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This book aims to show how hemodynamic numerical models based on Computational Fluid Dynamics (CFD) can be developed. An approach to Fluid Mechanics is made from a historical point of view focusing on the Navier-Stokes Equations and a fluid-mechanical description of blood flow. Finally, the techniques most used to visualize cardiac flows and validate numerical models are detailed, paying special attention to Magnetic Resonance Imaging (MRI) in case of an in vivo validation and Particle Image Velocimetry (PIV) for an in vitro validation.

Fluid mechanics. --- Engineering Fluid Dynamics. --- Hydromechanics --- Continuum mechanics --- Hemodynamics. --- Blood --- Cardiac output --- Hydrodynamics --- Circulation

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This book provides a comprehensive description of numerical methods and validation processes for predicting transitional flows based on the Langtry–Menter local correlation-based transition model, integrated with both one-equation Spalart–Allmaras (S–A) and two-equation Shear Stress Transport (SST) turbulence models. A comparative study is presented to combine the respective merits of the two coupling methods in the context of predicting the boundary-layer transition phenomenon from fundamental benchmark flows to realistic helicopter rotors. The book will of interest to industrial practitioners working in aerodynamic design and the analysis of fixed-wing or rotary wing aircraft, while also offering advanced reading material for graduate students in the research areas of Computational Fluid Dynamics (CFD), turbulence modeling and related fields.

Aerospace engineering. --- Astronautics. --- Fluids. --- Fluid mechanics. --- Aerospace Technology and Astronautics. --- Fluid- and Aerodynamics. --- Engineering Fluid Dynamics.

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This book gathers the proceedings of the 12th instalment in the bi-annual Workshop series on Direct and Large Eddy Simulation (DLES), which began in 1994 and focuses on modern techniques used to simulate turbulent flows based on the partial or full resolution of the instantaneous turbulent flow structure. With the rapidly expanding capacities of modern computers, this approach has attracted more and more interest over the years and will undoubtedly be further enhanced and applied in the future. Hybrid modelling techniques based on a combination of LES and RANS approaches also fall into this category and are covered as well. The goal of the Workshop was to share the state of the art in DNS, LES and related techniques for the computation and modelling of turbulent and transitional flows. The respective papers highlight the latest advances in the prediction, understanding and control of turbulent flows in academic and industrial applications.

Fluid mechanics. --- Engineering Fluid Dynamics. --- Hydromechanics --- Continuum mechanics --- Turbulence --- Computer simulation. --- Flow, Turbulent --- Turbulent flow --- Fluid dynamics

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This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.

Partial differential equations. --- Fluid mechanics. --- Mathematical physics. --- Partial Differential Equations. --- Engineering Fluid Dynamics. --- Mathematical Applications in the Physical Sciences.

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This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications. It starts with derivation of the time-dependent, three-dimensional equation of compressible potential flows, and a study of weak waves, including evaluation of the sound speed in gases. The following chapter addresses quasi-one-dimensional flows, the study of normal shock waves, and flow in ducts with constant cross section subjected to friction and/or heat transfer. It also investigates the effects of friction and heat transfer in ducts with variable cross section. The chapter ends by pointing to the analogy between one-dimensional compressible flows and open channel hydraulics. Further, the book discusses supersonic flows, including the study of oblique shock waves, and supersonic flows over corners and wedges. It also examines Riemann problems, numerical resolution of the wave equation, and of nonlinear hyperbolic problems, including propagation of strong waves. A subsequent chapter focuses on the small perturbation theory of subsonic, transonic and supersonic flows around slender bodies aligned or almost aligned to the uniform inflow. In particular, it explores subsonic and supersonic flows over a wavy wall. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. The final chapter addresses the problem of transonic flows where both subsonic and supersonic are present. Lastly, an appendix with a short derivation of the Fluid Mechanics basic equations is included. Illustrated with several practical examples, this book is a valuable tool to understand the most fundamental mathematical principles of compressible flows. Graduate Mathematics, Physics and Engineering students as well as researchers with an interest in the aerospace sciences benefit from this work.

Mathematical models. --- Fluid mechanics. --- Fluids. --- Mathematical Modeling and Industrial Mathematics. --- Engineering Fluid Dynamics. --- Fluid- and Aerodynamics. --- Hydromechanics --- Continuum mechanics --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Models, Mathematical --- Simulation methods