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Modelling and Simulation of Diffusive Processes

Modelling and Simulation of Diffusive Processes
Author: S.K. Basu
Publisher: Springer Science & Business Media
Total Pages: 372
Release: 2014-04-15
Genre: Computers
ISBN: 3319056573
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This book addresses the key issues in the modeling and simulation of diffusive processes from a wide spectrum of different applications across a broad range of disciplines. Features: discusses diffusion and molecular transport in living cells and suspended sediment in open channels; examines the modeling of peristaltic transport of nanofluids, and isotachophoretic separation of ionic samples in microfluidics; reviews thermal characterization of non-homogeneous media and scale-dependent porous dispersion resulting from velocity fluctuations; describes the modeling of nitrogen fate and transport at the sediment-water interface and groundwater flow in unconfined aquifers; investigates two-dimensional solute transport from a varying pulse type point source and futile cycles in metabolic flux modeling; studies contaminant concentration prediction along unsteady groundwater flow and modeling synovial fluid flow in human joints; explores the modeling of soil organic carbon and crop growth simulation.

Stochastic Modelling of Reaction–Diffusion Processes

Stochastic Modelling of Reaction–Diffusion Processes
Author: Radek Erban
Publisher: Cambridge University Press
Total Pages: 322
Release: 2020-01-30
Genre: Mathematics
ISBN: 1108572995
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This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models.

Reactive Flows, Diffusion and Transport

Reactive Flows, Diffusion and Transport
Author: Willi Jäger
Publisher: Springer Science & Business Media
Total Pages: 659
Release: 2007-05-31
Genre: Mathematics
ISBN: 354028396X
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The articles in this volume summarize the research results obtained in the former SFB 359 "Reactive Flow, Diffusion and Transport" which has been supported by the DFG over the period 1993-2004. The main subjects are physical-chemical processes sharing the difficulty of interacting diffusion, transport and reaction which cannot be considered separately. The modeling and simulation within this book is accompanied by experiments.

Process Modelling and Simulation

Process Modelling and Simulation
Author: César de Prada
Publisher: MDPI
Total Pages: 298
Release: 2019-09-23
Genre: Technology & Engineering
ISBN: 3039214551
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Since process models are nowadays ubiquitous in many applications, the challenges and alternatives related to their development, validation, and efficient use have become more apparent. In addition, the massive amounts of both offline and online data available today open the door for new applications and solutions. However, transforming data into useful models and information in the context of the process industry or of bio-systems requires specific approaches and considerations such as new modelling methodologies incorporating the complex, stochastic, hybrid and distributed nature of many processes in particular. The same can be said about the tools and software environments used to describe, code, and solve such models for their further exploitation. Going well beyond mere simulation tools, these advanced tools offer a software suite built around the models, facilitating tasks such as experiment design, parameter estimation, model initialization, validation, analysis, size reduction, discretization, optimization, distributed computation, co-simulation, etc. This Special Issue collects novel developments in these topics in order to address the challenges brought by the use of models in their different facets, and to reflect state of the art developments in methods, tools and industrial applications.

Mathematical Modelling and Numerical Simulation of Diffusive Processes in Slow Changing Domains

Mathematical Modelling and Numerical Simulation of Diffusive Processes in Slow Changing Domains
Author: Dmytro Yevdokymov
Publisher:
Total Pages: 0
Release: 2022
Genre: Computers
ISBN:
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Nowadays, diffusion and heat conduction processes in slow changing domains attract great attention. Slow-phase transitions and growth of biological structures can be considered as examples of such processes. The main difficulty in numerical solutions of correspondent problems is connected with the presence of two time scales. The first one is time scale describing diffusion or heat conduction. The second time scale is connected with the mentioned slow domain evolution. If there is sufficient difference in order of the listed time scale, strong computational difficulties in application of time-stepping algorithms are observed. To overcome the mentioned difficulties, it is proposed to apply a small parameter method for obtaining a new mathematical model, in which the starting parabolic initial-boundary-value problem is replaced by a sequence of elliptic boundary-value problems. Application of the boundary element method for numerical solution of the obtained sequence of problems gives an opportunity to solve the whole considered problem in slow time with high accuracy specific to the mentioned algorithm. Besides that, questions about convergence of the obtained asymptotic expansion and correspondence between initial and obtained formulations of the problem are considered separately. The proposed numerical approach is illustrated by several examples of numerical calculations for relevant problems.

Numerical Modelling and Simulation of Metal Processing

Numerical Modelling and Simulation of Metal Processing
Author: Christof Sommitsch
Publisher: MDPI
Total Pages: 374
Release: 2021-08-16
Genre: Technology & Engineering
ISBN: 303651080X
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This book deals with metal processing and its numerical modelling and simulation. In total, 21 papers from different distinguished authors have been compiled in this area. Various processes are addressed, including solidification, TIG welding, additive manufacturing, hot and cold rolling, deep drawing, pipe deformation, and galvanizing. Material models are developed at different length scales from atomistic simulation to finite element analysis in order to describe the evolution and behavior of materials during thermal and thermomechanical treatment. Materials under consideration are carbon, Q&T, DP, and stainless steels; ductile iron; and aluminum, nickel-based, and titanium alloys. The developed models and simulations shall help to predict structure evolution, damage, and service behavior of advanced materials.

Reactive Flows, Diffusion and Transport

Reactive Flows, Diffusion and Transport
Author: Willi Jäger
Publisher: Springer
Total Pages: 676
Release: 2006-10-16
Genre: Mathematics
ISBN: 9783540283799
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The articles in this volume summarize the research results obtained in the former SFB 359 "Reactive Flow, Diffusion and Transport" which has been supported by the DFG over the period 1993-2004. The main subjects are physical-chemical processes sharing the difficulty of interacting diffusion, transport and reaction which cannot be considered separately. The modeling and simulation within this book is accompanied by experiments.

Modeling and simulation of technical risk diffusion in the complex product research and development projects

Modeling and simulation of technical risk diffusion in the complex product research and development projects
Author: YANG Naiding
Publisher: Infinite Study
Total Pages: 11
Release:
Genre: Mathematics
ISBN:
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This paper generates an organization-task interdependent network model based upon functional dependence between tasks and executive dependence between organizations and tasks in an complex product research and development (R&D) project. Then it develops and simulates the dynamic model of technical risk diffusion by analyzing the interaction between organizations and tasks when facing with technical risks. The results show that the technical risk diffusion caused by a few tasks can significantly turbulent the network in a short time; the diffusion process has three stages: slow stage, out of control stage, and relatively stable stage; the relationship between the organization network scale and the consequence of diffusion shows approximate “inverse U” shape; the more even executive dependence, the weaker the robustness of the network when fixes the number of organizations; there exists a best level of resource input which makes the impact of diffusion remain at the lowest level; there is no significant difference in the diffusion process under different attack strategies. This research riches the dynamic theory of risk diffusion, and has provided reference for optimization of complex product development project architecture and improving the risk resisting capacity of R&D projects.