Numerical Methods for Granular Flows and Related Problems PDF Download
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Author:
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ISBN:
Category :
Languages : en
Pages : 7
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Book Description
This project has led to significant progress on several critical questions related to granular flows. First, a high order code based on Discontinuous Galerkin method has been produced to study granular in axisymmetric hoppers. Before that, only ad hoc discretization methods were used. This led to the discovery of several new phenomena (such as shock formation and propagation). Several weaknesses of established models were also brought to the fore. Second, the effect of the geometry of the hopper on the flow were analyzed. Secondary circulation and resonance phenomena were observed in the models. This too is new. Third, advances were made in the analysis of sound propagation in sand and the importance of wall friction in the process. Fourth, a model of powder consolidation has been proposed, analyzed and discretized, leading to an industrial code. Fifth, a robust method for the volume determination of granular heap in complicated geometries has been proposed and implemented. The project has also yielded results not directly related to granular materials, such progress in long time integration of Discontinuous Galerkin methods and study of Partial Differential Algebraic equations.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 7
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Book Description
This project has led to significant progress on several critical questions related to granular flows. First, a high order code based on Discontinuous Galerkin method has been produced to study granular in axisymmetric hoppers. Before that, only ad hoc discretization methods were used. This led to the discovery of several new phenomena (such as shock formation and propagation). Several weaknesses of established models were also brought to the fore. Second, the effect of the geometry of the hopper on the flow were analyzed. Secondary circulation and resonance phenomena were observed in the models. This too is new. Third, advances were made in the analysis of sound propagation in sand and the importance of wall friction in the process. Fourth, a model of powder consolidation has been proposed, analyzed and discretized, leading to an industrial code. Fifth, a robust method for the volume determination of granular heap in complicated geometries has been proposed and implemented. The project has also yielded results not directly related to granular materials, such progress in long time integration of Discontinuous Galerkin methods and study of Partial Differential Algebraic equations.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
Friction plays a fundamental role in the Mechanics of granular materials. Two problems are considered: (i) heap formation, (ii) granular flow. Both problems admit closely related mathematical models. In each case, analytical and numerical difficulties are discussed. Efficient and reliable numerical methods are proposed and implemented. The results are illustrated by several computational experiments.
Author: Harald van Brummelen
Publisher: Springer Nature
ISBN: 3030307050
Category : Mathematics
Languages : en
Pages : 358
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Book Description
This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.
Author: Sebastian Schmidt
Publisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG
ISBN: 9783838110431
Category :
Languages : de
Pages : 156
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Book Description
In the broad field of numerical simulation of granular flow, many distinct challenges are faced. Aside from the nontrivial task of defining ``granular flow'', the first challenge is its modeling. Still no common scientific agreement has been reached for the exact equations. The vast majority of publications distinctively treats either dilute or dense regimes. Common to nearly all models, the contained equations in their full complexity are very difficult to solve by available numerical methods. The author develops an interdisciplinary approach to the simulation of granular flow in all regimes using a hydrodynamic view on modeling. A system of partial differential equations and constitutive relations is derived through the kinetic theory of granular gases with extensions from soil mechanics. The author introduces a novel nonlinear fractional step approach, which is able to numerically obtain approximate solutions. The simulation method, including modeling and numerics is implemented within a software framework for the generic solution of complex rheology problems developed by the author which results in this in-itself closed method for the numerical simulation of granular flow.
Author: Philipp Birken
Publisher: CRC Press
ISBN: 1000403521
Category : Mathematics
Languages : en
Pages : 246
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Book Description
Numerical Methods for Unsteady Compressible Flow Problems is written to give both mathematicians and engineers an overview of the state of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions of which can exhibit shocks, boundary layers and turbulence. The idea of the text is to explain the important ideas to the reader, while giving enough detail and pointers to literature to facilitate implementation of methods and application of concepts. The book covers high order methods in space, such as Discontinuous Galerkin methods, and high order methods in time, in particular implicit ones. A large part of the text is reserved to discuss iterative methods for the arising large nonlinear and linear equation systems. Ample space is given to both state-of-the-art multigrid and preconditioned Newton-Krylov schemes. Features Applications to aerospace, high-speed vehicles, heat transfer, and more besides Suitable as a textbook for graduate-level courses in CFD, or as a reference for practitioners in the field
Author: Thomas Benz
Publisher: CRC Press
ISBN: 0203842367
Category : Technology & Engineering
Languages : en
Pages : 976
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Book Description
Numerical Methods in Geotechnical Engineering contains 153 scientific papers presented at the 7th European Conference on Numerical Methods in Geotechnical Engineering, NUMGE 2010, held at Norwegian University of Science and Technology (NTNU) in Trondheim, Norway, 2 4 June 2010.The contributions cover topics from emerging research to engineering pra
Author: Manuel de Matos Fernandes
Publisher: CRC Press
ISBN: 0429823193
Category : Technology & Engineering
Languages : en
Pages : 935
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Book Description
NUMGE 2018 is the ninth in a series of conferences on Numerical Methods in Geotechnical Engineering organized by the ERTC7 under the auspices of the International Society for Soil Mechanics and Geotechnical Engineering (ISSMGE). The first conference was held in 1986 in Stuttgart, Germany and the series continued every four years (1990 Santander, Spain; 1994 Manchester, United Kingdom; 1998 Udine, Italy; 2002 Paris, France; 2006 Graz, Austria; 2010 Trondheim, Norway; 2014 Delft, The Netherlands). The conference provides a forum for exchange of ideas and discussion on topics related to numerical modelling in geotechnical engineering. Both senior and young researchers, as well as scientists and engineers from Europe and overseas, are invited to attend this conference to share and exchange their knowledge and experiences. This work is the first volume of NUMGE 2018.
Author: Sven Gross
Publisher: Springer Science & Business Media
ISBN: 3642196861
Category : Mathematics
Languages : en
Pages : 487
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Book Description
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.
Author: António S. Cardoso
Publisher: CRC Press
ISBN: 1351003615
Category : Technology & Engineering
Languages : en
Pages : 1656
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Book Description
Numerical Methods in Geotechnical Engineering IX contains 204 technical and scientific papers presented at the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE2018, Porto, Portugal, 25—27 June 2018). The papers cover a wide range of topics in the field of computational geotechnics, providing an overview of recent developments on scientific achievements, innovations and engineering applications related to or employing numerical methods. They deal with subjects from emerging research to engineering practice, and are grouped under the following themes: Constitutive modelling and numerical implementation Finite element, discrete element and other numerical methods. Coupling of diverse methods Reliability and probability analysis Large deformation – large strain analysis Artificial intelligence and neural networks Ground flow, thermal and coupled analysis Earthquake engineering, soil dynamics and soil-structure interactions Rock mechanics Application of numerical methods in the context of the Eurocodes Shallow and deep foundations Slopes and cuts Supported excavations and retaining walls Embankments and dams Tunnels and caverns (and pipelines) Ground improvement and reinforcement Offshore geotechnical engineering Propagation of vibrations Following the objectives of previous eight thematic conferences, (1986 Stuttgart, Germany; 1990 Santander, Spain; 1994 Manchester, United Kingdom; 1998 Udine, Italy; 2002 Paris, France; 2006 Graz, Austria; 2010 Trondheim, Norway; 2014 Delft, The Netherlands), Numerical Methods in Geotechnical Engineering IX updates the state-of-the-art regarding the application of numerical methods in geotechnics, both in a scientific perspective and in what concerns its application for solving practical boundary value problems. The book will be much of interest to engineers, academics and professionals involved or interested in Geotechnical Engineering.
Author: António S. Cardoso
Publisher: CRC Press
ISBN: 0429823169
Category : Technology & Engineering
Languages : en
Pages : 724
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Book Description
Numerical Methods in Geotechnical Engineering IX contains 204 technical and scientific papers presented at the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE2018, Porto, Portugal, 25—27 June 2018). The papers cover a wide range of topics in the field of computational geotechnics, providing an overview of recent developments on scientific achievements, innovations and engineering applications related to or employing numerical methods. They deal with subjects from emerging research to engineering practice, and are grouped under the following themes: Constitutive modelling and numerical implementation Finite element, discrete element and other numerical methods. Coupling of diverse methods Reliability and probability analysis Large deformation – large strain analysis Artificial intelligence and neural networks Ground flow, thermal and coupled analysis Earthquake engineering, soil dynamics and soil-structure interactions Rock mechanics Application of numerical methods in the context of the Eurocodes Shallow and deep foundations Slopes and cuts Supported excavations and retaining walls Embankments and dams Tunnels and caverns (and pipelines) Ground improvement and reinforcement Offshore geotechnical engineering Propagation of vibrations Following the objectives of previous eight thematic conferences, (1986 Stuttgart, Germany; 1990 Santander, Spain; 1994 Manchester, United Kingdom; 1998 Udine, Italy; 2002 Paris, France; 2006 Graz, Austria; 2010 Trondheim, Norway; 2014 Delft, The Netherlands), Numerical Methods in Geotechnical Engineering IX updates the state-of-the-art regarding the application of numerical methods in geotechnics, both in a scientific perspective and in what concerns its application for solving practical boundary value problems. The book will be much of interest to engineers, academics and professionals involved or interested in Geotechnical Engineering. This is volume 2 of the NUMGE 2018 set.
