Computational multiscale modeling of fluids and solids : theory and applications / / Martin Oliver Steinhauser |
Autore | Steinhauser M. O (Martin Oliver) |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
Descrizione fisica | 1 online resource (450 pages) |
Disciplina | 532 |
Collana | Graduate Texts in Physics Ser. |
Soggetto topico |
Fluids - Mathematical models
Solids - Mathematical models |
ISBN |
9783030989545
9783030989538 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface to the Third Edition -- Preface to the Second Edition -- Preface to the First Edition in 2008 -- Contents -- Acronyms -- List of Algorithms -- List of Boxes -- blackPart I Fundamentals-1pt -- 1 Introduction to Multiscale Modeling -- 1.1 Physics on Different Length- and Timescales -- 1.1.1 Electronic/Atomic Scale -- 1.1.2 Atomic/Microscopic Scale -- 1.1.3 Microscopic/Mesoscopic Scale -- 1.1.4 Mesoscopic/Macroscopic Scale -- 1.2 What are Fluids and Solids? -- 1.3 The Objective of Experimental and Theoretical Physics -- 1.4 Computer Simulations-A Review -- 1.4.1 A Brief History of Computer Simulation -- 1.4.2 Computational Materials Science -- 1.5 Suggested Reading -- 2 Multiscale Computational Materials Science -- 2.1 Some Terminology -- 2.2 What is Computational Material Science on Multiscales? -- 2.2.1 Experimental Investigations on Different Length Scales -- 2.3 What is a Model? -- 2.3.1 The Scientific Method -- 2.4 Hierarchical Modeling Concepts Above the Atomic Scale -- 2.4.1 Example: Principle Model Hierarchies in Classical Mechanics -- 2.4.2 Structure-Property Paradigm -- 2.4.3 Physical and Mathematical Modeling -- 2.4.4 Numerical Modeling and Simulation -- 2.5 Unifications and Reductionism in Physical Theories -- 2.5.1 The Four Fundamental Interactions -- 2.5.2 The Standard Model -- 2.5.3 Symmetries, Fields, Particles and the Vacuum -- 2.5.4 Relativistic Wave Equations -- 2.5.5 Suggested Reading -- 2.6 Computer Science, Algorithms, Computability and Turing Machines -- 2.6.1 Recursion -- 2.6.2 Divide-and-Conquer -- 2.6.3 Local Search -- 2.6.4 Simulated Annealing and Stochastic Algorithms -- 2.6.5 Computability, Decidability and Turing Machines -- 2.6.6 Efficiency of Algorithms -- 3 Mathematical and Physical Prerequisites -- 3.1 Introduction -- 3.2 Sets and Set Operations -- 3.2.1 Cartesian Product, Product Set.
3.2.2 Functions and Linear Spaces -- 3.3 Topological Spaces -- 3.3.1 Charts -- 3.3.2 Atlas -- 3.3.3 Manifolds -- 3.3.4 Tangent Vectors and Tangent Space -- 3.3.5 Covectors, Cotangent Space and One-Forms -- 3.3.6 Dual Spaces -- 3.3.7 Tensors and Tensor Spaces -- 3.3.8 Affine Connections and Covariant Derivative -- 3.4 Metric Spaces and Metric Connection -- 3.5 Riemannian Manifolds -- 3.5.1 Riemannian Curvature -- 3.6 The Problem of Inertia and Motion: Coordinate Systems in Physics -- 3.6.1 The Special and General Principle of Relativity -- 3.6.2 The Structure of Spacetime -- 3.7 Relativistic Field Equations -- 3.7.1 Relativistic Hydrodynamics -- 3.8 Suggested Reading -- 4 Fundamentals of Numerical Simulation -- 4.1 Basics of Ordinary and Partial Differential Equations in Physics -- 4.1.1 Elliptic Type -- 4.1.2 Parabolic Type -- 4.1.3 Hyperbolic Type -- 4.2 Numerical Solution of Differential Equations -- 4.2.1 Mesh-Based and Mesh-Free Methods -- 4.2.2 Finite Difference Methods -- 4.2.3 Finite Volume Method -- 4.2.4 Finite Element Methods -- 4.3 Elements of Software Design -- 4.3.1 Software Design -- 4.3.2 Writing a Routine -- 4.3.3 Code-Tuning Strategies -- 4.3.4 Suggested Reading -- blackPart II Computational Methods on Multiscales-1pt -- 5 Computational Methods on Electronic/Atomistic Scale -- 5.1 Introduction -- 5.1.1 Scale Separation -- 5.2 Ab-Initio Methods -- 5.3 Physical Foundations of Quantum Theory -- 5.3.1 A Short Description of Quantum Theory -- 5.3.2 A Hamiltonian for a Condensed Matter System -- 5.3.3 The Born-Oppenheimer Approximation -- 5.4 Density Functional Theory -- 5.5 Car-Parinello Molecular Dynamics -- 5.5.1 Force Calculations: The Hellmann-Feynman Theorem -- 5.5.2 Calculating the Ground State -- 5.6 Solving Schrödinger's Equation for Many-Particle Systems: … -- 5.6.1 The Hartree-Fock Approximation. 5.7 What Holds a Solid Together? -- 5.7.1 Homonuclear Diatomic Molecules -- 5.8 Semi-empirical Methods -- 5.8.1 Tight-Binding Method -- 5.9 Bridging Scales: Quantum Mechanics (QM) - Molecular Mechanics (MM) -- 5.10 Concluding Remarks -- 6 Computational Methods on Atomistic/Microscopic Scale -- 6.1 Introduction -- 6.1.1 Thermodynamics and Statistical Ensembles -- 6.2 Fundamentals of Statistical Physics and Thermodynamics -- 6.2.1 Probabilities -- 6.2.2 Measurements and the Ergodic Hypotheses -- 6.2.3 Statistics in Phase Space and Statistical Ensembles -- 6.2.4 Virtual Ensembles -- 6.2.5 Entropy and Temperature -- 6.3 Classical Interatomic and Intermolecular Potentials -- 6.3.1 Charged Systems -- 6.3.2 Ewald Summation -- 6.3.3 The P3M Algorithm -- 6.3.4 Van der Waals Potential -- 6.3.5 Covalent Bonds -- 6.3.6 Embedded Atom Potentials -- 6.3.7 Pair Potentials -- 6.4 Classical Molecular Dynamics Simulations -- 6.4.1 Numerical Ingredients of MD Simulations -- 6.4.2 Integrating the Equations of Motion -- 6.4.3 Periodic Boundary Conditions -- 6.4.4 The Minimum Image Convention -- 6.4.5 Efficient Search Strategies for Interacting Particles -- 6.4.6 Making Measurements -- 6.5 Liquids, Soft Matter and Polymers -- 6.5.1 Bonded Interactions -- 6.5.2 Scaling and Universality of Polymers -- 6.6 Monte Carlo Simulations -- 7 Computational Methods on Mesoscopic/Macroscopic Scale -- 7.1 Example: Meso- and Macroscale Shock-Wave Experiments -- 7.2 Statistical Methods: Voronoi Tesselations and Power Diagrams for Modeling … -- 7.2.1 Reverse Monte Carlo Optimization -- 7.3 Dissipative Particle Dynamics -- 7.4 Ginzburg-Landau/Cahn-Hiliard Field Theoretic Mesoscale Simulation Method -- 7.5 Bridging Scales: Soft Particle Discrete Elements for Shock Wave Applications -- 7.6 Bridging Scales: Energetic Links Between MD and FEM -- 7.6.1 Bridging Scales: Work-Hardening. 7.7 Physical Theories for Macroscopic Phenomena: The Continuum Approach -- 7.7.1 The Description of Fluid Motion -- 7.8 Continuum Theory -- 7.8.1 The Continuum Hypothesis -- 7.9 Theory of Elasticity -- 7.9.1 Kinematic Equations -- 7.9.2 The Stress Tensor -- 7.9.3 Equations of Motion of the Theory of Elasticity -- 7.9.4 Constitutive Equations -- 7.10 Bridging Scale Application: Crack Propagation -- 8 Perspectives in Multiscale Materials Modeling -- A Further Reading -- A.1 Foundations of Physics -- A.2 Programming Techniques -- A.3 Journals and Conferences on Multiscale Materials Modeling and Simulation -- B Mathematical Definitions -- C Sample Code for the Main Routine in a MD Program -- D A Sample Makefile -- E Tables of Physical Constants -- E.1 International System of Units (SI or mksA System) -- E.2 Conversion Factors of Energy -- References -- Index. |
Record Nr. | UNINA-9910585771403321 |
Steinhauser M. O (Martin Oliver) | ||
Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Computers and experiments in stress analysis : proceedings of the fourth International Conference on Computational Methods and Experimental Measurements, Capri, Italy, May 1989 / editors: G. M. Carlomagno, C. A. Brebbia ; sponsored by the International Society for Computational Methods in Engineering |
Autore | International conference on computational methods and experimental measurements : 4. : <1989 |
Pubbl/distr/stampa | Southampton [etc.] : Computational Mechanics Publications, 1989 |
Descrizione fisica | 2 v. ; 24 cm |
Disciplina |
620.1
515 532.051 532 |
Soggetto non controllato |
Scienza delle costruzioni - Tecnica delle costruzioni - Congressi
Materiali Edilizia Fisica Tecnica - Congressi |
ISBN |
1-85312-033-2
3-540-51112-1 0-387-51112-1 1-85312-032-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990000419310403321 |
International conference on computational methods and experimental measurements : 4. : <1989 | ||
Southampton [etc.] : Computational Mechanics Publications, 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Computing Methods in Applied Sciences : Second International Symposium December 15- 19, 1975 organised by IRIA-LABORIA / Edited by R. Glowinski and J.L. Lions |
Autore | Glowinski, Roland <1937- > |
Pubbl/distr/stampa | Berlin [etc.] : Springer-Verlag, 1976 |
Disciplina |
532
533 |
Collana | Lecture notes in physics |
Soggetto non controllato |
Liquidi
Gas Fluidi quantici |
ISBN | 3-540-08003-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990000999410403321 |
Glowinski, Roland <1937- > | ||
Berlin [etc.] : Springer-Verlag, 1976 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Contemporary developments in continuum mechanics and partial differential equations : proceedings of the International Symposium, Rio de Janeiro, August 1977 / edited by G. M. De la Penha and L. A. J. Medeiros |
Autore | ] International symposium on contemporary developments in continuum mechanics and partial differential equations : 1977 |
Pubbl/distr/stampa | Amsterdam [etc.], : North-Holland, 1978 |
Disciplina |
532
533 |
Collana | North-Holland mathematics studies |
Soggetto non controllato |
Liquidi
Gas Fluidi quantici |
ISBN | 0-444-85166-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990000982230403321 |
] International symposium on contemporary developments in continuum mechanics and partial differential equations : 1977 | ||
Amsterdam [etc.], : North-Holland, 1978 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Continuous drawing of liquids to form fibers / Morton M. Denn |
Autore | Denn, Morton M. |
Pubbl/distr/stampa | Palo Alto, California, : Annual Reviews, 1980 |
Descrizione fisica | vol.12 P. 365-387 : grafici ; 23 cm |
Disciplina |
532
677 |
Collana | Annual review of fluid mechanics |
Soggetto non controllato | Meccanica dei fluidi - Fibre tessili |
ISBN | 0-8243-0712-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNIPARTHENOPE-000034424 |
Denn, Morton M. | ||
Palo Alto, California, : Annual Reviews, 1980 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Parthenope | ||
|
Continuum mechanics of viscoelastic liquids / R. R. Huilgol |
Autore | Huilgol, R. R. <1939- > |
Pubbl/distr/stampa | Delhi : Hindustan publishing corpn., copyr. 1975 |
Descrizione fisica | XIX, 367 p. ill. cm25 cm. |
Disciplina | 532 |
Soggetto non controllato | Gasdinamica |
ISBN | 0-470-42043-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNINA-990000250110403321 |
Huilgol, R. R. <1939- > | ||
Delhi : Hindustan publishing corpn., copyr. 1975 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Continuum mechanics of viscoelastic liquids / R.R. Huilgol |
Autore | Huilgol, R. R. <1939- > |
Pubbl/distr/stampa | New York : Wiley, 1975 |
Descrizione fisica | n.v. p., 24 cm |
Disciplina | 532 |
ISBN | 0-470-42043-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ita |
Record Nr. | UNINA-990000319170403321 |
Huilgol, R. R. <1939- > | ||
New York : Wiley, 1975 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Control of turbulent and magnetohydrodynamic channel flows [[electronic resource] ] : boundary stabilization and state estimation / / Rafael Vazquez, Miroslav Krstic |
Autore | Vázquez Rafael |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Boston, : Birkhäuser, c2008 |
Descrizione fisica | 1 online resource (220 p.) |
Disciplina |
532
532.0527 |
Altri autori (Persone) | KrstićMiroslav |
Collana | Systems & control: foundations & applications |
Soggetto topico |
Boundary layer
Magnetohydrodynamics Turbulence |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-11731-5
9786611117313 0-8176-4699-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Thermal-Fluid Convection Loop: Boundary Stabilization -- Thermal-Fluid Convection Loop: Boundary Estimation and Output-Feedback Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Estimation -- 3D Magnetohydrodynamic Channel Flow: Boundary Stabilization -- 3D Magnetohydrodynamic Channel Flow: Boundary Estimation -- 2D Navier–Stokes Channel Flow: Stable Flow Transfer -- Open Problems. |
Record Nr. | UNINA-9910458724003321 |
Vázquez Rafael | ||
Boston, : Birkhäuser, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Control of turbulent and magnetohydrodynamic channel flows [[electronic resource] ] : boundary stabilization and state estimation / / Rafael Vazquez, Miroslav Krstic |
Autore | Vázquez Rafael |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Boston, : Birkhäuser, c2008 |
Descrizione fisica | 1 online resource (220 p.) |
Disciplina |
532
532.0527 |
Altri autori (Persone) | KrstićMiroslav |
Collana | Systems & control: foundations & applications |
Soggetto topico |
Boundary layer
Magnetohydrodynamics Turbulence |
ISBN |
1-281-11731-5
9786611117313 0-8176-4699-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Thermal-Fluid Convection Loop: Boundary Stabilization -- Thermal-Fluid Convection Loop: Boundary Estimation and Output-Feedback Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Estimation -- 3D Magnetohydrodynamic Channel Flow: Boundary Stabilization -- 3D Magnetohydrodynamic Channel Flow: Boundary Estimation -- 2D Navier–Stokes Channel Flow: Stable Flow Transfer -- Open Problems. |
Record Nr. | UNINA-9910784767303321 |
Vázquez Rafael | ||
Boston, : Birkhäuser, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Control of turbulent and magnetohydrodynamic channel flows [[electronic resource] ] : boundary stabilization and state estimation / / Rafael Vazquez, Miroslav Krstic |
Autore | Vázquez Rafael |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Boston, : Birkhäuser, c2008 |
Descrizione fisica | 1 online resource (220 p.) |
Disciplina |
532
532.0527 |
Altri autori (Persone) | KrstićMiroslav |
Collana | Systems & control: foundations & applications |
Soggetto topico |
Boundary layer
Magnetohydrodynamics Turbulence |
ISBN |
1-281-11731-5
9786611117313 0-8176-4699-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Thermal-Fluid Convection Loop: Boundary Stabilization -- Thermal-Fluid Convection Loop: Boundary Estimation and Output-Feedback Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Stabilization -- 2D Navier–Stokes Channel Flow: Boundary Estimation -- 3D Magnetohydrodynamic Channel Flow: Boundary Stabilization -- 3D Magnetohydrodynamic Channel Flow: Boundary Estimation -- 2D Navier–Stokes Channel Flow: Stable Flow Transfer -- Open Problems. |
Record Nr. | UNINA-9910823699903321 |
Vázquez Rafael | ||
Boston, : Birkhäuser, c2008 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|