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An Extended Lagrangian Method
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722070076 Total Pages :30 pages Book Rating :4.0/5 (7 download)
Book Synopsis An Extended Lagrangian Method by : National Aeronautics and Space Administration (NASA)
Download or read book An Extended Lagrangian Method written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-30 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique formulation of describing fluid motion is presented. The method, referred to as 'extended Lagrangian method', is interesting from both theoretical and numerical points of view. The formulation offers accuracy in numerical solution by avoiding numerical diffusion resulting from mixing of fluxes in the Eulerian description. Meanwhile, it also avoids the inaccuracy incurred due to geometry and variable interpolations used by the previous Lagrangian methods. Unlike the Lagrangian method previously imposed which is valid only for supersonic flows, the present method is general and capable of treating subsonic flows as well as supersonic flows. The method proposed in this paper is robust and stable. It automatically adapts to flow features without resorting to clustering, thereby maintaining rather uniform grid spacing throughout and large time step. Moreover, the method is shown to resolve multi-dimensional discontinuities with a high level of accuracy, similar to that found in one-dimensional problems. Liou, Meng-Sing Glenn Research Center RTOP 505-62-52...
Book Synopsis Semi-Lagrangian Advection Methods and Their Applications in Geoscience by : Steven J. Fletcher
Download or read book Semi-Lagrangian Advection Methods and Their Applications in Geoscience written by Steven J. Fletcher and published by Elsevier. This book was released on 2019-11-18 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-Lagrangian Advection Methods and Their Applications in Geoscience provides a much-needed resource on semi-Lagrangian theory, methods, and applications. Covering a variety of applications, the book brings together developments of the semi-Lagrangian in one place and offers a comparison of semi-Lagrangian methods with Eulerian-based approaches. It also includes a chapter dedicated to difficulties of dealing with the adjoint of semi-Lagrangian methods and illustrates the behavior of different schemes for different applications. This allows for a better understanding of which schemes are most efficient, stable, consistent, and likely to introduce the minimum model error into a given problem. Beneficial for students learning about numerical approximations to advection, researchers applying these techniques to geoscientific modeling, and practitioners looking for the best approach for modeling, Semi-Lagrangian Advection Methods and Their Applications in Geoscience fills a crucial gap in numerical modeling and data assimilation in geoscience. - Provides a single resource for understanding semi-Lagrangian methods and what is involved in its application - Includes exercises and codes to supplement learning and create opportunities for practice - Includes coverage of adjoints, examining the advantages and disadvantages of different approaches in multiple coordinate systems and different discretizations - Includes links to numerical datasets and animations to further enhance understanding
Book Synopsis Extended Finite Element Method by : Amir R. Khoei
Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples
Book Synopsis Introduction To Classical Mechanics by : John Dirk Walecka
Download or read book Introduction To Classical Mechanics written by John Dirk Walecka and published by World Scientific. This book was released on 2020-02-26 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share.
Book Synopsis New Methods in Computational Quantum Mechanics by : Ilya Prigogine
Download or read book New Methods in Computational Quantum Mechanics written by Ilya Prigogine and published by John Wiley & Sons. This book was released on 2009-09-09 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of quantum chemistry for the quantitative prediction of molecular properties has long been frustrated by the technical difficulty of carrying out the needed computations. In the last decade there have been substantial advances in the formalism and computer hardware needed to carry out accurate calculations of molecular properties efficiently. These advances have been sufficient to make quantum chemical calculations a reliable tool for the quantitative interpretation of chemical phenomena and a guide to laboratory experiments. However, the success of these recent developments in computational quantum chemistry is not well known outside the community of practitioners. In order to make the larger community of chemical physicists aware of the current state of the subject, this self-contained volume of Advances in Chemical Physics surveys a number of the recent accomplishments in computational quantum chemistry. This stand-alone work presents the cutting edge of research in computational quantum mechanics. Supplemented with more than 150 illustrations, it provides evaluations of a broad range of methods, including: * Quantum Monte Carlo methods in chemistry * Monte Carlo methods for real-time path integration * The Redfield equation in condensed-phase quantum dynamics * Path-integral centroid methods in quantum statistical mechanics and dynamics * Multiconfigurational perturbation theory-applications in electronic spectroscopy * Electronic structure calculations for molecules containing transition metals * And more Contributors to New Methods in Computational Quantum Mechanics KERSTIN ANDERSSON, Department of Theoretical Chemistry, Chemical Center, Sweden DAVID M. CEPERLEY, National Center for Supercomputing Applications and Department of Physics, University of Illinois at Urbana-Champaign, Illinois MICHAEL A. COLLINS, Research School of Chemistry, Australian National University, Canberra, Australia REINHOLD EGGER, Fakultät für Physik, Universität Freiburg, Freiburg, Germany ANTHONY K. FELTS, Department of Chemistry, Columbia University, New York RICHARD A. FRIESNER, Department of Chemistry, Columbia University, New York MARKUS P. FÜLSCHER, Department of Theoretical Chemistry, Chemical Center, Sweden K. M. HO, Ames Laboratory and Department of Physics, Iowa State University, Ames, Iowa C. H. MAK, Department of Chemistry, University of Southern California, Los Angeles, California PER-ÅKE Malmqvist, Department of Theoretical Chemistry, Chemical Center, Sweden MANUELA MERCHán, Departamento de Química Física, Universitat de Valéncia, Spain LUBOS MITAS, National Center for Supercomputing Applications and Materials Research Laboratory, University of Illinois at Urbana-Champaign, Illinois STEFANO OSS, Dipartimento di Fisica, Università di Trento and Istituto Nazionale di Fisica della Materia, Unità di Trento, Italy KRISTINE PIERLOOT, Department of Chemistry, University of Leuven, Belgium W. THOMAS POLLARD, Department of Chemistry, Columbia University, New York BJÖRN O. ROOS, Department of Theoretical Chemistry, Chemical Center, Sweden LUIS SERRANO-ANDRÉS, Department of Theoretical Chemistry, Chemical Center, Sweden PER E. M. SIEGBAHN, Department of Physics, University of Stockholm, Stockholm, Sweden WALTER THIEL, Institut für Organische Chemie, Universität Zürich, Zürich, Switzerland GREGORY A. VOTH, Department of Chemistry, University of Pennsylvania, Pennsylvania C. Z. Wang, Ames Laboratory and Department of Physi
Book Synopsis From Waves in Complex Systems to Dynamics of Generalized Continua by : Kolumban Hutter
Download or read book From Waves in Complex Systems to Dynamics of Generalized Continua written by Kolumban Hutter and published by World Scientific. This book was released on 2011 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reviews recent research activities in applied mechanics and applied mathematics such as the fields of solid & fluid constitutive modeling for coupled fields, applications of geophysical & environmental context in judicious numerical-computational implementations. The book aims to merge foundation aspects of continuum mechanics with modern technological applications, notably on reviewing recent advances in the treated subjects in an attractive presentation accessible to a wide readership of engineering and applied sciences.
Book Synopsis Understanding Molecular Simulation by : Daan Frenkel
Download or read book Understanding Molecular Simulation written by Daan Frenkel and published by Elsevier. This book was released on 2023-07-13 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Molecular Simulation explains molecular simulation from a chemical-physics and statistical-mechanics perspective. It highlights how physical concepts are used to develop better algorithms and expand the range of applicability of simulations. Understanding Molecular Simulation is equally relevant for those who develop new code and those who use existing packages. Both groups are continuously confronted with the question of which computational technique best suits a given application. Understanding Molecular Simulation provides readers with the foundational knowledge they need to learn about, select and apply the most appropriate of these tools to their own work. The implementation of simulation methods is illustrated in pseudocodes, and their practical use is shown via case studies presented throughout the text. Since the second edition's publication, the simulation world has expanded significantly: existing techniques have continued to develop, and new ones have emerged, opening up novel application areas. This new edition aims to describe these new developments without becoming exhaustive; examples are included that highlight current uses, and several new examples have been added to illustrate recent applications. Examples, case studies, questions, and downloadable algorithms are also included to support learning. No prior knowledge of computer simulation is assumed. - Fully updated guide to both the current state and latest developments in the field of molecular simulation, including added and expanded information on such topics as molecular dynamics and statistical assessment of simulation results - Gives a rounded overview by showing fundamental background information in practice via new examples in a range of key fields - Provides online access to new data, algorithms and tutorial slides to support and encourage practice and learning
Book Synopsis A Student's Guide to Lagrangians and Hamiltonians by : Patrick Hamill
Download or read book A Student's Guide to Lagrangians and Hamiltonians written by Patrick Hamill and published by Cambridge University Press. This book was released on 2014 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Download or read book NASA Technical Memorandum written by and published by . This book was released on 1994 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Innovations in Biomolecular Modeling and Simulations by : Tamar Schlick
Download or read book Innovations in Biomolecular Modeling and Simulations written by Tamar Schlick and published by Royal Society of Chemistry. This book was released on 2012-05-24 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chemical and biological sciences face unprecedented opportunities in the 21st century. A confluence of factors from parallel universes - advances in experimental techniques in biomolecular structure determination, progress in theoretical modeling and simulation for large biological systems, and breakthroughs in computer technology - has opened new avenues of opportunity as never before. Now, experimental data can be interpreted and further analysed by modeling, and predictions from any approach can be tested and advanced through companion methodologies and technologies. This two volume set describes innovations in biomolecular modeling and simulation, in both the algorithmic and application fronts. With contributions from experts in the field, the books describe progress and innovation in areas including: simulation algorithms for dynamics and enhanced configurational sampling, force field development, implicit solvation models, coarse-grained models, quantum-mechanical simulations, protein folding, DNA polymerase mechanisms, nucleic acid complexes and simulations, RNA structure analysis and design and other important topics in structural biology modeling. The books are aimed at graduate students and experts in structural biology and chemistry and the emphasis is on reporting innovative new approaches rather than providing comprehensive reviews on each subject.
Book Synopsis Advances in Quantum Chemistry by : John R. Sabin
Download or read book Advances in Quantum Chemistry written by John R. Sabin and published by Academic Press. This book was released on 2011-09-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approx.500 pagesApprox.500 pages
Book Synopsis Computational Biochemistry and Biophysics by : Oren M. Becker
Download or read book Computational Biochemistry and Biophysics written by Oren M. Becker and published by CRC Press. This book was released on 2001-02-09 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering theoretical methods and computational techniques in biomolecular research, this book focuses on approaches for the treatment of macromolecules, including proteins, nucleic acids, and bilayer membranes. It uses concepts in free energy calculations, conformational analysis, reaction rates, and transition pathways to calculate and interpret b
Book Synopsis Reviews in Computational Chemistry, Volume 18 by : Kenny B. Lipkowitz
Download or read book Reviews in Computational Chemistry, Volume 18 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2003-04-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seit vielen Jahren praxisbewährt! Auch dieser 18. Band der Reihe Reviews in Computational Chemistry gibt Studenten und Forschern einen Einblick in Rechenverfahren, die sie anwenden wollen, ohne daß die theoretischen Grundlagen zu ihrem Arbeitsgebiet gehören. Das methodische Spektrum umfaßt Molecular Modeling, Quantenchemie, CAMD, QSAR, Molekülmechanik und -dynamik. Mit einem Autoren- und einem Stichwortverzeichnis sowie einer ausführlichen Softwareliste, die Hunderte von Programmen, Dienstleistungen und Anbietern umfaßt.
Book Synopsis Non-centralized Optimization-Based Control Schemes for Large-Scale Energy Systems by : W. Wicak Ananduta
Download or read book Non-centralized Optimization-Based Control Schemes for Large-Scale Energy Systems written by W. Wicak Ananduta and published by Springer Nature. This book was released on 2021-12-11 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the development of innovative non-centralized optimization-based control schemes to solve economic dispatch problems of large-scale energy systems. Particularly, it focuses on communication and cooperation processes of local controllers, which are integral parts of such schemes. The economic dispatch problem, which is formulated as a convex optimization problem with edge‐based coupling constraints, is solved by using methodologies in distributed optimization over time-varying networks, together with distributed model predictive control, and system partitioning techniques. At first, the book describes two distributed optimization methods, which are iterative and require the local controllers to exchange information with each other at each iteration. In turn, it shows that the sequence produced by these methods converges to an optimal solution when some conditions, which include how the controllers must communicate and cooperate, are satisfied. Further, it proposes an information exchange protocol to cope with possible communication link failures. Finally, the proposed distributed optimization methods are extended to the cases with random communication networks and asynchronous updates. Overall, this book presents a set of improved predictive control and distributed optimization methods, together with a rigorous mathematical analysis of each proposed algorithms. It describes a comprehensive approach to cope with communication and cooperation issues of non-centralized control schemes and show how the improved schemes can be successfully applied to solve the economic dispatch problems of large-scale energy systems.
Book Synopsis Analytical Mechanics for Relativity and Quantum Mechanics by : Oliver Johns
Download or read book Analytical Mechanics for Relativity and Quantum Mechanics written by Oliver Johns and published by Oxford University Press. This book was released on 2005-07-07 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Current Problems of Mathematics by : Anatoliĭ Alekseevich Logunov
Download or read book Current Problems of Mathematics written by Anatoliĭ Alekseevich Logunov and published by American Mathematical Soc.. This book was released on 1986 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
