A Hybrid Approach for the Modelling of Complex Systems: Methodologies and Applications

In this paper the hybrid approach is presented for the modelling of complex systems that involve many interacting components with different physical properties over different spatial and temporal scales. Such systems are difficult to resolve, since they exhibit high levels of uncertainty. We briefly discuss other modelling strategies and their advantages and disadvantages and then a complete description of the mathematical-computational hybrid framework is given. Then, an application from the field of particulate-based engineering processes is presented and the ability of the framework is demonstrated to accurately represent key granular material processes with the aid of information extracted from different scales.

[1]  Bastien Chopard,et al.  Cellular automata modeling , 1998 .

[2]  Albert-László Barabási,et al.  Understanding individual human mobility patterns , 2008, Nature.

[3]  Guido Caldarelli,et al.  A networked world , 2010 .

[4]  John Baxter,et al.  Utilising Computational Fluid Dynamics (CFD) for the Modelling of Granular Material in Large-Scale Engineering Processes , 2002, International Conference on Computational Science.

[5]  John von Neumann,et al.  Theory Of Self Reproducing Automata , 1967 .

[6]  Julio M Ottino,et al.  Unsteady granular flows in a rotating tumbler. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  H. Abou-Chakra,et al.  A DEM simulation and experimental strategy for solving fine powder flow problems , 2000 .

[8]  Michael S.A. Bradley,et al.  Constructing an engineering model for moisture migration in bulk solids as a prelude to predicting moisture migration caking , 2002 .

[9]  Mark J. Kushner,et al.  Hybrid modelling of low temperature plasmas for fundamental investigations and equipment design , 2009 .

[10]  Adrian V. Gheorghe,et al.  Forest fire essentials: a cellular automaton-wise, percolation-oriented model , 2008, Int. J. Crit. Infrastructures.

[11]  H Abou-Chakra,et al.  An investigation of particle degradation by impact within a centrifugal accelerator type degradation tester , 2003 .

[12]  Y. Pomeau,et al.  Lattice-gas automata for the Navier-Stokes equation. , 1986, Physical review letters.

[13]  Mark Cross,et al.  Micro-mechanical parameterisations for continuum modellingof granular material using the discrete element method , 2002 .

[14]  J Baxter,et al.  Application of simulation technologies in the analysis of granular material behaviour during transport and storage , 2005 .

[15]  Linda Hyder.  The effect of particle size and density on pressure gradients in horizontal pipelines in lean phase pneumatic conveying , 2000 .

[16]  Mike Mannion,et al.  Complex systems , 1997, Proceedings International Conference and Workshop on Engineering of Computer-Based Systems.

[17]  R. M. Nedderman.  The use of the kinematic model to predict the development of the stagnant zone boundary in the batch discharge of a bunker , 1995 .

[18]  D. L. Parnas,et al.  On the criteria to be used in decomposing systems into modules , 1972, Software Pioneers.

[19]  Guy Francis Salter,et al.  Investigations into the segregation of heaps of particulate materials with particular reference to the effects of particle size , 1999 .

[20]  P. G. de Gennes,et al.  Reflections on the mechanics of granular matter , 1998 .

[21]  Niklas Engblom.  Segregation of powder mixtures in silos with particular reference to dry mineral-based construction materials , 2012 .

[22]  W. Weaver.  Science and complexity. , 1948, American scientist.

[23]  Michael J. Hounslow,et al.  Particle fragmentation in dilute phase pneumatic conveying , 2002 .

[24]  Carlos Gershenson,et al.  Self-organizing Traffic Lights , 2004, Complex Syst..

[25]  P. A. Langston,et al.  Discrete element simulation of internal stress and flow fields in funnel flow hoppers , 1995 .

[26]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[27]  David Harel,et al.  Statecharts: A Visual Formalism for Complex Systems , 1987, Sci. Comput. Program..

[28]  Pierre Chapelle,et al.  Computational model for prediction of particle degradation during dilute-phase pneumatic conveying: the use of a laboratory-scale degradation tester for the determination of degradation propensity , 2004 .

[29]  Julio M. Ottino,et al.  Granular matter as a window into collective systems far from equilibrium, complexity, and scientific prematurity , 2006 .

[30]  Paul W. Cleary,et al.  DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge , 2002 .

[31]  M. Schreckenberg.  Modeling Complex Systems , 2004 .

[32]  D. Larsen-Freeman,et al.  Complex Systems and Applied Linguistics , 2008 .

[33]  N. Moraga,et al.  Heat and mass transfer in unsaturated porous media: Moisture effects in compost piles self-heating , 2011 .

[34]  Cosma Rohilla Shalizi,et al.  Methods and Techniques of Complex Systems Science: An Overview , 2003, nlin/0307015.

[36]  Pierre Chapelle,et al.  Analysis and modeling of heaping behavior of granular mixtures within a computational mechanics framework , 2006 .

[37]  Chuanlong Xu,et al.  HHT analysis of electrostatic fluctuation signals in dense-phase pneumatic conveying of pulverized coal at high pressure , 2010 .

[38]  HERBERT A. SIMON,et al.  The Architecture of Complexity , 1991 .

[40]  J. Baxter,et al.  Granular dynamics simulations of two-dimensional heap formation , 1997 .

[41]  Nicholas Christakis,et al.  Predictions of segregation of granular material with the aid of PHYSICA, a 3‐D unstructured finite‐volume modelling framework , 2002 .

[42]  Pierre Chapelle,et al.  A hybrid numerical model for predicting segregation during core flow discharge , 2006 .

[43]  Charles M. Macal,et al.  Managing Business Complexity: Discovering Strategic Solutions with Agent-Based Modeling and Simulation , 2007 .

[44]  Bastien Chopard,et al.  Cellular Automata Modeling of Physical Systems: Index , 1998 .

[45]  Gabriel I. Tardos,et al.  A fluid mechanistic approach to slow, frictional flow of powders , 1997 .

[46]  Nicholas Christakis,et al.  An Analytical Description of the Frictional Behaviour of a Titanium Alloy , 2007 .

[47]  Pierre Chapelle,et al.  Computational model for prediction of particle degradation during dilute-phase pneumatic conveying: modeling of dilute-phase pneumatic conveying , 2004 .

[48]  J. Sterman.  Learning in and about complex systems , 1994 .

[49]  S. Succi.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2001 .

[50]  L. Tesfatsion.  Agent-based computational economics : A constructive approach to economic theory , 2006 .

[51]  Michael S.A. Bradley,et al.  Assessing the potential of a fine powder to segregate using laser diffraction and sieve particle size measuring techniques , 2003 .

[52]  Stephen Wolfram,et al.  A New Kind of Science , 2003, Artificial Life.

[53]  Anita Mehta,et al.  The dynamics of sand , 1994 .

[54]  Leonard G. Austin,et al.  Introduction to the mathematical description of grinding as a rate process , 1971 .

[55]  Charles M. Macal,et al.  Managing Business Complexity: Discovering Strategic Solutions with Agent-Based Modeling and Simulation , 2007 .

[56]  N. Christakis,et al.  Aggregation and Caking Processes of Granular Materials: Continuum Model and Numerical Simulation with Application to Sugar , 2006 .

[57]  Pilwon Kim.  Scale-dependent behavior of scale equations. , 2009, Chaos.

[58]  Tatsuo Tanaka.  Evaluating the Caking Strength of Powders , 1978 .

[59]  Marek Klisinski,et al.  Finite element simulation of granular material flow in plane silos with complicated geometry , 1998 .

[60]  Frisch,et al.  Lattice gas automata for the Navier-Stokes equations. a new approach to hydrodynamics and turbulence , 1989 .

[61]  T. Schelling.  Micromotives and Macrobehavior , 1978 .

[62]  Hermann Haken,et al.  Information and Self-Organization: A Macroscopic Approach to Complex Systems , 2010 .

[63]  Yaneer Bar-Yam,et al.  Dynamics Of Complex Systems , 2019 .

[64]  D. Acheson,et al.  From Calculus to Chaos: An Introduction to Dynamics , 1998 .

[65]  A. Reed,et al.  Measuring the tensile strength of caked sugar produced from humidity cycling , 2003 .