Coupled Flow Discrete Element Method Application in Granular Porous Media using Open Source Codes

I am submitting herewith a dissertation written by Feng Chen entitled “Coupled Flow Discrete Element Method Application in Granular Porous Media using Open Source Codes.” I have examined the final electronic copy of this dissertation for form and content and recommend that it be accepted in partial fulfillment of the requirements for the degree of Doctor of Philosophy, with a major in Civil Engineering.

[1]  E. Drumm,et al.  Application of limit plasticity to the stability of sinkholes , 1990 .

[2]  M. Norman,et al.  ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. I - The hydrodynamic algorithms and tests. II - The magnetohydrodynamic algorithms and tests , 1992 .

[3]  G. Guiochon,et al.  Visualization of the heterogeneity of column beds , 1997 .

[4]  Tivadar Farkas,et al.  Contribution of the radial distribution of the flow velocity to band broadening in HPLC columns , 1997 .

[5]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[6]  J. Kozicki,et al.  A new open-source software developed for numerical simulations using discrete modeling methods , 2008 .

[7]  D. Birchall,et al.  Computational Fluid Dynamics , 2020, Radial Flow Turbocompressors.

[8]  P. A. Cundall,et al.  FORMULATION OF A THREE-DIMENSIONAL DISTINCT ELEMENT MODEL - PART I. A SCHEME TO DETECT AND REPRESENT CONTACTS IN A SYSTEM COMPOSED OF MANY POLYHEDRAL BLOCKS , 1988 .

[9]  R. Wightman,et al.  Fast-scan voltammetry of biogenic amines. , 1988, Analytical chemistry.

[10]  George F. Sowers,et al.  Building on sinkholes , 1996 .

[11]  Anita M. Katti,et al.  Fundamentals of Preparative and Nonlinear Chromatography , 1994 .

[12]  Ricardo Dobry,et al.  DISCRETE MODELLING OF STRESS‐STRAIN BEHAVIOUR OF GRANULAR MEDIA AT SMALL AND LARGE STRAINS , 1992 .

[13]  Gen-hua Shi.  Block system modeling by discontinuous deformation analysis , 1993 .

[14]  G. Sowers.  Building on Sinkholes: Design and Construction of Foundations in Karst Terrain , 1996 .

[15]  A. Gosman,et al.  Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .

[16]  Y. Tsuji,et al.  Discrete particle simulation of two-dimensional fluidized bed , 1993 .

[17]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[18]  R. Jackson,et al.  Frictional–collisional constitutive relations for granular materials, with application to plane shearing , 1987, Journal of Fluid Mechanics.

[19]  Hrvoje Jasak,et al.  Error analysis and estimation for the finite volume method with applications to fluid flows , 1996 .

[20]  R. Bennett,et al.  Statistical Characterization of Fiber-Reinforced Polymer Composite Material Properties for Structural Design , 2006 .

[21]  R. Hockney.  The potential calculation and some applications , 1970 .

[22]  W. Thomson.  Theory of vibration with applications , 1965 .

[23]  Keith Richards,et al.  Discrete–element modelling: methods and applications in the environmental sciences , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[24]  E. Toro.  Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .

[25]  Stephen A. Rago,et al.  Advanced Programming in the UNIX(R) Environment (2nd Edition) , 2005 .

[26]  Yutaka Tsuji,et al.  DISCRETE PARTICLE SIMULATION OF FLOW PATTERNS IN TWO-DIMENSIONAL GAS FLUIDIZED BEDS , 1993 .

[27]  Craig A. Knoblock,et al.  Advanced Programming in the UNIX Environment , 1992, Addison-Wesley professional computing series.

[28]  Yutaka Tsuji,et al.  Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models) , 1998 .

[29]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[30]  R. Wightman,et al.  Microcylinder electrodes as sensitive detectors for high-efficiency, high-speed liquid chromatography. , 1989, Journal of chromatography.

[31]  Lyesse Laloui,et al.  Discrete element modelling of drying shrinkage and cracking of soils , 2009 .

[32]  D. Train,et al.  AN INVESTIGATION INTO THE COMPACTION OF POWDERS * , 1956, The Journal of pharmacy and pharmacology.

[33]  H. Moore.  A Proactive Approach to Planning and Designing Highways in East Tennessee Karst , 2006 .

[34]  J. Knox,et al.  A Comparison of Mobile-Phase Peak Dispersion in Gas and Liquid Chromatography , 1966 .

[35]  G. Guiochon,et al.  Column efficiency and radial homogeneity in liquid chromatography , 1994 .

[36]  R. Bathurst,et al.  Micromechanical Aspects of Isotropic Granular Assemblies With Linear Contact Interactions , 1988 .

[37]  Jonathan D. Bray,et al.  Modeling of Particulate Media Using Discontinuous Deformation Analysis , 1995 .

[38]  Phillip R Kemmerly.  CORRECTIVE PROCEDURES FOR SINKHOLE COLLAPSE ON THE WESTERN HIGHLAND RIM, TENNESSEE , 1984 .

[39]  W. A. Tuplin.  The Mechanics of Vibration , 1961, Nature.

[40]  R. D. Richtmyer,et al.  A Method for the Numerical Calculation of Hydrodynamic Shocks , 1950 .

[41]  J. Gillis,et al.  Methods in Computational Physics , 1964 .

[42]  S. Ergun.  Fluid flow through packed columns , 1952 .

[43]  M. Norman,et al.  ZEUS-2D : a radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. II : The magnetohydrodynamic algorithms and tests , 1992 .

[44]  Richard Courant,et al.  Supersonic Flow And Shock Waves , 1948 .

[45]  R. LeVeque.  Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[46]  Mourad Zeghal,et al.  COUPLED CONTINUUM-DISCRETE MODEL FOR SATURATED GRANULAR SOILS , 2005 .

[47]  Measurement of the degree of internal friction of two native silica packing materials , 1998 .

[48]  G. Guiochon,et al.  Column radial homogeneity in high-performance liquid chromatography , 1996 .

[49]  K. Terzaghi.  Theoretical Soil Mechanics , 1943 .

[50]  D. Train.  Transmission forces through a powder mass during the process of pelleting , 1957 .

[51]  Feng Chen,et al.  Simulation of Graded Rock Fill for Sinkhole Repair in Particle Flow Model , 2006 .

[52]  J. L. Meriam.  Statics and dynamics , 1966 .

[53]  A. Anandarajah,et al.  Three-Dimensional Discrete Element Method of Analysis of Clays , 2003 .

[54]  D. Quinlan,et al.  Overture: an objectoriented framework for solving partial differential equations on overlapping grids , 1998 .

[55]  J. Bardet,et al.  Simulation of Upward Seepage Flow in a Single Column of Spheres Using Discrete-Element Method with Fluid-Particle Interaction , 2007 .

[56]  Richard P. Jensen,et al.  Effect of Particle Shape on Interface Behavior of DEM-Simulated Granular Materials , 2001 .

[57]  W. D. Kovacs,et al.  An Introduction to Geotechnical Engineering , 1981 .

[58]  M. V. Wilkes,et al.  The Art of Computer Programming, Volume 3, Sorting and Searching , 1974 .

[59]  Yuuki Johno,et al.  Numerical simulation of air and particle motions in bubbling fluidized bed of small particles , 2000 .

[60]  F. Donze,et al.  Identification and Validation of a Discrete Element Model for Concrete , 2004 .

[61]  George R. Laird,et al.  Interaction of radial and axial dispersion in liquid chromatography in relation to the “infinite diameter effect” , 1976 .

[62]  John H. Knox,et al.  Effect of the column to particle diameter ratio on the dispersion of unsorbed solutes in chromatography , 1969 .

[63]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[64]  Paul Kavanagh,et al.  The Open Source Definition , 2004 .

[65]  Donald E. Knuth,et al.  The Art of Computer Programming: Volume 3: Sorting and Searching , 1998 .

[66]  Karl Popp,et al.  Ground Vehicle Dynamics , 2010 .

[67]  A. Soroush,et al.  Fluid coupled-DEM modelling of undrained behavior of granular media , 2008 .