| Description |
1 online resource (225 pages) |
| Series |
CISM International Centre for Mechanical Sciences, Courses and lectures ; v. 599 |
|
Courses and lectures ; no. 599.
|
| Contents |
Intro -- Preface -- Contents -- Discrete Element Methods: Basics and Applications in Engineering -- Introduction -- Governing Equations -- Constitutive Modeling of the Particle Phase -- Normal Contact Model -- Tangential Contact Model -- Rolling Resistance Model -- DEM Solver -- Time Integration -- Search Algorithms -- Example: Silo Discharge -- DEM Using Parallel Solvers -- Solver DEMFLOW -- Numerical Test: Medium Number of Cores -- Numerical Test: Large Number of Cores -- Conclusion -- References -- Adaptive Integration of Cut Finite Elements and Cells for Nonlinear Structural Analysis |
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Introduction -- The Finite Cell Method -- Weak Formulation -- Discretization of the Weak Formulation -- A Simple Linear Elastostatic Example -- Standard Numerical Integration Schemes -- Newton-Cotes Formulas (pq=n-1) -- Gauss-Legendre Quadrature (pq=2n-1) -- Adaptive Quadtree/Octree Quadrature Schemes -- Numerical Integration Based on Moment Fitting -- Moment Fitting Equations -- Adaptive Moment Fitting -- Treatment of Integration Points in the Fictitious Domain -- Numerical Examples -- J2 Flow Theory of Plasticity for Small Strains -- J2 Flow Theory of Plasticity for Large Strains -- Conclusions |
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Appendix -- References -- Numerical Implementation of Phase-Field Models of Brittle Fracture -- Introduction -- Formulation -- Quasi-Static Evolution (Incremental Variational Problem) -- Treatment of Irreversibility -- Relaxed (̀Crack-Set' Irreversibility) -- Implicit (̀History-Field' Irreversibility) -- Penalized -- Examples -- Solution Strategies -- Staggered -- Monolithic (Newton-Raphson with Line-Search) -- Examples -- Conclusions -- References -- Practical Computational Fluid Dynamics with the Finite Volume Method -- Introduction -- Governing Equations |
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Numerical Solution of Continuum Problems -- Closure -- Mesh Generation and Mesh Handling -- Guidance on Mesh Generation -- Mesh Types -- Adaptive Mesh Refinement -- FVM Mesh Quality Metrics -- Dynamic Mesh Simulations -- Closure -- Finite Volume Discretisation -- Generic Scalar Transport Equation -- Numerical Discretisation -- Rate of Change -- Gradient -- Convection -- Diffusion -- Source and Sink Terms -- Numerical Boundary Conditions -- Time Advancement -- Closure -- Pressure-Velocity Coupling -- Governing Equations -- Pressure Equation as a Schur Complement |
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Derivation of the Pressure Equation -- Segregated Solution Algorithm: SIMPLE -- Segregated Solution Algorithm: PISO -- Block-Implicit Coupled Solution -- Closure -- Linear Equation Solvers -- Finite Volume Matrix -- Matrix Storage Formats -- Matrix Properties -- Definition of Residual -- Direct Solvers -- Iterative Solvers -- Krylov Subspace Solvers -- Preconditioning -- Algebraic Multigrid -- Block-Coupled Solution Algorithms -- Closure -- Examples -- CFD for External Aerodynamics -- Turbomachinery CFD -- Biomedical CFD Simulations -- Closure -- References |
| Summary |
The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models |
| Notes |
Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Engineering -- Mathematical models
|
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Engineering -- Computer simulation
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Engineering -- Computer simulation
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Engineering -- Mathematical models
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| Form |
Electronic book
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| Author |
De Lorenzis, Laura
|
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Düster, Alexander
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| ISBN |
9783030375188 |
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3030375188 |
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