Modeling in engineering using innovative numerical methods for solids and fluids. (2020)

• Record Type: Book
• Further Information: Note: Laura De Lorenzis, Alexander Düster, editors.
• Other Names: De Lorenzis, Laura; Düster, Alexander
• 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 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 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 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 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
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (225 pages)
• Subjects: 620.001/15118; Engineering -- Mathematical models; Engineering -- Computer simulation; Engineering -- Computer simulation; Engineering -- Mathematical models; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030375188; 3030375188
• Related ISBNs: 9783030375171
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.