1.

Record Nr.

UNINA9910132498003321

Autore

Matuttis Hans-Georg

Titolo

Understanding the discrete element method : simulation of non-spherical particles for granular and multi-body systems / / Hans-Georg Matuttis, Jian Chen

Pubbl/distr/stampa

Singapore : , : Wiley, , 2014

©2014

ISBN

1-118-56728-5

1-118-56722-6

1-118-56721-8

Descrizione fisica

1 online resource (480 p.)

Disciplina

531/.163

Soggetti

Granular flow

Discrete element method

Multibody systems

Mechanics, Applied - Computer simulation

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

UNDERSTANDING THE DISCRETE ELEMENT METHOD SIMULATION OF NON-SPHERICAL PARTICLES FOR GRANULARAND MULTI-BODY SYSTEMS; Copright; Contents; Exercises; About the Authors; Preface; Acknowledgements; List of Abbreviations; 1 Mechanics; 1.1 Degrees of freedom; 1.1.1 Particle mechanics and constraints; 1.1.2 From point particles to rigid bodies; 1.1.3 More context and terminology; 1.2 Dynamics of rectilinear degrees of freedom; 1.3 Dynamics of angular degrees of freedom; 1.3.1 Rotation in two dimensions; 1.3.2 Moment of inertia; 1.3.3 From two to three dimensions

1.3.4 Rotation matrix in three dimensions1.3.5 Three-dimensional moments of inertia; 1.3.6 Space-fixed and body-fixed coordinate systems andequations of motion; 1.3.7 Problems with Euler angles; 1.3.8 Rotations represented using complex numbers; 1.3.9 Quaternions; 1.3.10 Derivation of quaternion dynamics; 1.4 The phase space; 1.4.1 Qualitative discussion of the time dependence of linear



oscillations; 1.4.2 Resonance; 1.4.3 The flow in phase space; 1.5 Nonlinearities; 1.5.1 Harmonic balance; 1.5.2 Resonance in nonlinear systems; 1.5.3 Higher harmonics and frequency mixing

1.5.4 The van der Pol oscillator1.6 From higher harmonics to chaos; 1.6.1 The bifurcation cascade; 1.6.2 The nonlinear frictional oscillator and Poincar ́e maps; 1.6.3 The route to chaos; 1.6.4 Boundary conditions and many-particle systems; 1.7 Stability and conservationlaws; 1.7.1 Stability in statics; 1.7.2 Stability in dynamics; 1.7.3 Stable axes of rotation around the principal axis; 1.7.4 Noether's theorem and conservation laws; 1.8 Further reading; Exercises; References; 2Numerical Integration of OrdinaryDifferential Equations; 2.1 Fundamentals of numerical analysis

2.1.1 Floating point numbers2.1.2 Big-O notation; 2.1.3 Relative and absolute error; 2.1.4 Truncation error; 2.1.5 Local and global error; 2.1.6 Stability; 2.1.7 Stable integrators for unstable problems; 2.2 Numerical analysis for ordinary differential equations; 2.2.1 Variable notation and transformation of the order of adifferential equation; 2.2.2 Differences in the simulation of atoms and molecules,as compared to macroscopic particles; 2.2.3 Truncation error for solutions of ordinary differential equations; 2.2.4 Fundamental approaches; 2.2.5 Explicit Euler method

2.2.6 Implicit Euler method2.3 Runge-Kutta methods; 2.3.1 Adaptive step-size control; 2.3.2 Dense output and event location; 2.3.3 Partitioned Runge-Kutta methods; 2.4 Symplectic methods; 2.4.1 The classical Verlet method; 2.4.2 Velocity-Verlet methods; 2.4.3 Higher-order velocity-Verlet methods; 2.4.4 Pseudo-symplectic methods; 2.4.5 Order, accuracy and energy conservation; 2.4.6 Backward error analysis; 2.4.7 Case study: the harmonic oscillator with andwithout viscous damping; 2.5 Stiff problems; 2.5.1 Evaluating computational costs; 2.5.2 Stiff solutions and error as noise

2.5.3 Order reduction

Sommario/riassunto

Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particlesProvides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulationHighlights the numerical tricks and pitfalls that are usually only realized after years o



2.

Record Nr.

UNINA9910823057203321

Autore

Guardado Martin

Titolo

Discourse, ideology and heritage language socialization : micro and macro perspectives / / Martin Guardado

Pubbl/distr/stampa

Boston ; ; Berlin : , : De Gruyter Mouton, , [2018]

©2018

ISBN

1-5015-0073-2

1-61451-384-8

Descrizione fisica

1 online resource (284 pages) : illustrations

Collana

Contributions to the sociology of language ; ; Volume 104

Disciplina

404.2

Soggetti

Linguistic minorities - Social aspects

Heritage language speakers

Language acquisition - Social aspects

Sociolinguistics

Ethnicity

Language and languages - Study and teaching - Foreign speakers

Language and languages - Study and teaching

Multilingualism

Muttersprache

Diskurs

Spracherhaltung

Spracherwerb

Minderheitensprache

Mehrsprachigkeit

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references (pages 239-261) and index.

Nota di contenuto

Frontmatter -- Preface -- Contents -- 1. Introduction -- Part I: Setting the stage -- 2. Overview of heritage language studies -- 3. Language socialization -- 4. Language ideologies -- Part II: The discursive construction of heritage language development -- 6. Discourses of heritage language development I: A preliminary typology -- 7. Discourses II: Mapping the literature -- 8. Discourses III:



Problematizing the discourse typology -- Part III: Socializing strategies and metapragmatic practices -- 9. The role of community -- 10. Family language and literacy practices -- 11. Family language policy and language regulation -- 12. Heritage language regulation -- Part IV: Family, community and education in global perspective -- 13. A cosmopolitan turn in heritage language studies? -- 14. From multiculturalism to cosmopolitanism -- 15. Final reflections and ways forward -- References -- Subject index

Sommario/riassunto

The book examines the development and maintenance of a minority language, engaging on both micro and macro levels to address open questions in the field. Guardado provides a history of the study of language maintenance, including discussion of language socialization, cosmopolitan identities, and home practices. In particular, the author uses 'discourse' as a primary tool to understand minority language development and maintenance.