Advances in Fluid Mechanics: Modelling and Simulations (Forum for Interdisciplinary Mathematics)

✍ Scribed by Dia Zeidan (editor), Lucy T. Zhang (editor), Eric Goncalves Da Silva (editor), Jochen Merker (editor)

• Publisher: Springer
• Year: 2022
• Tongue: English
• Leaves: 240
• Category: Library

✦ Synopsis

This edited book provides invited and reviewed contributions in mathematical, physical and experimental modelling and simulations in all fluid mechanics branches. Contributions explore the emerging and state-of-the-art tools in the field authored by well-established researchers to derive improved performance of modelling and simulations. Serving the multidisciplinary fluid mechanics community, this book aims to publish new research work that enhances the prediction and understanding of fluid mechanics and balances from academic theory to practical applications through modelling, numerical studies, algorithms and simulation. The book offers researchers, students and practitioners significant insights on modelling and simulations in fluid mechanics. It offers readers a range of academic contributions on fluid mechanics by researchers that have become leaders in their field. The research work presented in this book will add values to the existing literature in terms of what needs to be done better to direct modelling and simulations towards a growing and rapidly developing field.

✦ Table of Contents

Preface
Contents
About the Editors
Computational Fluid Dynamics Applications in Cardiovascular Medicine—from Medical Image-Based Modeling to Simulation: Numerical Analysis of Blood Flow in Abdominal Aorta
1 Introduction
2 The Cardiovascular System
3 Medical Image Segmentation
4 Computational Fluid Dynamics and Cardiovascular Medicine
5 Example: Numerical Analysis of Blood Flow in Abdominal Aorta and Its Branches
5.1 Medical Considerations
5.2 Geometry
5.3 ANSYS Fluent Versus SimVascular—Steady-State Analysis
6 Conclusions
References
An Improved Density-Based Compressible Flow Solver in OpenFOAM for Unsteady Flow Calculations
1 Introduction
2 Mathematical Model
2.1 Improved Solution Method
2.2 Time Integration Method
3 Numerical Results
3.1 Shock Tube Experiment
3.2 Shu-Osher Shock Tube Problem: Entropy Wave Propagation
3.3 Forward Step
3.4 Inviscid Shock-Vortex Interaction
3.5 Supersonic Jet
3.6 Laminar Flow over a Backward Facing Step at Low Mach Number
3.7 Turbulent Flow over a NACA0012 Airfoil
3.8 Flow over a Pitching NACA0012 Airfoil (Minfty=0.3, Rec=3M)
4 Conclusion
References
Finite Volume Models and Efficient Simulation Tools (EST) for Shallow Flows
1 Introduction
2 Shallow-Water-Type Approximations
3 Dimensional Analysis of the Terms in the Equations
4 Depth Integrated 2D System
4.1 Turbulence Modeling
4.2 Simplified Models for Hydraulic/Hydrological Surface Flows
5 Governing Depth-Averaged Equations for Sediment-Laden Erosive Flows
5.1 Simplified Models for Sediment Transport
5.2 Flow Resistance Estimation in Sediment-Laden Flows
6 Numerical Resolution Using Riemann Solvers and the Finite Volume Framework
6.1 Approximate Riemann Solvers
6.2 Application to Water Flow
6.3 Application to Sediment-Laden Erosive Flows
7 Higher-Order Approaches in the Presence of Source Terms
7.1 The WENO Reconstruction
7.2 Augmented WENO-RK Schemes for the SW Equations
7.3 Augmented WENO-ADER Schemes for the SW Equations
7.4 Augmented DG-RK Schemes for the SW Equations
7.5 Application of High-Order Schemes
8 HPC for Large Environmental Problems
8.1 HPC Techniques
8.2 Application to a Large Environmental Problem
8.3 HPC Challenges and Perspectives
9 Final Comments
References
Overview of Outfall Discharge Modeling with a Focus on Turbulence Modeling Approaches
1 Introduction and Background
1.1 Environmental Impacts of Effluent Discharge
1.2 Environmental Regulations
1.3 Outfall Discharge System as a Solution
2 Outfall Discharge Mixing Behavior and Classification
2.1 Behavior of the Discharge: Near- and Far-Field Regions
2.2 Outfall Discharge Principles and Classification
3 Outfall Discharge Modeling
3.1 Governing Equations
3.2 Solution Methods and Simulation Techniques for Discharge Modeling
3.3 Turbulence Modeling
4 Outfall Discharge Analysis and Design
4.1 Single Port Effluent Discharges
4.2 Multiport Effluent Discharges
5 Knowledge Gaps
6 Concluding Remarks
References
A Unified Algorithm for Interfacial Flows with Incompressible and Compressible Fluids
1 Introduction
2 State of the Art
2.1 Density-Based Algorithms
2.2 Pressure-Based Algorithms
2.3 Algorithms for Compressible–Incompressible Flows
3 Governing Equations
4 Thermodynamic Closure
5 Numerical Framework
5.1 Finite-Volume Discretisation
5.2 Advecting Velocity
5.3 Discretised Governing Conservation Laws
5.4 Incompressible Limit
5.5 Solution Procedure
6 Interface Treatment
6.1 Interface Advection
6.2 Fluid Properties
6.3 Coupling of the Bulk Phases
7 Validation
7.1 Bubble in Equilibrium
7.2 Capillary Waves
7.3 Acoustic Waves
7.4 Bubble Collapse
7.5 Shock–Drop Interaction
8 Conclusions
References
Stabilized Finite Element Formulation and High-Performance Solver for Slightly Compressible Navier–Stokes Equations
1 Introduction
2 Slightly Compressible N–S for Aeroacoustics
2.1 Governing Equations
2.2 Finite Element Numerical Approximation with Stabilization
3 Construction of Preconditioner for System Matrix
3.1 Incomplete Schur Complement Preconditioner
3.2 Parallel Implementation of Incomplete Schur Complement Preconditioner
4 Numerical Experiments
4.1 2D Acoustic Wave in a Closed Duct
4.2 2D Acoustic Wave in a Duct with One Open End
4.3 Preconditioner Performance
5 Conclusion
References