Numerical Simulations

Author : Grétar Tryggvason,Ruben Scardovelli,Stéphane Zaleski
Publisher : Cambridge University Press
Page : 337 pages
File Size : 46,8 Mb
Release : 2011-03-10
Category : Computers
ISBN : 9781139496704

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Direct Numerical Simulations of Gas–Liquid Multiphase Flows by Grétar Tryggvason,Ruben Scardovelli,Stéphane Zaleski Pdf

Accurately predicting the behaviour of multiphase flows is a problem of immense industrial and scientific interest. Modern computers can now study the dynamics in great detail and these simulations yield unprecedented insight. This book provides a comprehensive introduction to direct numerical simulations of multiphase flows for researchers and graduate students. After a brief overview of the context and history the authors review the governing equations. A particular emphasis is placed on the 'one-fluid' formulation where a single set of equations is used to describe the entire flow field and interface terms are included as singularity distributions. Several applications are discussed, showing how direct numerical simulations have helped researchers advance both our understanding and our ability to make predictions. The final chapter gives an overview of recent studies of flows with relatively complex physics, such as mass transfer and chemical reactions, solidification and boiling, and includes extensive references to current work.

Author : Lutz Angermann
Publisher : BoD – Books on Demand
Page : 454 pages
File Size : 47,5 Mb
Release : 2010-12-30
Category : Computers
ISBN : 9789533071534

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Numerical Simulations by Lutz Angermann Pdf

This book will interest researchers, scientists, engineers and graduate students in many disciplines, who make use of mathematical modeling and computer simulation. Although it represents only a small sample of the research activity on numerical simulations, the book will certainly serve as a valuable tool for researchers interested in getting involved in this multidisciplinary field. It will be useful to encourage further experimental and theoretical researches in the above mentioned areas of numerical simulation.

Author : Michael Griebel,Stephan Knapek,Gerhard Zumbusch
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 40,8 Mb
Release : 2007-08-16
Category : Science
ISBN : 9783540680956

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Numerical Simulation in Molecular Dynamics by Michael Griebel,Stephan Knapek,Gerhard Zumbusch Pdf

This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.

Author : Francisco Bulnes,Jan Peter Hessling
Publisher : BoD – Books on Demand
Page : 292 pages
File Size : 52,5 Mb
Release : 2021-09-22
Category : Computers
ISBN : 9781839681684

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Recent Advances in Numerical Simulations by Francisco Bulnes,Jan Peter Hessling Pdf

A numerical simulation is a computing calculation following a program that develops a mathematical model for a physical, social, economic, or biological system. Numerical simulations are required for analyzing and studying the behavior of systems whose mathematical models are very complex, as in the case of nonlinear systems. Capturing the resulting uncertainty of models based on uncertain parameters and constraints in confidence intervals (1-D), or more generally (>1-D) confidence regions, is very common for expressing to which degree the computed result is believed to be consistent with possible values of the targeted observable. This book examines the different methods used in numerical simulations, including adaptive and stochastic methods as well as finite element analysis research. This work is accompanied by studies of confidence regions, often utilized to express the credibility of such calculations and simulations.

Author : Bruce L. Kutter
Publisher : Springer Nature
Page : 660 pages
File Size : 47,5 Mb
Release : 2019-01-01
Category : Electronic books
ISBN : 9783030228187

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Model Tests and Numerical Simulations of Liquefaction and Lateral Spreading by Bruce L. Kutter Pdf

This open access book presents work collected through the Liquefaction Experiments and Analysis Projects (LEAP) in 2017. It addresses the repeatability, variability, and sensitivity of lateral spreading observed in twenty-four centrifuge model tests on mildly sloping liquefiable sand. The centrifuge tests were conducted at nine different centrifuge facilities around the world. For the first time, a sufficient number of experiments were conducted to enable assessment of variability of centrifuge test results. The experimental data provided a unique basis for assessing the capabilities of twelve different simulation platforms for numerical simulation of soil liquefaction. The results of the experiments and the numerical simulations are presented and discussed in papers submitted by the project participants. The work presented in this book was followed by LEAP-Asia that included assessment of a generalized scaling law and culminated in a workshop in Osaka, Japan in March 2019. LEAP-2020, ongoing at the time of printing, is addressing the validation of soil-structure interaction analyses of retaining walls involving a liquefiable soil. A workshop is planned at RPI, USA in 2020. .

Author : Srinivasa Rao
Publisher : Unknown
Page : 128 pages
File Size : 48,9 Mb
Release : 2021
Category : Fluid mechanics
ISBN : 1789848369

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Direct Numerical Simulations by Srinivasa Rao Pdf

Author : Heinz Pitsch,Antonio Attili
Publisher : Springer Nature
Page : 294 pages
File Size : 53,8 Mb
Release : 2020-05-28
Category : Mathematics
ISBN : 9783030447182

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Data Analysis for Direct Numerical Simulations of Turbulent Combustion by Heinz Pitsch,Antonio Attili Pdf

This book presents methodologies for analysing large data sets produced by the direct numerical simulation (DNS) of turbulence and combustion. It describes the development of models that can be used to analyse large eddy simulations, and highlights both the most common techniques and newly emerging ones. The chapters, written by internationally respected experts, invite readers to consider DNS of turbulence and combustion from a formal, data-driven standpoint, rather than one led by experience and intuition. This perspective allows readers to recognise the shortcomings of existing models, with the ultimate goal of quantifying and reducing model-based uncertainty. In addition, recent advances in machine learning and statistical inferences offer new insights on the interpretation of DNS data. The book will especially benefit graduate-level students and researchers in mechanical and aerospace engineering, e.g. those with an interest in general fluid mechanics, applied mathematics, and the environmental and atmospheric sciences.

Author : Michael Griebel,Thomas Dornsheifer,Tilman Neunhoeffer
Publisher : SIAM
Page : 222 pages
File Size : 44,7 Mb
Release : 1998-01-01
Category : Mathematics
ISBN : 9780898713985

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Numerical Simulation in Fluid Dynamics by Michael Griebel,Thomas Dornsheifer,Tilman Neunhoeffer Pdf

In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.

Author : Srinivasa Rao
Publisher : BoD – Books on Demand
Page : 406 pages
File Size : 46,6 Mb
Release : 2018-07-11
Category : Computers
ISBN : 9781789234503

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Numerical Simulations in Engineering and Science by Srinivasa Rao Pdf

Computational science is one of the rapidly growing multidisciplinary fields. The high-performance computing capabilities are utilized to solve and understand complex problems. This book offers a detailed exposition of the numerical methods that are used in engineering and science. The chapters are arranged in such a way that the readers will be able to select the topics appropriate to their interest and need. The text features a broad array of applications of computational methods to science and technology. This book would be an interesting supplement for the practicing engineers, scientists, and graduate students.

Author : Sergio R. Idelsohn
Publisher : Springer
Page : 422 pages
File Size : 47,8 Mb
Release : 2014-05-09
Category : Technology & Engineering
ISBN : 9783319061368

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Numerical Simulations of Coupled Problems in Engineering by Sergio R. Idelsohn Pdf

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.

Author : Francisco Chinesta,Roland Keunings,Adrien Leygue
Publisher : Springer Science & Business Media
Page : 127 pages
File Size : 49,5 Mb
Release : 2013-10-08
Category : Technology & Engineering
ISBN : 9783319028651

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The Proper Generalized Decomposition for Advanced Numerical Simulations by Francisco Chinesta,Roland Keunings,Adrien Leygue Pdf

Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of high-dimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multi-dimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extra-coordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab© software used to generate these examples.

Author : Svein Linge,Hans Petter Langtangen
Publisher : Springer
Page : 244 pages
File Size : 45,8 Mb
Release : 2016-07-25
Category : Computers
ISBN : 9783319324289

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Programming for Computations - Python by Svein Linge,Hans Petter Langtangen Pdf

This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.

Author : Xi Jiang,Choi-Hong Lai
Publisher : CRC Press
Page : 276 pages
File Size : 53,8 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 1420075799

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Numerical Techniques for Direct and Large-Eddy Simulations by Xi Jiang,Choi-Hong Lai Pdf

Compared to the traditional modeling of computational fluid dynamics, direct numerical simulation (DNS) and large-eddy simulation (LES) provide a very detailed solution of the flow field by offering enhanced capability in predicting the unsteady features of the flow field. In many cases, DNS can obtain results that are impossible using any other means while LES can be employed as an advanced tool for practical applications. Focusing on the numerical needs arising from the applications of DNS and LES, Numerical Techniques for Direct and Large-Eddy Simulations covers basic techniques for DNS and LES that can be applied to practical problems of flow, turbulence, and combustion. After introducing Navier–Stokes equations and the methodologies of DNS and LES, the book discusses boundary conditions for DNS and LES, along with time integration methods. It then describes the numerical techniques used in the DNS of incompressible and compressible flows. The book also presents LES techniques for simulating incompressible and compressible flows. The final chapter explores current challenges in DNS and LES. Helping readers understand the vast amount of literature in the field, this book explains how to apply relevant numerical techniques for practical computational fluid dynamics simulations and implement these methods in fluid dynamics computer programs.

Author : Lutz Angermann
Publisher : BoD – Books on Demand
Page : 534 pages
File Size : 52,8 Mb
Release : 2011-01-30
Category : Computers
ISBN : 9789533074405

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Numerical Simulations by Lutz Angermann Pdf

This book will interest researchers, scientists, engineers and graduate students in many disciplines, who make use of mathematical modeling and computer simulation. Although it represents only a small sample of the research activity on numerical simulations, the book will certainly serve as a valuable tool for researchers interested in getting involved in this multidisciplinary field. It will be useful to encourage further experimental and theoretical researches in the above mentioned areas of numerical simulation.

Author : Taras Gerya
Publisher : Cambridge University Press
Page : 359 pages
File Size : 51,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9780521887540

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Introduction to Numerical Geodynamic Modelling by Taras Gerya Pdf

This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.