Cartesian CFD Methods for Complex Applications (SEMA SIMAI Springer Series, 3)

✍ Scribed by Ralf Deiterding (editor), Margarete Oliveira Domingues (editor), Kai Schneider (editor)

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 150
• Category: Library

✦ Synopsis

This volume collects the most important contributions from four minisymposia from ICIAM 2019. The papers highlight cutting-edge applications of Cartesian CFD methods and describe the employed algorithms and numerical schemes. An emphasis is laid on complex multi-physics applications like magnetohydrodynamics, combustion, aerodynamics with fluid-structure interaction, solved with various discretizations, e.g. finite difference, finite volume, multiresolution or lattice Boltzmann CFD schemes. Software design aspects and parallelization challenges are also considered. The book is addressed to graduate students and scientists in the fields of applied mathematics and computational engineering.

✦ Table of Contents

Preface
Contents
About the Editors
AMR Enabled Quadtree Discretization of Incompressible Navier–Stokes Equations with Moving Boundaries
1 Introduction
2 The Penalized Navier–Stokes Model
3 Discretization of the Governing Equations
3.1 Time Integration
3.2 Spatial Discretizations
3.2.1 Discretization of the Divergence Operator
3.2.2 Discretization of the Laplacian Operator
3.2.3 Discretization of the Convective Term
4 Numerical Validations
4.1 Flow Past a Cylinder
4.1.1 Re = 200
4.1.2 Re = 550
4.2 Sedimentation of a Cylinder
5 Conclusion
References
Fluid–Structure Interaction Using Volume Penalization and Mass-Spring Models with Application to FlappingBumblebee Flight
1 Introduction
2 Numerical Methods and Governing Equations
2.1 Solid Solver Using Mass-Spring System
2.2 Fluid Solver and Volume Penalization Method
2.3 Fluid–Structure Interaction
3 Numerical Setup and Bumblebee Model
3.1 Flow Configuration
3.2 Bumblebee Model
3.3 Flexible Wing Model
3.3.1 Venation Pattern
3.3.2 Mass Distribution
3.3.3 Flexural Rigidity of Veins
4 Results and Discussion
4.1 Tethered Flight in Laminar Flow
4.2 Tethered Flight in Turbulent Flow
5 Conclusions and Perspectives
References
No-Slip and Free-Slip Divergence-Free Wavelets for the Simulation of Incompressible Viscous Flows
1 Introduction
2 Free-Slip Divergence-Free Wavelet Bases on [0,1]d
2.1 Multiresolution Analyses Linked by Differentiation and Integration
2.2 Free-Slip and No-Slip Divergence-Free Wavelet Construction
2.3 Extension to Higher Dimension d>3
3 Divergence-Free Wavelet Schemes for the Navier–Stokes Equations
3.1 Temporal Discretization
3.2 Spatial Discretization
3.3 Numerical Error Estimations
4 Numerical Results
4.1 Divergence Free Wavelet Illustration
4.2 Analyses of Time and Space Convergence Rates
4.3 Simulation of 3D Lid-Driven Flows
5 Conclusion
Appendix
References
An Immersed Boundary Method on Cartesian Adaptive Grids for the Simulation of Compressible Flows
1 Introduction
2 Description of the Immersed Boundary Method
2.1 Governing Equations
2.2 The Immersed Boundary Method
2.3 Types of Immersed Boundary Conditions
2.3.1 Wall Slip and No-Slip IBCs
2.3.2 Wall Function for High Reynolds Flow Simulations
2.3.3 Use of Several Types of Immersed Boundary Conditions for a Given Configuration
3 IBM on Adaptive Cartesian Grids
3.1 Motivation
3.2 Automatic IBM Preprocessing for Complex Geometries
3.2.1 Description of the Workflow
3.2.2 Evaluation of Performance of the Preprocessing
3.3 IBM Simulations Using a Dedicated Cartesian CFD Solver
3.3.1 FastS HPC Solver
3.3.2 Numerical Methods
3.3.3 Update of IBM Points During the CFD Simulation
3.4 Adaptation of the Mesh During the IBM Simulation
4 Numerical Results
4.1 Validation of the Adaptive Cartesian IBM on a Two-Dimensional Supersonic Case
4.2 Unsteady Flow Simulation Around a High-Lift Airfoil
4.2.1 Description of the Test-Case
4.2.2 Results
5 Conclusions
References
Magnetohydrodynamics Adaptive Solvers in the AMROC Framework for Space Plasma Applications
1 Introduction
2 AMROC
2.1 Adaptive Meshes
2.2 Implementation Aspects
3 MHD Modelling
4 Experiments and Discussions
4.1 Magnetic Shock-Cloud (MSC)
4.2 Magnetic Reconnection (REC)
4.3 Magnetosphere (MAG)
5 Conclusion
Appendix
References
Verification of the WALE Large Eddy Simulation Model for Adaptive Lattice Boltzmann Methods Implemented in the AMROC Framework
1 Introduction
2 Methodology
2.1 Lattice Boltzmann Method
2.1.1 Regularised Single Relaxation Time Collision Model
2.2 Large Eddy Simulation
2.2.1 Constant Smagorinsky Model
2.2.2 Wall-Adapting Local Eddy Viscosity Model
2.3 Structured Dynamic Mesh Adaptation
3 Boundary Conditions in AMROC-LBM
3.1 Domain Boundaries
3.1.1 Inlet
3.1.2 Outlet
3.2 Embedded Wall Boundaries
3.3 Imposing Macroscopic Variables in Ghost Cells
4 Results
4.1 Decaying Homogeneous Isotropic Turbulence
4.2 Sphere at Reynolds Number 1000
5 Conclusions
References