C. Huang, M. B. Liu* (2019) Asymptotics of a catenoid liquid bridge between two spherical particles with different radii and contact angles. Physics of Fluids. 10.1063/1.5099654.
J- [101] Z. K. Wang, M. B. Liu* (2019) Dimensionless analysis on selective laser melting to predict porosity and track morphology. Journal of Materials Processing Technology. 273:116238.
J- [100] K. Walayat, Z. L. Zhang, K. Usman, J. Z. Chang, M. B. Liu* (2019) Fully resolved simulations of thermal convective suspensions of elliptic particles using a multigrid fictitious boundary method. International Journal of Heat and Mass Transfer. 139:802-821.
J- [99] Z. L. Zhang, M. B. Liu (2019) Numerical studies on explosive welding with ANFO by using a density adaptive sph method. Journal of Manufacturing Processes. 41:208–220.
J- [98] C. Huang, M. B. Liu*, B. Wang, Y. P. Zhang (2019) Underwater explosion of slender explosives: Directional effects of shock waves and structure responses. International Journal of Impact Engineering. 130:266-280.
J- [97] C. Huang, T. Long, M. B. Liu* (2019) Coupling finite difference method with finite particle method for modeling viscous incompressible flows. International Journal For Numerical Methods In Fluids. 51(1). 10.1002/fld.4735.
J- [96] Z. K. Wang, Y. J. Teng, M. B. Liu* (2019) A semi-resolved cfd-dem approach for particulate flows with kernel based approximation and Hilbert curve based searching strategy. Journal of Computational Physics. DOI: 10.1016/j.jcp.2019.01.017.
J- [95] M. B. Liu*，Z. L. Zhang (2019) Smoothed particle hydrodynamics (SPH) for modeling fluid-structure interactions. SCIENCE CHINA Physics, Mechanics & Astronomy. 10.1007/s11433-018-9357-0.
J- [94] X. Weng, C. Huang, S. M. Li, M. B. Liu* (2019) An integrated finite particle method with perfectly matched layer for modeling wave-structure interaction. Coastal Engineering Journal. DOI: 10.1080/21664250.2018.1560681.
J- [93] J. T. Li, C. Huang, T. Ma, X. C. Huang, W. P. Li, M. B. Liu* (2019) Numerical investigation of composite laminate subjected to combined loadings with blast and fragments. Composite Structures. 214:335-347.
J- [92] C. Huang, X. Weng, M. B. Liu* (2019) Study on low-speed water entry of super-hydrophobic small spheres[超疏水小球低速入水空泡研究]. Chinese Journal of Theoretical and Applied Mechanics[力 学 学 报]. DOI: 11.2062.O3.20181018.1636.002.
J- [91] T. Ye, D. Y. Pan, C. Huang, M. B. Liu* (2019) Smoothed particle hydrodynamics (sph) for complex fluid flows: Recent developments in methodology and applications. Physics of Fluids. 31:011301.
J- [90] Z. L. Zhang, K. Walayat, J. Z. Chang, M. B. Liu* (2019) A finite particle method with particle shifting technique for modeling particulate flows with thermal convection. International Journal of Heat and Mass Transfer. 128:1245-1262. https://doi.org/10.1002/nme.5935.
J- [89] Z. L. Zhang, D. L. Feng, T. Ma, M. B. Liu* (2019) Predicting the damage on a target plate produced by hypervelocity impact using a decoupled finite particle method. Engineering Analysis With Boundary Elements. 98:110-125.
2018年
J- [88] K. Walayat, Z. L. Zhang, K. Usman, J. Z. Chang, M. B. Liu* (2018) Dynamics of elliptic particle sedimentation with thermal convection. Physics of Fluids. 30:103301.
J- [87] Z. L. Zhang, K. Walayat, J. Z. Chang, M. B. Liu* (2018) Meshfree modeling of a fluid-particle two-phase flow with an improved SPH method. Int. Journal for Numerical Methods In Engineering. https://doi.org/10.1002/nme.5935.
J- [86] Z. L. Zhang, M. B. Liu* (2018) A decoupled finite particle method for modeling incompressible flows with free surfaces. Applied Mathematical Modelling. 60:606-633.
J- [85] Z. L. Zhang, T. Ma, D. L. Feng, M. B. Liu* (2018) A new formula for predicting the crater size of a target plate produced by hypervelocity impact. International Journal of Computational Methods. 15(1):1844004.
J- [84] Z. L. Zhang, T. Ma, M. B. Liu*, D. L. Feng (2018) Numerical study on high velocity impact welding using a modified SPH method. International Journal of Computational Methods. 15(3):1846001.
J- [83] Z. L. Zhang, D. L. Feng, M. B. Liu* (2018) Investigation of explosive welding through whole process modeling using a density adaptive SPH method. Journal of Manufacturing Processes. 35:169–189.
J- [82] Z. K. Wang, W. T. Yan, W. K. Liu, M. B. Liu* (2018) Powder-scale multi-physics modeling of multi-layer multi-track selective laser melting with sharp interface capturing method. Computational Mechanics. 10.1007/s00466-018-1614-5.
J- [81] K. Walayat, Z. K. Wang, K. Usman, M. B. Liu* (2018) An efficient multi-grid finite element fictitious boundary method for particulate flows with thermal convection. International Journal of Heat and Mass Transfer. 126:452-465.
J- [80] J. R. Shao, Y. Yang, H. F. Gong, M. B. Liu* (2018) Numerical simulation of water entry with improved SPH method. Int. Journal of Computational Methods. 10.1142/S0219876218460040.
J- [79] M. B. Liu*, H. Huang, A. M. Zhang (2018) Modelling incompressible flows and fluid-structure interaction problems with smoothed particle hydrodynamics: Briefing on the 2017 SPHERIC Beijing international workshop. Journal of Hydrodynamics. 30(1):34-37.
2017年
J- [78]杨秀峰, 刘谋斌* (2017) 瑞利-泰勒不稳定问题的光滑粒子法(SPH)模拟研究. 物理学报. 66(16):164701. DOI: 10.7498/aps.66.164701.
J- [77] G. X. Zhu, L. Zou, Z. Chen, A. M. Wang, M. B. Liu* (2017) An improved sph model for multiphase flows with large density ratios. International Journal For Numerical Methods In Fluids. 86(2):167–184. 10.1002/fld.4412.
J- [76] Z. L. Zhang, D. L. Feng, M. B. Liu* (2017) Smoothed particle hydrodynamics with kernel gradient correction for modeling high velocity impact in two- and three-dimensional spaces. Engineering Analysis With Boundary Elements. 83:141-157.
J- [75] X. F. Yang, M. B. Liu* (2017) Particle-based modeling of asymmetric flexible fibers in viscous flows. Communications in Computational Physics. 22(4):1015-1027.
J- [74] M. B. Liu*, Z. L. Zhang, D. L. Feng (2017) A density-adaptive sph method with kernel gradient correction for modeling explosive welding. Computational Mechanics. 60:513-529. DOI 10.1007/s00466-017-1420-5.
2016年
J- [73] X. F. Yang, M. B. Liu* (2016), Delaunay triangulation and free surface extraction for SPH method, Chinese Journal of Computational Mechanics, 33(4):594-598.
J- [72] M. B. Liu*, S.M. Li, On the modeling of viscous incompressible flows with smoothed particle hydro-dynamics, Journal of Hydrodynamics, Ser. B, 28 (2016) 731-745.
J- [71] Y. Xiufeng, M. B. Liu*, Bending modes and transition criteria for a flexible fiber in viscous flows, Journal of Hydrodynamics, Ser. B, 28 (2016) 1043-1048.
J- [70] L.V. Zhou, Y.Q. Zhang, X.L. Deng, M. B. Liu*, DPD Simulation of the Movement and Deformation of Bioconcave Cells, International Journal of Computational Methods, 13 (2016) 1641003.
J- [69] L.V. Zhou, Y.Q. Zhang, X.L. Deng, M. B. Liu*, Dissipative particle dynamics simulation of flow through periodic arrays of circular micropillar, Applied Mathematics and Mechanics, 13 (2016) 1641003.
J- [68] J. R. Shao, S. M. Li, and M. B. Liu* (2016) Numerical Simulation of Violent Impinging Jet Flows with Improved Sph Method, Int J of Computational Methods,DOI: 10.1142/S0219876216410012.
J- [67] C. Huang, J. M. Lei, M. B. Liu*, and X. Y. Peng (2016) An improved KGF-SPH with a novel discrete scheme of laplacian operator for viscous incompressible fluid flows, International Journal For Numerical Methods In Fluids, 81: 377–96.
J- [66] X.F. Yang, M. B. Liu*, S. L. Peng and C. G. Huang (2016) Numerical modeling of dam-break flow impacting on flexible structures using an improved SPH-EBG method, Coastal Engineering 108:56-64.
2015年之前
J- [65] C. Huang, J. M. Lei, M. B. Liu. and X. Y. Peng (2015) A kernel gradient free (KGF) SPH method, International Journal for Numerical Methods in Fluids 78: 691–707.
J- [64] J. R. Shao, S. M. Li, Z. R. Li and M. B. Liu* (2015) A comparative study of different baffles on mitigating liquid sloshing in a rectangular tank due to a horizontal excitation. Engineering Computations 13(4): 1172-1190.
J- [63] Z. Chen, Z. Zong, M. B. Liu*, L. Zou, H. T. Li and C. Shu (2015) An SPH model for multiphase flows with complex interfaces and large density differences, Journal of Computational Physics 283: 169-188.
J- [62] G. Y. Wang, G. R. Liu, Q. Peng, D. S., D. L. Feng and M. B. Liu (2015). A 3D Smoothed Particle Hydrodynamics Method with Reactive Flow Model for the Simulation of ANFO. Propellants, Explosives, Pyrotechnics, 40(4): 566-575,DOI: 10.1002/prep.201400244.
J- [61] H. T. Liu, S. Jiang, Z. Chen, M. B. Liu, J. Z. Chang, Y. H. Wang and Z. H. Tong (2015) Mesoscale study of particle sedimentation with inertia effect using dissipative particle dynamics, Microfluidics and Nanofluidics 18: 1309–1315.
J- [60] X. F. Yang, M. B. Liu* and S. L. Peng (2014) Smoothed particle hydrodynamics and element bending group modeling of flexible fibers interacting with viscous fluids, Physical Review E 90: 063011.
J- [59] M. B. Liu*, R. Zhou and J. R. Shao (2014) Numerical simulation of liquid sloshing in a prismatic tank with SPH method, Journal of Hohai University( Natural Sciences) 42(3): 257-261].
J- [58] M. B. Liu*, G. R. Liu, L. V. Zhou and J. Z. Chang (2015) Dissipative Particle Dynamics (DPD): An Overview and Recent Developments, Archives of Computational Methods in Engineering, 22(4):529-556.
J- [57] H. T. Liu, S. Jiang, Z. Chen, M. B. Liu, J. Z. Chang, Y. H. Wang and Z. H. Tong (2014) Mesoscale study of particle sedimentation with inertia effect using dissipative particle dynamics, Microfluidics and Nanofluidics, DOI 10.1007/s10404-014-1529-1 18: 1309–1315.
J- [56] M. Hu, M. B. Liu, M. W. Xie and G. R. Liu (2015) Three-dimensional run-out analysis and prediction of flow-like landslides using smoothed particle hydrodynamics, Environmental Earth Sciences, 73(4):1629-1640, DOI 10.1007/s12665-014-3513-1.
J- [55] M. B. Liu*, J. R. Shao and H. Q. Li (2014) An SPH model for free surface flows with moving rigid objects. International Journal For Numerical Methods In Fluids, 74:684-697.
J- [54] X. Y. Yang, S. L. Peng and M. B. Liu* (2014) A new kernel function for SPH with applications to free surface flows. Applied Mathematical Modelling, DOI 10.1016/j.apm.2013.12.001.
J- [53] X. F. Yang, M. B. Liu, S. L. Peng (2014) Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability. Computers & Fluids. 92(20):199-208.
J- [52] Z. M. Guo, M. B. Liu (2013) Mechanism research of shaped charge jet with SPH, Ordance Material Science and Engineering 36(4): 1-4..
J- [51] H. T. Liu, Z. Chen, S. Jiang, Y. Gan, M. B. Liu, J. Z. Chang and Z. H. Tong (2013) Comparative Study of the Water Response to External Force at Nanoscale and Mesoscale, CMES: Computer Modeling in Engineering & Sciences 95(4): 303-315.
J- [50] Z. Chen, Z. Zong, M. B. Liu* and H. T. Li (2013) A comparative study of truly incompressible and weakly compressible SPH methods for free surface incompressible flows. International Journal For Numerical Methods In Fluids, 73 (9):813–829.
J- [49] D. L. Feng, M. B. Liu*, H. Q. Li and G. R. Liu (2013) Smoothed particle hydrodynamics modeling of linear shaped charge with jet formation and penetration effects. Computers & Fluids, 86:77–85.
J- [48] M. B. Liu*, J. R. Shao and H. Q. Li (2013) Numerical simulation of hydro-elastic problems with smoothed particle hydrodynamics. Journal of Hydrodynamics, 25 (5):840-847.
J- [47] Z. R. Li, N. B. Niao, Y. Q. Zhou, W. Xue and M. B. Liu* (2013) Macrotransport analysis of effective mobility of biomolecules in periodic nano-filter polar arrays, Acta Physica Sinica. 62(21): 218701.
J- [46] L. W. Zhou, M. B. Liu* and J. Z. Chang (2013) Movement and evolution of macromolecules in a grooved micro-channel. Interaction and Multiscale Mechanics, 6 (2):157-172.
J- [45] H. T. Liu, M. B. Liu*, J. Z. Chang, T. X. Su (2013) Dissipative particle dynamics simulation of multiphase flow through a mesoscopic channel. Acta Physica Sinica. 62(6):064705.
J- [44] T. X. Su, L. Q. Ma, M. B. Liu*, J. Z. Chang (2013) A numerical analysis of drop impact on solid surfaces by using smoothed particle hydrodynamics method. Acta Physica Sinica. 62(6):064702 .
J- [43] X. F. Yang, M. B. Liu* (2013) Numerical modeling of oil spill containment by boom using SPH. Science China Physics, Mechanics & Astronomy ,56(2)315-321.
J- [41] J. R. Shao, H. Q. Li, G. R. Liu, M. B. Liu* (2012) An improved SPH method for modeling liquid sloshing dynamics. Computers & Structures. 100-101(18-26).
J- [40] J. R. Shao, M. B. Liu*, X. F. Yang, L. Cheng (2012) Improved smoothed particle hydrodynamics with RANS for free surface flow problems. International Journal of Computational Methods. 9(1):1240001.
J- [39] L. V. Zhou, M. B. Liu, J. Z. Chang (2012) Dissipative particle dynamics simulations of macromolecules in micro-channels. Acta Polymerica Sinica. 7:720-727.
J- [38] X. F. Yang, S. L. Peng, M. B. Liu*, J. R. Shao (2012) Numerical simulation of ballast water by SPH method. International Journal of Computational Methods. 9(1):1240002.
J- [37] X. F. Yang, M. B. Liu (2012) An improvement for stress instability in smoothed particle hydrodynamics. Acta Physica Sinica. 61(22):224701.
J- [36] L. Q. Ma, J. Z. Chang, H. T. Liu, M. B. Liu (2012) Numerical simulation of droplet impact on liquid with smoothed particle hydrodynamics. Acta Physica Sinica. 61(5):54701.
J- [35] J. Z. Chang, H. T. Liu, M. B. Liu, T. X. Su (2012) Dissipative particle dynamics simulation of flow around a mesoscopic sphere with differnt Reynolds numbers. Acta Physica Sinica. 61(6):064704
J- [34] M. B. Liu*, J. R. Shao, J. Z. Chang (2012) On the treatment of solid boundary in smoothed particle hydro-dynamics. Science China Technological Sciences. 55(1):244-254.
J- [33] J. Z. Chang, H. T. Liu, T. X. Su, M. B. Liu* (2011) Direct Numerical Simulation of Particle Sedimentation in Two-phase Flow under Thermal Convection. International Journal of Computational Methods. 8 (4):851-861.
J- [32] M. B. Liu*, J. Z. Chang (2011) Modeling of contact angles and wetting effects with particle methods. International Journal of Computational Methods. 8(4):637-651.
J- [31] X. F. Yang, S. L. Peng, M. B. Liu (2012) Simulation of Water Entry with Smoothed Particle Hydrodynamics Method. Chinese Journal of Computational Physics. 28(4):523-528.
J- [30] M. B. Liu, Z. Zong, J. Z. Chang (2011) Developments and Applications of Smoothed Particle Hydrodynamics. Advances in Mechanics. 41(2):1-18.
J- [29] M. B. Liu*, J. R. Shao (2011) Core algorithms and key software development issues of smoothed particle hydrodynamics. Computer Aided Engineering. 20(1):67-73].
J- [28] M. B. Liu*, Z. Zong (2010) Numerical simulation of water mitigation of blasting effect. Applied Science and Technology. 37(9):36-41.
J- [27] L. Q. Ma, J. Z. Chang, M. B. Liu, H. T. Liu (2010) Numerical simulation of dam-break flows using SPH method. Hydro-Science and Engineering. 3:65-70.
J- [26] M. B. Liu*, J. Z. Chang (2010) A new boundary treatment algorithm for dissipative particle dynamics. Acta Physica Sinica. 59(11):7556-7563.
J- [25] M. B. Liu*, J. Z. Chang (2010) Particle distribution and numerical stability in smoothed particle hydrodynamics. Acta Physica Sinica. 59(9):3654-3662.
J- [24] M. B. Liu* and G. R. Liu (2010) Smoothed particle hydrodynamics (SPH): an overview and recent developments. Archives of Computational Methods in Engineering. 17.
J- [23] J. Z. Chang, M. B. Liu, H. T. Liu (2008) Simulation of multiphase micro-drop dynamics using dissipative particle dynamics. Acta Physica Sinica. 57(7):3954-3961.
J- [22] M. B. Liu*, G. R. Liu and Z. Zong (2008) An overview on smoothed particle hydrodynamics. International Journal of Computational Methods. 5 (1): 135-188. (IJCM Most Cited Paper)
J- [21] Z. Zong, L. Zou, M. B. Liu, X. J. Wang (2007) SPH simulation of two-dimensional underwater explosion. Journal of Hydrodynamics Series A. 22(1):61-67.
J- [20] M. B. Liu*, P. Meakin and H. Huang (2007) Dissipative particle dynamics simulation of multiphase fluid flow in microchannels and microchannel networks. Physics of Fluids. 19 (3): 033302, DOI: 10.1063/1.2717182.
J- [19] M. B. Liu*, P. Meakin and H. Huang (2007) Dissipative particle dynamics simulation of fluid motion through an unsaturated fracture and fracture junction. Journal Of Computational Physics. 222 (1): 110-130.
J- [18] M. B. Liu*, P. Meakin and H. Huang (2007) Dissipative particle dynamics simulation of pore-scale flow. Water Resources Research. 43: W04411, doi:10.1029/2006WR004856.
J- [17] M. B. Liu, P. Meakin* and H. Huang (2006) Dissipative particle dynamics with attractive and repulsive particle-particle interactions. Physics of Fluids. 18 (1): 017101017101, DOI: 10.1063/1.2163366.
J- [16] M. B. Liu*, G. R. Liu and K. Y. Lam (2006) Adaptive smoothed particle hydrodynamics for high strain hydrodynamics with material strength. Shock Waves. 15 (1): 21-29.
J- [15] M. B. Liu* and G. R. Liu (2006) Restoring particle consistency in smoothed particle hydrodynamics. Applied Numerical Mathematics. 56 (1): 19-36.
J- [14] M. B. Liu*, W. P. Xie and G. R. Liu (2005) Modeling incompressible flows using a finite particle method. Applied Mathematical Modelling. 29 (12): 1252-1270.
J- [13] M. B. Liu* and G. R. Liu (2005) Meshfree particle simulation of micro channel flows with surface tension. Computational Mechanics. 35 (5): 332-341.
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J- [1] M. B. Liu, G. R. Liu* and K. Y. Lam (2002) Investigations into water mitigation using a meshless particle method. Shock Waves. 12 (3): 181-195.