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

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