The FEniCS Project : The FEniCS 2024 Conference

• Autore: Dokken Jørgen S
• Pubblicazione: Cham : , : Springer, , 2026; ©2026
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (125 pages)
• Disciplina: 620.001515353
• Altri autori: Dokken
• Nota di contenuto: Intro -- Series Foreword -- Foreword -- Preface -- Contents -- Chapter 1 Adaptive Finite Element Methods Based on Flux Equilibration Using FEniCSx -- 1.1 Introduction -- 1.2 A Posteriori Error Estimation Based on Equilibrated Fluxes -- 1.3 Algorithms and Implementation -- 1.4 Results -- 1.5 Conclusions -- Supplementary material -- References -- Chapter 2 The FEniCS Project on AWS Graviton3 -- 2.1 Introduction -- 2.2 Methodology and Results -- 2.2.1 Systems -- 2.2.2 Memory Bandwidth -- 2.2.3 Finite Element Kernels -- 2.2.4 Parallel Scalability -- 2.3 Conclusions -- Supplementary Material -- References -- Chapter 3 cuDOLFINx: A CUDA Extension for FEniCSx -- 3.1 Introduction -- 3.2 Overview of cuDOLFINx -- 3.3 Sample Usage -- 3.4 Performance Evaluation -- 3.4.1 Poisson Equation -- 3.4.2 Shallow Water Equations -- 3.4.3 Navier-Stokes Equation -- 3.5 Conclusion -- 3.6 Supplementary Material -- References -- Chapter 4 Implementation of the Lam-Bremhorst k-ε Turbulence Model in FEniCS -- 4.1 Introduction and Governing Equations -- 4.1.1 Literature Review -- 4.1.2 Modelling Turbulence -- 4.1.3 The Lam-Bremhorst k-ε Model and Boundary Conditions -- 4.1.4 Non-dimensionalised Quantities and the Law of the Wall -- 4.2 Implementation -- 4.2.1 Weak Formulation of the k-ε Transport Equations -- 4.2.2 Further Treatment of the Equations -- 4.2.3 Computational Mesh and Distance from the Wall -- 4.3 Results -- 4.3.1 Fully Developed Turbulent Channel Flow -- 4.3.2 Flow over a Backward-Facing Step -- 4.4 Conclusion -- References -- Chapter 5 Growth and Remodelling Package in FEniCSx -- 5.1 Introduction -- 5.2 Methods -- 5.2.1 Growth and Remodelling in Continuum Mechanics -- 5.2.2 Numerical Implementation -- 5.2.3 Solving Growth Laws on the Unit Cube -- 5.2.4 Growth Models -- 5.3 Results -- 5.4 Conclusion and Future Work -- References. ; Chapter 6 Blood Flow in the Beating Heart: Coupling Fluid Dynamics to Reduced Wall and Circulation Models for Data-Driven Cardiac FSI -- 6.1 Introduction -- 6.2 Methods -- 6.2.1 Patient Data Preprocessing -- 6.2.2 Strong Form Problem Statement -- 6.2.3 Weak Form and Linearization -- 6.2.4 Discretization and Solution -- 6.3 Results -- 6.4 Conclusion -- References -- Chapter 7 Estimation of Optimal Inlet Boundary Conditions for Blood Flow Assessment in Abdominal Aortic Aneurysm Using Variational Data Assimilation -- 7.1 Introduction -- 7.1.1 Related Works -- 7.1.2 Our Goal -- 7.2 Methods -- 7.2.1 Data Assimilation Method -- 7.2.2 Forward Problem Definition -- 7.2.3 Optimisation Problem Definition -- 7.2.4 Benchmark Tests -- 7.2.5 Computational Costs -- 7.2.6 Preliminary Tests -- 7.2.7 Progressively Demanding Tests -- 7.3 Discussion -- 7.3.1 From 2DVar+t to 3DVar -- 7.3.2 AAA Benchmark -- 7.4 Conclusions -- References -- Chapter 8 Thermal Analysis of Brake Discs in Rail Vehicles -- 8.1 Introduction -- 8.2 Methods -- 8.2.1 Modelling -- 8.2.2 Experiment -- 8.3 Results and Discussion -- 8.3.1 Validation -- 8.3.2 Average and Maximum Temperatures -- 8.4 Conclusion -- References -- Chapter 9 Function Scaling and Adaptive Boundary Condition Throttling for Convergence Control in Highly Nonlinear Poisson-Boltzmann Electrolyte Models -- Introduction -- 9.1 Weak Formulation of the PB Model -- 9.1.1 Non-electrostatic Interactions: A Steric Model with Finite Ion Size -- 9.2 Numerical Convergence -- 9.2.1 Graded Mesh -- 9.2.2 Solver Description -- 9.2.3 Function Scaling -- 9.2.4 Throttling Algorithm -- 9.3 Conclusion -- References.
• Sommario/riassunto: This open access book provides the reader with a snapshot of the cutting-edge research being undertaken by the members of the FEniCS community, as presented at the FEniCS Conference at Simula Research Laboratory, Oslo, Norway, in June 2024.
• Titolo autorizzato: The FEniCS Project
• ISBN: 3-032-17396-5; 9783032173966
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9911065972503321
• Lo trovi qui: Univ. Federico II
• Serie: Simula SpringerBriefs on computing ; ; v. 19.