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A Numerical Primer for the Chemical Engineer, Second Edition

by Edwin Zondervan

Designed as an introduction to numerical methods for students, this book combines mathematical correctness with numerical performance, and concentrates on numerical methods and problem solving. It applies actual numerical solution strategies to formulated process models to help identify and solve chemical engineering problems. Second edition comes with additional chapter on numerical integration and section on boundary value problems in the relevant chapter. Additional material on general modelling principles, mass/energy balances and separate section on DAE’s is also included. Case study section has been extended with additional examples.

Numerical Ship Hydrodynamics: An Assessment of the Tokyo 2015 Workshop (Lecture Notes in Applied and Computational Mechanics #94)

by Takanori Hino Frederick Stern Lars Larsson Michel Visonneau Nobuyuki Hirata Jin Kim

This book explores computational fluid dynamics applied to ship hydrodynamics and provides guidelines for the future developments in the field based on the Tokyo 2015 Workshop. It presents ship hull test cases, experimental data and submitted computational methods, conditions, grids and results. Analysis is made of errors for global (resistance, sinkage, trim and self-propulsion) and local flow (wave elevations, mean velocities and turbulence) variables, including standard deviations for global variables. The effects of grid size and turbulence models are evaluated for both global and local flow variables. Detailed analysis is made of turbulence modeling capabilities for capturing local flow physics. Errors and standard deviations are also assessed for added resistance (captive test cases) and course keeping/speed loss (free running test cases) in head and oblique waves. All submissions are used to evaluate the error and uncertainty by means of a systematic verification and validation (V&V) study along with statistical investigations.

Numerical Simulation-based Design: Theory and Methods

by Xu Han Jie Liu

This book focuses on numerical simulation-based design theory and methods inmechanical engineering. The simulation-based design of mechanical equipmentinvolves considerable scientific challenges including extremely complex systems,extreme working conditions, multi-source uncertainties, multi-physics coupling, andlarge-scale computation. In order to overcome these technical difficulties, this booksystematically elaborates upon the advanced design methods, covering high-fidelitysimulation modeling, rapid structural analysis, multi-objective design optimization,uncertainty analysis and optimization, which can effectively improve the designaccuracy, efficiency, multi-functionality and reliability of complicated mechanicalstructures.This book is primarily intended for researchers, engineers and postgraduate studentsin mechanical engineering, especially in mechanical design, numerical simulation andengineering optimization.

Numerical Simulation for Next Generation Thermal Power Plants (Springer Tracts in Mechanical Engineering)

by Falah Alobaid

The book provides highly specialized researchers and practitioners with a major contribution to mathematical models’ developments for energy systems. First, dynamic process simulation models based on mixture flow and two-fluid models are developed for combined-cycle power plants, pulverised coal-fired power plants, concentrated solar power plant and municipal waste incineration. Operation data, obtained from different power stations, are used to investigate the capability of dynamic models to predict the behaviour of real processes and to analyse the influence of modeling assumptions on simulation results. Then, a computational fluid dynamics (CFD) simulation programme, so-called DEMEST, is developed. Here, the fluid-solid, particle-particle and particle-wall interactions are modeled by tracking all individual particles. To this purpose, the deterministic Euler-Lagrange/Discrete Element Method (DEM) is applied and further improved. An emphasis is given to the determination of inter-phase values, such as volumetric void fraction, momentum and heat transfers, using a new procedure known as the offset-method and to the particle-grid method allowing the refinement of the grid resolution independently from particle size. Model validation is described in detail. Moreover, thermochemical reaction models for solid fuel combustion are developed based on quasi-single-phase, two-fluid and Euler-Lagrange/MP-PIC models. Measurements obtained from actual power plants are used for validation and comparison of the developed numerical models.

Numerical Simulation in Hydraulic Fracturing: Multiphysics Theory and Applications (Multiphysics Modeling #1)

by Xinpu Shen William Standifird

The expansion of unconventional petroleum resources in the recent decade and the rapid development of computational technology have provided the opportunity to develop and apply 3D numerical modeling technology to simulate the hydraulic fracturing of shale and tight sand formations. This book presents 3D numerical modeling technologies for hydraulic fracturing developed in recent years, and introduces solutions to various 3D geomechanical problems related to hydraulic fracturing. In the solution processes of the case studies included in the book, fully coupled multi-physics modeling has been adopted, along with innovative computational techniques, such as submodeling. In practice, hydraulic fracturing is an essential project component in shale gas/oil development and tight sand oil, and provides an essential measure in the process of drilling cuttings reinjection (CRI). It is also an essential measure for widened mud weight window (MWW) when drilling through naturally fractured formations; the process of hydraulic plugging is a typical application of hydraulic fracturing. 3D modeling and numerical analysis of hydraulic fracturing is essential for the successful development of tight oil/gas formations: it provides accurate solutions for optimized stage intervals in a multistage fracking job. It also provides optimized well-spacing for the design of zipper-frac wells.Numerical estimation of casing integrity under stimulation injection in the hydraulic fracturing process is one of major concerns in the successful development of unconventional resources. This topic is also investigated numerically in this book. Numerical solutions to several other typical geomechanics problems related to hydraulic fracturing, such as fluid migration caused by fault reactivation and seismic activities, are also presented. This book can be used as a reference textbook to petroleum, geotechnical and geothermal engineers, to senior undergraduate, graduate and postgraduate students, and to geologists, hydrogeologists, geophysicists and applied mathematicians working in this field. This book is also a synthetic compendium of both the fundamentals and some of the most advanced aspects of hydraulic fracturing technology.

Numerical Simulation in Physics and Engineering: Lecture Notes of the XVIII ‘Jacques-Louis Lions’ Spanish-French School (SEMA SIMAI Springer Series #24)

by David Greiner María Isabel Asensio Rafael Montenegro

This book results from the XVIII Spanish-French School 'Jacques Louis Lions' on Numerical Simulation in Physics and Engineering, that took place in Las Palmas de Gran Canaria from 25th to 29th June 2018. These conferences are held biennially since 1984 and sponsored by the Spanish Society of Applied Mathematics (SEMA). They also have the sponsorship of the Société de Mathématiques Appliquées et Industrielles (SMAI) of France since 2008. Each edition is organized around several main courses and talks delivered by renowned French/Spanish scientists. This volume is highly recommended to graduate students in Engineering or Science who want to focus on numerical simulation, either as a research topic or in the field of industrial applications. It can also benefit senior researchers and technicians working in industry who are interested in the use of state-of-the-art numerical techniques. Moreover, the book can be used as a textbook for master courses in Mathematics, Physics, or Engineering.

Numerical Simulation of Distributed Parameter Processes

by Mihail-Ioan Abrudean Vlad Muresan Tiberiu Colosi Mihaela-Ligia Unguresan

The present monograph defines, interprets and uses the matrix of partial derivatives of the state vector with applications for the study of some common categories of engineering. The book covers broad categories of processes that are formed by systems of partial derivative equations (PDEs), including systems of ordinary differential equations (ODEs). The work includes numerous applications specific to Systems Theory based on Mpdx, such as parallel, serial as well as feed-back connections for the processes defined by PDEs. For similar, more complex processes based on Mpdx with PDEs and ODEs as components, we have developed control schemes with PID effects for the propagation phenomena, in continuous media (spaces) or discontinuous ones (chemistry, power system, thermo-energetic) or in electro-mechanics (railway - traction) and so on. The monograph has a purely engineering focus and is intended for a target audience working in extremely diverse fields of application (propagation phenomena, diffusion, hydrodynamics, electromechanics) in which the use of PDEs and ODEs is justified.

Numerical Simulation of Effluent Discharges: Applications with OpenFOAM (IAHR Books)

by Abdolmajid Mohammadian Hossein Kheirkhah Gildeh Xiaohui Yan

Numerical Simulation of Effluent Discharges: Applications with OpenFOAM provides a resource for understanding the effluent discharge mechanisms and the approaches for modeling them. It bridges the gap between academia and industry with a focused approach in CFD modeling and providing practical examples and applications. With a detailed discussion on performing numerical modeling of effluent discharges in various ambient waters and with different discharge configurations, the book covers the application of OpenFOAM in effluent discharge modeling. Features: Discusses effluent discharges into various ambient waters with different discharge configurations. Focuses on numerical modeling of effluent discharges. Covers the fundamentals in predicting the mixing characteristics of effluents resulting from desalination plants. Reviews the past CFD studies on the effluent discharge modeling thoroughly. Provides guidance to researchers and engineers on the future steps in modeling of effluent discharges. Includes an introduction to OpenFOAM and its application in effluent discharge modeling. The book will benefit both academics and professional engineers practicing in the area of environmental fluid mechanics and working on the effluent discharge modeling.

Numerical Simulation of Heat Exchangers: Advances in Numerical Heat Transfer Volume V (Computational and Physical Processes in Mechanics and Thermal Sciences)

by W. J. Minkowycz; E. M. Sparrow; J. P. Abraham; J. M. Gorman

This book deals with certain aspects of material science, particularly with the release of thermal energy associated with bond breaking. It clearly establishes the connection between heat transfer rates and product quality. The editors then sharply draw the thermal distinctions between the various categories of welding processes, and demonstrate how these distinctions are translated into simulation model uniqueness. The book discusses the incorporation of radiative heat transfer processes into the simulation model.

Numerical Simulation of Mechanical Behavior of Composite Materials

by Sergio Oller

An original mechanical formulation to treat nonlinear orthotropic behavior of composite materials is presented in this book. It also examines different formulations that allow us to evaluate the behavior of composite materials through the composition of its components, obtaining a new composite material. Also two multiple scale homogenization methods are given, one based on the analytical study of the cells (Ad-hoc homogenization) and other one, more general based on the finite element procedure applied on the macro scale (upper-scale) and in the micro scale (sub-scale). A very general formulation to simulate the mechanical behavior for traditional composite structures (plywood, reinforced concrete, masonry, etc. ), as well as the new composite materials reinforced with long and short fibers, nanotubes, etc. , are also shown in this work. Typical phenomena occurring in composite materials are also described in this work, including fiber-matrix debonding, local buckling of fibers and its coupling with the overall buckling of the structure. Finally, several numerical examples that evaluates the qualities and capabilities of the general model formulated are offered in this book. This book is intended for graduate engineering students who want to expand their knowledge of composite structures behavior.

Numerical Simulation of Mechatronic Sensors and Actuators

by Manfred Kaltenbacher

Like the previous editions also the third edition of this book combines the detailed physical modeling of mechatronic systems and their precise numerical simulation using the Finite Element (FE) method. Thereby, the basic chapter concerning the Finite Element (FE) method is enhanced, provides now also a description of higher order finite elements (both for nodal and edge finite elements) and a detailed discussion of non-conforming mesh techniques. The author enhances and improves many discussions on principles and methods. In particular, more emphasis is put on the description of single fields by adding the flow field. Corresponding to these field, the book is augmented with the new chapter about coupled flow-structural mechanical systems. Thereby, the discussion of computational aeroacoustics is extended towards perturbation approaches, which allows a decomposition of flow and acoustic quantities within the flow region. Last but not least, applications are updated and restructured so that the book meets modern demands.

Numerical Simulation of Power Plants and Firing Systems

by Heimo Walter Bernd Epple

The book comprises the fundamentals of the numerical simulation of fluid flows as well as the modelling of a power plant and plant components. The fundamental equations for heat and mass transfer will be prepared for the application in the numerical simulation. Selected numerical methods will be discussed in detail. The book will deal with the gas as well as with the water/steam flow. Regulation and controller, simplified models and hybrid models as well as the validation of measurement data are also included in the book.

Numerical Simulation of the Aerodynamics of High-Lift Configurations

by Omar Darío López Mejia Jaime A. Escobar Gomez

This book deals with numerical simulations and computations of the turbulent flow around high-lift configurations commonly used in aircraft. It is devoted to the Computational Fluids Dynamics (CFD) method using full Navier-Stokes solvers typically used in the simulation of high-lift configuration. With the increase of computational resources in the aeronautical industry, the computation of complex flows such as the aerodynamics of high-lift configurations has become an active field not only in academic but also in industrial environments. The scope of the book includes applications and topics of interest related to the simulation of high-lift configurations such as: lift and drag prediction, unsteady aerodynamics, low Reynolds effects, high performance computing, turbulence modelling, flow feature visualization, among others. This book gives a description of the state-of-the-art of computational models for simulation of high-lift configurations. It also shows and discusses numerical results and validation of these computational models. Finally, this book is a good reference for graduate students and researchers interested in the field of simulation of high-lift configurations.

Numerical Simulation of Water Waves (Springer Tracts in Civil Engineering)

by Jianhua Tao

This book discusses the numerical simulation of water waves, which combines mathematical theories and modern techniques of numerical simulation to solve the problems associated with waves in coastal, ocean, and environmental engineering. Bridging the gap between practical mathematics and engineering, the book describes wave mechanics, establishment of mathematical wave models, modern numerical simulation techniques, and applications of numerical models in engineering. It also explores environmental issues related to water waves in coastal regions, such as pollutant and sediment transport, and introduces numerical wave flumes and wave basins. The material is self-contained, with numerous illustrations and tables, and most of the mathematical and engineering concepts are presented or derived in the text. The book is intended for researchers, graduate students and engineers in the fields of hydraulic, coastal, ocean and environmental engineering with a background in fluid mechanics and numerical simulation methods.

Numerical Simulations of Coupled Problems in Engineering

by Sergio R. Idelsohn

This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering. It takes a step forward in the formulation and solution of real-life problems with a multidisciplinary vision, accounting for all of the complex couplings involved in the physical description. Simulation of multifaceted physics problems is a common task in applied research and industry. Often a suitable solver is built by connecting together several single-aspect solvers into a network. In this book, research in various fields was selected for consideration: adaptive methodology for multi-physics solvers, multi-physics phenomena and coupled-field solutions, leading to computationally intensive structural analysis. The strategies which are used to keep these problems computationally affordable are of special interest, and make this an essential book.

Numerical Solutions for Nanocomposite Structures

by Maryam Shokravi Amin Shagholani Loor

Numerical Solutions for Nanocomposite Structures provides an in-depth exploration of structural analysis using numerical methods grounded in rigorous mathematical modeling. Theoretical foundations are established by comprehensively elucidating theories governing beams, plates, and shells, leading to the derivation of governing equations based on the stress–strain relationship. The process of obtaining governing equations through the energy method, application of boundary conditions, and the utilization of numerical methods to calculate deflection, frequency, and buckling loads is meticulously explained, providing readers with valuable insights into structural analysis methodologies. Includes diverse numerical examples involving beams, plates, and pipes, providing a comprehensive understanding of underlying theories and relationships. Provides numerous practical examples demonstrating the application of numerical methods to address challenges in civil and mechanical engineering problems. Discusses the unique mechanical, thermal, and electrical properties of nanocomposites, and how they can be utilized in various industries.

Numerical Solutions of Realistic Nonlinear Phenomena (Nonlinear Systems and Complexity #31)

by Dumitru Baleanu J. A. Tenreiro Machado Necati Özdemir

This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.

Numerical Techniques

by P. Spilling

This volume includes the proceedings of the Seventh Seminar in a Series Sponsored and Organised by the Materials Science, Materials Engineering and Continuing Education Committees of the Institute of Metals held in London on 6 December 1989. This seventh and last volume in the series attempts to review some of the many areas in which numerical methods can be applied as basic tools for the solution of metallurgical problems and to provide a grounding in the principles involved.

Numerical Techniques in Electromagnetics with MATLAB (Third Edition)

by Matthew N.O. Sadiku

<p>Despite the dramatic growth in the availability of powerful computer resources, the EM community lacks a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagnetics filled that gap and became the reference of choice for thousands of engineers, researchers, and students. <p>This third edition of the bestselling text reflects the continuing increase in awareness and use of numerical techniques and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite-difference time-domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. The author also has added a chapter on the method of lines. <p>Numerical Techniques in Electromagnetics with MATLAB®, Third Edition continues to teach readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism. Now the Third Edition goes even further toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems and includes MATLAB code instead of FORTRAN.</p>

A Numerical Tool for the Analysis of Bioinspired Aquatic Locomotion (SpringerBriefs in Applied Sciences and Technology)

by Giovanni Bianchi

This book presents a novel method for the numerical simulation of swimming animals. It includes a review of the hydrodynamics of swimming, a description of the CFD model adopted, and a description of the results obtained by applying this model to the cownose ray. This method is developed for the open-source software OpenFOAM and relies on an overset mesh. A custom library is added to the solver to include the equations of the kinematics of the animal under investigation, combining the deformation of the fish fins with the computed displacement and rotation of the animal's body. The presented method helps investigate the dynamics of any animal moving in a fluid, provided that its kinematics is known, and in this work, it is applied to investigate the hydrodynamics of a cownose ray. This book is intended for researchers and engineers who aim to deeply understand the hydrodynamics of fish swimming and to design bioinspired autonomous underwater vehicles or novel propulsion systems.

Numerik für Ingenieure, Physiker und Informatiker

by Günter Bärwolff

Dieses Lehrbuch wendet sich hauptsächlich an Studierende der Ingenieur- und Naturwissenschaften sowie der Informatik, aber auch an in der angewandten Praxis tätige Absolventen dieser Disziplinen. Es wird ein weites Spektrum von verschiedenen Themenfeldern behandelt, von der numerischen Lösung linearer Gleichungssysteme über Eigenwertprobleme, numerische Integration bis hin zu gewöhnlichen und partiellen Differentialgleichungen. Dabei werden jeweils die Methoden diskutiert, die den spezifischen Anforderungen typischer Aufgabenstellungen in der Praxis entsprechen. Der Autor stellt die Themen in einer Weise dar, die sowohl den wesentlichen mathematischen Hintergrund klarmacht, als auch eine unkomplizierte Umsetzung auf praktische Aufgabenstellungen bzw. die Realisierung auf dem Computer ermöglicht. Vorausgesetzt werden beim Leser lediglich Grundkenntnisse in der Höheren Mathematik, wie sie im Grundstudium für die genannten Fachrichtungen vermittelt werden, wobei einige wichtige Aussagen aus Analysis und linearer Algebra wiederholt werden. Zu den behandelten Methoden werden octave-Programme angegeben und zum Download angeboten, so dass der Leser in die Lage versetzt wird, konkrete Aufgabenstellungen zu bearbeiten. Mehr als 60 Übungsaufgaben mit Lösungen im Internet erleichtern die Aneignung des Lernstoffes.Die vorliegende 3. Auflage ist vollständig durchgesehen und um ein Kapitel zur numerischen Lösung stochastischer Differentialgleichungen ergänzt.

Numerische Auslegung von Wälzlagern

by Hung Nguyen-Schäfer

Dieses Buch beschreibt die numerische Auslegung von Wälzlagern in verständlicher Weise. Dabei werden unterschiedliche interdisziplinäre Arbeitsfelder behandelt, wie z.B. die Hertzsche Kontakttheorie, die Elastohydrodynamik (EHD) für sehr dünne Schmierfilmdicken, Wälzlagerkinematik, Tribologie der Oberflächenstrukturen, Materialermüdung oder die Lebensdauer der Wälzlager und Schmierfette (-öle) anhand der Weibull-Verteilung. Weitere Themen sind Lagerversagensmechanismen, das Rotorauswuchten und induzierte Lärmverminderung (NVH Noise, Vibration, Harshness) in Wälzlagern. Darüber hinaus findet der Leser viele wichtige Formeln nach DIN/ISO-Normen, die für die numerische Auslegung von Wälzlagern sehr hilfreich sind. Das Buch fördert das Verständnis der Wechselwirkungen zwischen den genannten Themen und ermöglicht so eine effizientere Auslegung von Wälzlagern für die Automobilentwicklung und andere Industriezweige.

Numerische Methoden der Technischen Akustik (Fachwissen Technische Akustik)

by Michael Möser Gerhard Müller

Dieser Band der Reihe Fachwissen Technische Akustik behandelt die am weitesten verbreiteten, wellentheoretischen Verfahren der numerischen Akustik. Die Randelementemethode, die Finite-Elemente-Methode und die Ersatzstrahlermethode werden in den Kapiteln ausführlich behandelt. Weitere Methoden wie z. B. Approximationen für hohe Frequenzen, Verfahren der geometrischen Akustik oder die statistische Energieanalyse werden ebenfalls kurz angesprochen.

Numerische Methoden für Ingenieure: mit Anwendungsbeispielen in Python

by Bilen Emek Abali Celal Çakıroğlu

Technische Systeme werden von Ingenieur*innen modelliert und durch numerische Methoden simuliert. Dieses Lehrbuch bietet eine unkomplizierte Einführung in numerische Methoden, mit zahlreichen, praxisrelevanten Beispielen, die mithilfe der Programmiersprache Python gelöst werden. In ingenieurwissenschaftlichen Studienrichtungen sowie in allen Forschungsprojekten sind numerische Simulationen unumgänglich, geeignete Methoden aber oft schwierig zu begreifen. Hier erklären Ingenieure die mathematischen Grundlagen der numerischen Methoden in sachlicher, dennoch simpler Sprache, mit konkreten Anwendungsbeispielen auf Papier und am Bildschirm. Die Besonderheit in diesem Buch ist, dass nicht nur Modelle der physikalischen Systeme berechnet und experimentelle Daten bearbeitet werden, sondern der Code in Python Zeile für Zeile angegeben und erklärt wird. Über die Autoren: B. E. Abali arbeitet als Dozent an der Technischen Universität Berlin sowie der Türkisch-Deutschen Universität in Istanbul, und hat an der Technischen Universität München, University of California Berkeley in den USA und Ghent University in Belgien geforscht. C. Çakıroğlu ist Dozent an der Türkisch-Deutschen Universität in Istanbul und hat an der Technischen Universität Braunschweig, dem DLR (Deutsches Zentrum für Luft- und Raumfahrt) und der University of Alberta in Kanada geforscht.

Numerische Strömungsberechnung: Schneller Einstieg in ANSYS CFX 18 durch einfache Beispiele

by Stefan Lecheler

Dieses Lehr- und Übungsbuch richtet sich an zukünftige Anwender von Berechnungssoftware zur Strömungsmechanik. Neben den verständlich dargestellten Grundlagen liegt der Schwerpunkt auf ausführlich behandelten technischen Beispielen mit ergänzenden praktischen Hinweisen. Verständnisfragen inklusive Antworten geben dem Einsteiger Sicherheit für grundlegende Zusammenhänge. Die 4. Auflage wurde an die neueste Programmversion ANSYS 18.1 angepasst

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