Within the DFG -Schwerpunktprogramm "Stromungssimulation mit Hochleistungsrechnern" and within the activities of the French-German cooperation of CNRS and DFG a DFG symposium on "Computational Fluid Dynamics (CFD) on Parallel Systems" was organized at the Institut fur Aerodynamik and Gasdynamik of the Stuttgart University, 9-10 December 1993. This symposium was attended by 37 scientists. The scientific program consisted of 18 papers that considered finite element, finite volume and a two step Taylor Galerkin algorithm for the numerical solution of the Euler and Navier-Stokes equations on massively parallel computers with MIMD and SIMD architecture and on work station clusters. Incompressible and compressible, steady and unsteady flows were considered including turbu lent combustion with complex chemistry. Structured and unstructured grids were used. High numerical efficiency was demonstrated by multiplicative, additive and multigrid methods. Shared memory, virtual shared memory and distributed memory systems were investigated, in some cases based on an automatic grid partitioning technique. Various methods for domain decomposition were investigated. The key point of these methods is the resolution of the inter face problem because the matrix involved can be block dense. Multilevel decomposition can be very efficient using multifrontal algorithm. The numerical methods include explicit and implicit schemes. In the latter case the system of equations is often solved by a Gauss -Seidel line re laxation technique."

The content of the volume is constituted by four articles. The first concerns the theory of propagation of plane waves in elastic media. The second treats theoretically the linear, weakly non-linear, and non-linear stability of flows of a viscous incompressible fluid in a diverging channel. The third lecture investigates the mathematical properties of the equations governing the motion of a viscous incompressible second-grade fluid, such as existence, uniqueness of classical solutions and stability of steady-state flows. The last lecture provides some basic results on wave propagation in continuum models. The objective of this book is to emphasize and to compare the various aspects of interest which include the necessary mathematical background, constitutive theories for material of differential type, polarized and shock waves, and second sound in solids at low temperatures.

This book presents the contents of a CISM Course on waves and instabilities in plasmas. For beginners and for advanced scientists a review is given on the state of knowledge in the field. Customers can obtain a broad survey.

Das Buch fuhrt in die CAE-Methoden ein und behandelt die spezifischen Fragestellungen von CAE-Methoden in der Fahrzeugtechnik. Zunachst werden Grundlagen zur Modellbildung und zu Diskretisierungsverfahren fur partielle Differentialgleichungen dargestellt. Die anschliessenden Kapitel beschreiben die Inhalte Temperaturausgleich, Mehrkorpersimulationen sowie Statik und Dynamik elastischer Korper. Es folgt ein Kapitel uber Finite-Elemente. Anschliessend werden die fahrzeugspezifischen Themen Crash- und Insassensimulation, Akustik, Statik und Dynamik von Rohkarosserien, Mehrkorpersimulationen und Lebensdauer, Stromungssimulation und Reifen-Fahrbahn-Wechselwirkungen behandelt. Erganzt werden die Inhalte durch Kapitel uber nichtlineare Phanomene und Optimierungsverfahren."

This book provides a self-contained presentation of optical methods used to measure the structure and dynamics of complex fluids subject to the influence of external fields. Such fields--hydrodynamic, electric, and magnetic--are commonly encountered in both academic and industrial research, and can produce profound changes in the microscale properties of liquids comprised of polymers, colloids, liquid crystals, or surfactants. Starting with the basic Maxwell field equations, this book discusses the polarization properties of light, including Jones and Mueller calculus, and then covers the transmission, reflection, and scattering of light in anisotropic materials. Spectroscopic interactions with oriented systems such as absorptive dichroism, small wide angle light scattering, and Raman scattering are discussed. Applications of these methods to a wide range of problems in complex fluid dynamics and structure are presented, along with selected case studies chosen to elucidate the range of techniques and materials that can be studied. As the only book of its kind to present a self-contained description of optical methods used for the full range of complex fluids, this work will be special interest to a wide range of readers, including chemical engineers, physical chemists, physicists, polymer and colloid scientists, along with graduate and post-graduate researchers.

This volume offers a wide range of theoretical, numerical and experimental research papers on fluid dynamics. The major fields of research - fundamentals of fluid mechanics as well as their applications - are treated: - stability phenomena: convective flow, thermal and hydrodynamic systems - transition, turbulence and separation: boundary-layer, turbulent combustion, rarefied gasdynamics, near wall and off wall flow fields, energy dissipation - transonic flow: homogeneous condensation, shock-waves, effects at Mach number unity - hypersonic flow: flow over spheres, aerothermodynamics, relaxation - fluid machinery: axial fans, compressor cascades, fluid couplings - computational fluid dynamics: passive shock control, zonal computation, cylinderflow, flow over wings - miscellaneous problems.

Mechanics of Continua and Wave Dynamics is a textbook for a course on the mechanics of solids and fluids with the emphasis on wave theory. The material is presented with simplicity and clarity but also with mathematical rigor. Many wave phenomena, especially those of geophysical nature (different types of waves in the ocean, seismic waves in the earth crust, wave propagation in the atmosphere, etc.), are considered. Each subject is introduced with simple physical concepts using numerical examples and models. The treatment then goes into depth and complicated aspects are illustrated by appropriate generalizations. Numerous exercises with solutions will help students to comprehend and assimilate the ideas.

This book contains original papers presented at the Fourth International Conference on Hyperbolic Problems which was held on April 3-8, 1992 in Taormina (Sicily), Italy. The aim of the Conferences in this cycle is to bring together scientists with interest in theo retical, applied and computational aspects of hyperbolic partial differential equations. The contributions, well balanced among these three aspects, deal with: mathematical theory of wave propagation, kinetic theory, existence, uniqueness and stabil ity of solutions, mathematical modeling of physical phenomena, stability and convergence of numerical schemes, multidimensional computational applications, etc. The papers are printed in the authors' alphabetic order following the idea both of mixing together topics of interest to different areas and of considering either theoretical results connected with applied problems or new applications with an essential mathemat ical approach. The Proceedings from the previous Conferences held in St. Etienne (1986), Aachen (1988) and Uppsala (1990) appeared respectively as: Lecture Notes in Mathematics, 1270, P. Carasso, P. A. Raviart & D. Serre (Eds.), Springer-Verlag (1987) Notes on Numerical Fluid Mechanics, 24, J. Ballmann & R. Jeltsch (Eds.), Vieweg (1989 ) Third International Conference on Hyperbolic Problems, B. Engquist & B. Gustafs son (Eds.), Vol. I, II, Studentlitteratur, Uppsala University (1991). The organizers and the editors of the Conference would like to thank the Scientific Committee for the generous support, for suggesting the invited lectures, and for selecting the contributed papers."

Introduction to Fluid Mechanics, Sixth Edition, is intended to be used in a first course in Fluid Mechanics, taken by a range of engineering majors. The text begins with dimensions, units, and fluid properties, and continues with derivations of key equations used in the control-volume approach. Step-by-step examples focus on everyday situations, and applications. These include flow with friction through pipes and tubes, flow past various two and three dimensional objects, open channel flow, compressible flow, turbomachinery and experimental methods. Design projects give readers a sense of what they will encounter in industry. A solutions manual and figure slides are available for instructors.

Table of Contents

Chapter 1 Fundamental Concepts

1.1 Dimensions and Units

1.2 Definition of a Fluid

1.3 Properties of Fluids

1.4 Liquids and Gases

1.5 Continuum

Problems

Chapter 2 Fluid Statics

2.1 Pressure and Pressure Measurement

2.2 Hydrostatic Forces on Submerged Plane Surfaces

2.3 Hydrostatic Forces on Submerged Curved Surfaces

2.4. Equilibrium of Accelerating Fluids

2.5 Forces on Submerged Bodies

2.6 Stability of Submerged and Floating Bodies

2.7 Summary

Internet Resources

Problems

Chapter 3 Basic Equations of Fluid Mechanics

3.1 Kinematics of Flow

3.2 Control Volume Approach

3.3 Continuity Equation

3.4 Momentum Equation

3.4.1 Linear Momentum Equation

3.5 Energy Equation

3.6 Bernoulli Equation

3.7 Summary

Internet Resources

Problems

Chapter 4 Dimensional Analysis and Dynamic Similitude

4.1 Dimensional Homogeneity and Analysis

4.2 Dimensionless Ratios

4.3 Dimensional Analysis by Inspection

4.4 Similitude

4.5 Correlation of Experimental Data

4.6 Summary

Internet Resources

Problems

Chapter 5 Flow in Closed Conduits

5.1. Laminar and Turbulent Flows

5.2. Effect of Viscosity

5.3 Pipe Dimensions and Specifications

5.4 Equation of Motion

5.5 Friction Factor and Pipe Roughness

5.6 Simple Piping Systems

5.7 Minor Losses

5.8 Pipes in Parallel

5.9 Pumps and Piping Systems

5.10 Summary

Internet Resources

Problems

Chapter 6 Flow over Immersed Bodies

6.1. Flow past a Flat Plate

6.2 Flow past Various Two-Dimensional Bodies

6.3 Flow past Various Three-Dimensional Bodies

6.4 Applications to Ground Vehicles

6.5 Lift on Airfoils

6.6. Summary

Internet Resources

Problems

Chapter 7 Flow in Open Channels

7.1 Types of Open-Channel Flows

7.2 Open-Channel Geometry Factors

7.3 Energy Considerations in Open-Channel Flows

7.4 Critical Flow Calculations

7.5. Equations for Uniform Open-Channel Flows

7.6 Hydraulically Optimum Cross Section

7.7 Nonuniform Open-Channel Flow

7.8 Summary

Internet Resources

Problems

Chapter 8 Compressible Flow

8.1 Sonic Velocity and Mach Number

8.2 Stagnation Properties and Isentropic Flow

8.3 Flow through a Channel of Varying Area

8.4 Normal Shock Waves

8.5 Compressible Flow with Friction

8.6 Compressible Flow with Heat Transfer

8.7 Summary

Internet Resources

Problems

Chapter 9 Turbomachinery

9.1 Equations of Turbomachinery

9.2 Axial-Flow Turbines

9.3 Axial-Flow Compressors, Pumps, and Fans

9.4 Radial-Flow Turbines

9.5. Radial-Flow Compressors and Pumps

9.6 Power-Absorbing versus Power-Producing Machines

9.7 Dimensional Analysis of Turbomachinery

9.8 Performance Characteristics of Centrifugal Pumps

9.9 Performance Characteristics of Hydraulic Turbines

9.10 Impulse Turbine (Pelton Turbine)

9.11 Summary

Problems

Chapter 10 Measurements in Fluid Mechanics

10.1. Measurement of Viscosity

10.2 Measurement of Static and Stagnation Pressures

10. 3 Measurement of Velocity

10.4 Measurement of Flow Rates in Closed Conduits

10.5 Measurements in Open-Channel Flows

10.6 Summary

Problems

Chapter 11 The Navier-Stokes Equations

11.1 Equations of Motion

11.2 Applications to Laminar Flow

11.3. Graphical Solution Methods for Unsteady Laminar Flow Problems

11.4. Introduction to Turbulent Flow

11.5. Summary

Problems

Chapter 12 Inviscid Flow

12.1 Equations of Two-Dimensional Inviscid Flows

12.2 Stream Function and Velocity Potential

12.3 Irrotational Flow

12.4 Laplace’s Equation and Various Flow Fields

12.5 Combined Flows and Superpositions

12.6 Inviscid Flow past an Airfoil

12.7 Summary

Problems

Chapter 13 Boundary-Layer Flow

13.1 Laminar and Turbulent Boundary-Layer Flow

13.2 Equations of Motion for the Boundary Layer

13.3 Laminar Boundary-Layer Flow over a Flat Plate

13.4 Momentum Integral Equation

13.5 Momentum Integral Method for Laminar Flow over a Flat Plate

13.6. Momentum Integral Method for Turbulent Flow over a Flat Plate

13.7 Laminar and Turbulent Boundary-Layer Flow over a Flat Plate

13.8 Summary

Problems

Appendix A: Conversion Factors and Properties of Substances

Appendix B: Geometric Elements of Plane Areas

Appendix C: Pipe and Tube Specifications

Appendix D: Compressible Flow Tables

Appendix E: Miscellaneous

Bibliography

Index

Currently much research is being undertaken, within a wide range of scientific and engineering disciplines, on macroscopic phenomena associated with liquid boundaries. This volume contains articles which address the modelling of such phenomena from a variety of viewpoints. These works serve to acquaint the reader with the range of macroscopic behaviour which can occur at liquid boundaries, to indicate various aproaches to relevant continuum descriptions and the difficulties of modelling non-equilibrium situations, to demonstrate applications of continuum models to the solution of practical problems, and to convey due appreciation of experimental aspects of the subject. The specific topics addressed are phenomenological approaches to fluid-flute interfaces and the physical interpretation of associated concepts and quantities, non-equilibrium thermodynamics and statistical physics of liquid-vapour interfaces, the physics of ice-water phase-change surfaces, and the prediction of static and dynamic contact angles, wetting and spreading.

Das Buch behandelt ausfuhrlich das Verhalten der thermischen Turbomaschinen unter geanderten Betriebsbedingungen und darauf aufbauend ihre Regelungseigenschaften. Weiter werden die spezifischen Festigkeitsprobleme der Turbomaschinen dargestellt. Diesen Kapiteln ist ein allgemeines Kapitel uber die Grundlagen der Festigkeitsrechnungen vorausgeschickt, das zwar diejenigen Aspekte besonders hervorhebt, die im Turbomaschinenbau vor allem wichtig sind, aber auch fur verwandte Gebiete bedeutsam ist, da eine geraffte Darstellung dieser Art bis heute fehlt. Der Bestimmung der Temperaturverteilung in den massgebenden Konstruktionsteilen (insbes. in der gekuhlten Gasturbine) ist ein weiteres Kapitel gewidmet. Den Abschluss bilden die Ausfuhrungen uber die Schaufelschwingungen und die lauftechnischen Probleme der Rotoren."

Das Werk gibt eine umfassende Darstellung der theoretischen Grundlagen zur Berechnung und Auslegung von Dampfturbinen, Gasturbinen und Turbokompressoren. Der erste Band behandelt die thermodynamische Prozessfuhrung von Dampf- und Gasturbinenanlagen und die thermodynamisch-stroemungstechnische Berechnung der Turbomaschinen selbst. Um zu einem vertieften Verstandnis zu fuhren, wird die Theorie stets aus den Grundwissenschaften heraus entwickelt, weshalb auch ein kurzer Abriss der thermodynamischen und stroemungstechnischen Grundlagen an den Anfang gestellt ist.

Gesamtwerk: In diesem Werk der beiden bedeutenden Aerodynamiker wird das gesamte Gebiet der Flugzeugaerodynamik von den Grundlagen bis zu den Entwicklungen der 60er Jahre des 20. Jahrhunderts in klarer, ingenieursgemasser Form dargestellt. Das Hauptgewicht liegt dabei auf den physikalisch und technisch wichtigen Sachverhalten. Die erlauterten Berechnungsverfahren werden durch zahlreiche Beispielrechnungen und Abbildungen veranschaulicht sowie durch Vergleich mit experimentellen Werten uberpruft. Zweiter Band: Im zweiten Band wird die Theorie des Tragflugels endlicher Spannweite bei inkompressibler Stroemung, die Theorie des Tragflugels bei kompressibler Stroemung, die Aerodynamik des Rumpfes, der Flugel-Rumpf-Anordnung, der Leitwerke sowie der Ruder und Klappen behandelt.

1. 1 Scope of the Study The detailed and reasonably accurate computation of large scale turbulent flows has become increasingly important in geophysical and engi neering applications in recent years. The definition of water quality management policies for reservoirs, lakes, estuaries, and coastal waters, as well as the design of cooling ponds and solar ponds, requires an ade quate quantitative description of turbulent flows. When the diffusion of some tracer (be it active, such as temperature or salinity, or passive, such as dissolved oxygen) is of relevance to a specific application, the proper determination of the effects of turbulent transport processes has paramount importance. Thus, for instance, the proper understanding of lake and reservoir dynamics requires, as a first step, the ability to simulate turbulent flows. Applications in other areas of geophysical research, such as meteorology and oceanography are easily identified and large in number. It should be stressed that, in this context, the analyst seeks predictive ability to a certain extent. Accordingly, the need for simulation models that closely resemble the natural processes to be repre sented has recently become more evident. Since the late 1960s considerable effort has been devoted to the development of models for the simulation of complex turbulent flows. This has resulted in the establishment of two approaches which have been, or 2 have the potential for being, applied to problems of engineering and geophysical interest.

This is the most up-to-date, comprehensive, and practical book on the subject available, explaining the concepts and related practical implementations of all major hot-wire anemometry applications. It introduces the logical framework for a computer-based HWA system and identifies the individual steps in the complete experimental procedure, ranging from probe selection to the presentation of analysed data. This major work will be invaluable as a reference for students, engineers, and researchers engaged in the field.

Gesamtwerk: In diesem Werk der beiden bedeutenden Aerodynamiker wird das gesamte Gebiet der Flugzeugaerodynamik von den Grundlagen bis zu den Entwicklungen der 60er Jahre des 20.Jahrhunderts in klarer, ingenieursgemasser Form dargestellt. Das Hauptgewicht liegt dabei auf den physikalisch und technisch wichtigen Sachverhalten. Die erlauterten Berechnungsverfahren werden durch zahlreiche Beispielrechnungen und Abbildungen veranschaulicht sowie durch Vergleich mit experimentellen Werten uberpruft. Erster Band: Der erste Band behandelt die Grundlagen der Stromungsmechanik einschliesslich der Gasdynamik und der Grenzschichttheorie, und zwar mit besonderer Betonung der Anwendungen in der Flugtechnik. Ausserdem enthalt der erste Band die Profiltheorie, d.h. den ersten Teil der Aerodynamik des Tragflugels."

One cannot overemphasize the importance of studying fluids in motion or at rest for a variety of scientific and engineering endeavors. Fluid mechanics as an art reaches back into antiquity, but its rational formulation is a relatively recent undertaking. Much of the physics of a particular flow situation can be understood by conducting appropriate experiments. Flow visualization techniques offer a useful tool to establish an overall picture of a flow field and to delineate broadly its salient features before embarking on more detailed quantitative measurements. Among the single-point measurements that are particularly difficult are those in separated flows, non-Newtonian fluids, rotating flows, and nuclear aerosols. Pressure, shear stress, vorticity, and heat transfer coefficient are also difficult quantities to measure, particularly for time-dependent flows. These and other special situations are among the topics covered in this volume. Each article emphasizes the development of a particular measuring technique. The topics covered were chosen because of their importance to the field, recent appeal, and potential for future development. The articles are comprehensive and coverage is pedagogical with a bias towards recent developments.

Dynamical systems theory and flow control are two research areas of great current interest. These and other special situations are among the topics covered in this volume. Each article emphasizes the use of experiments to achieve better physical understanding of a particular class of flow problems. The topics covered were chosen because of their importance to the field, recent appeal, and potential for future development. The articles are comprehensive and coverage is pedagogical with a bias towards recent developments.

This is a text/reference illustrating thermal and hydraulic design of heat exchangers. The book shows how to apply the fundamentals of thermodynamics, heat transfer, and fluid dynamics for a systematic analysis of the phenomena in heat exchangers, important to energy effective operation in process plants.

In recent years, the performance of digital computers has been improved by the rapid development of electronics at remarkable speed. In addition, substantial research has been carried out in developing numerical analysis techniques. Nowadays, a variety of problems in the engineering and scientific fields can be solved by using not only super computers but also personal computers. After the first book titled "Boundary Element" was published by Brebbia in 1978, the boundary element method (BEM) has been recognized as a powerful numerical technique which has some advantages over the finite difference method (FDM) and finite element method (FEM). A great amount of research has been carried out on the applications of BEM to various problems. The numerical analysis of fluid mechanics and heat transfer problems plays a key role in analysing some phenomena and it has become recognized as a new research field called "Computational Fluid Dynamics". In partic ular, the analysis of viscous flow including thermal convection phenomena is one of the most important problems in engineering fields. The FDM and FEM have been generally .applied to solve these problems because of non singularities of governing equations.

This textbook presents numerical solution techniques for incompressible turbulent flows that occur in a variety of scientific and engineering settings including aerodynamics of ground-based vehicles and low-speed aircraft, fluid flows in energy systems, atmospheric flows, and biological flows. This book encompasses fluid mechanics, partial differential equations, numerical methods, and turbulence models, and emphasizes the foundation on how the governing partial differential equations for incompressible fluid flow can be solved numerically in an accurate and efficient manner. Extensive discussions on incompressible flow solvers and turbulence modeling are also offered. This text is an ideal instructional resource and reference for students, research scientists, and professional engineers interested in analyzing fluid flows using numerical simulations for fundamental research and industrial applications.

This book offers timely insights into research on numerical and experimental fluid mechanics and aerodynamics, mainly for (but not limited to) aerospace applications. It reports on findings by members of the STAB (German Aerospace Aerodynamics Association) and DGLR (German Society for Aeronautics and Astronautics) and covers both nationally and EC-funded projects. Continuing on the tradition of the previous volumes, the book highlights innovative solutions, promoting translation from fundamental research to industrial applications. It addresses academics and professionals in the field of aeronautics, astronautics, ground transportation, and energy alike.

The GAMM Committee for Efficient Numerical Methods for Par tial Differential Equations (GAMM-FachausschuB "Effiziente numerische Verfahren fUr partielle Differenzialgleichungen") organizes conferences and seminars on subjects concerning the algorithmic treatment of partial differential equation prob lems. The first seminar "Efficient Solution of Elliptic Systems" was followed by a second one held at the University of Kiel from January 17th to January 19th, 1986. The title was "Efficient Numerical Methods in Continuum Mechanics." The equations arising in continuum mechanics have many con nections to those of fluid mechanics, but are usually more complex. Therefore, much attention has to be paid to the ef ficient discretization, postprocessing and extrapolation. The seminar was attended by 66 scientists from 10 countries. Most of the 21 lectures presented at the seminar treated the discretization of equations in continuum mechanics by finite elements, methods for improving the accuracy of these approx imations and the use of boundary elements. Other contribu tions presented efficient methods for investigating bifurca tions which play an essential role in practical applications. These proceedings contain 11 contributions in alphabetical order. The editors and organizers of the seminar would like to thank the land Schleswig-Holstein and the DFG (Deutsche Forschungs gemeinschaft) for their support. Kiel, November 1986 W. Hackbusch K. Witsch v Contents Page K. ERIKSSON, C. JOHNSON, J. LENNBLAD: Optimal error estimates and adaptive time and space step control for linear parabolic problems ....................... ."