Smoothed Point Interpolation Methods
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Smoothed Point Interpolation Methods
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Author : Gui-Rong Liu
language : en
Publisher: World Scientific
Release Date : 2013
Smoothed Point Interpolation Methods written by Gui-Rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This book describes the various Smoothed Point Interpolation Method (S-PIM) models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail.
Smoothed Point Interpolation Methods G Space Theory And Weakened Weak Forms
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Author : Gui-rong Liu
language : en
Publisher: World Scientific
Release Date : 2013-08-16
Smoothed Point Interpolation Methods G Space Theory And Weakened Weak Forms written by Gui-rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-16 with Technology & Engineering categories.
Based on the widely used finite element method (FEM) and the latest Meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations — one of the most important features of the next generation methods. This important book describes the various S-PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail. Numerous examples are provided to demonstrate the efficiency and accuracy of the S-PIM solutions in comparison with the FEM and other existing methods. Effective techniques to compute solution bounds employing both S-PIM and FEM are highlighted to obtain certified solutions with both upper and lower bounds.The book also presents a systematically way to conduct adaptive analysis for solutions of desired accuracy using these bound properties, which is another key feature of the next generation of computational methods. This will benefit researchers, engineers and students who are venturing into new areas of research and computer code development.
Smoothed Finite Element Methods
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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Smoothed Finite Element Methods written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Science categories.
Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve mo
Gradient Smoothing Methods With Programming Applications To Fluids And Landslides
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Author : Gui-rong Liu
language : en
Publisher: World Scientific
Release Date : 2023-12-27
Gradient Smoothing Methods With Programming Applications To Fluids And Landslides written by Gui-rong Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-27 with Technology & Engineering categories.
This unique compendium presents the Gradient Smoothing Methods (GSMs), as a general solver for linear and nonlinear PDEs (Partial Differential Equations) with a focus on fluids and flowing solids.The volume introduces the basic concepts and theories of the gradient smoothing technique used in the GSMs. Formulations for both Eulerian-GSM and Lagrangian-GSM are presented. The key ingredients of GSMs and its effectiveness in solving challenging fluid/solid flow problems with complex geometries are then discussed.Applications of GSM are highlighted, including compressible and incompressible flows, hydrodynamics with flexible free surface, and flowing solids with material strength and large deformation in geotechnical engineering, in particular, landslide simulations.In-house MATLAB codes are provided for both Eulerian and Lagrangian GSMs, along with detailed descriptions. More efficient FORTRAN source codes for solving complex engineering problems are also available on Github.
Meshfree Methods
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Author : G.R. Liu
language : en
Publisher: CRC Press
Release Date : 2009-10-06
Meshfree Methods written by G.R. Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-06 with Mathematics categories.
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking WorkReflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edit
Advances In Underwater Acoustics Structural Acoustics And Computational Methodologies In 4 Volumes
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Author : Sean F Wu
language : en
Publisher: World Scientific
Release Date : 2025-04-29
Advances In Underwater Acoustics Structural Acoustics And Computational Methodologies In 4 Volumes written by Sean F Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-29 with Technology & Engineering categories.
This set of volumes encompasses the study of acoustics to diverse environments ranging from underwater and marine environments, to structural and civil engineering, computational models and aerospace engineering. Each volume comprises peer-reviewed publications in the related field of acoustics from the past decade, arranged such as to review the existing literature, examine new methodologies and then explore novel applications of pioneering acoustic principles. With contributions by eminent acoustics researchers, this set holds key insights for fellow acoustics researchers and engineers of any field impacted by acoustic phenomena.Volume 1's review chapters summarise theories like geoacoustic inversion as well as criticism of the Biot theory of propagation in fluid-saturated porous solids, while the new methodologies shown range from an efficient and stable coupled-mode solution to a cell-based smoothed radial point interpolation method. The book concludes with promising applications like experimental evidence of horizontal refraction and bottom attenuation coefficient inversion.Volume 2 reviews topics including radiation boundary conditions for the Helmholtz equation, and analytical interpretation of the early literature on the theory of vibrations. The methodologies range from coupled boundary element and energy flow method as well as sound radiation of a line source. The work concludes with promising applications like Lamb Waves in a poroelastic plate and experimental validations of reconstructed excitation forces acting inside a solid enclosure.Volume 3 provides summaries of theories including the benchmark study on eigenfrequencies of fluid-loaded structures, and the Burton and Miller method, while the new methodologies presented range from a coupled boundary element and energy flow method, to an efficient approach to the simulation of acoustic radiation. The volume concludes with promising applications like a comparison of transient infinite elements and transient Kirchhoff integral methods, as well as a fast multi-frequency iterative acoustic boundary element method.Volume 4 depicts the context of conventional methodologies including short-wave components and Galbrun's equation, while its new methodologies range from radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances to the effect of airfoil shape on trailing edge noise. The collection concludes with promising applications like helicopter noise predictions and conservative source interpolation methods for aeroacoustics.
Issues In Earth Sciences Geology And Geophysics 2011 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2012-01-09
Issues In Earth Sciences Geology And Geophysics 2011 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-09 with Science categories.
Issues in Earth Sciences, Geology, and Geophysics: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Earth Sciences, Geology, and Geophysics. The editors have built Issues in Earth Sciences, Geology, and Geophysics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Earth Sciences, Geology, and Geophysics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Earth Sciences, Geology, and Geophysics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Smoothed Particle Hydrodynamics A Meshfree Particle Method
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Author : Moubin Liu
language : en
Publisher: World Scientific
Release Date : 2003-10-10
Smoothed Particle Hydrodynamics A Meshfree Particle Method written by Moubin Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-10 with Technology & Engineering categories.
This is the first-ever book on smoothed particle hydrodynamics (SPH) and its variations, covering the theoretical background, numerical techniques, code implementation issues, and many novel and interesting applications.It contains many appealing and practical examples, including free surface flows, high explosive detonation and explosion, underwater explosion and water mitigation of explosive shocks, high velocity impact and penetration, and multiple scale simulations coupled with the molecular dynamics method. An SPH source code is provided, making this a friendly book for readers and SPH users.
Ars S
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Author :
language : en
Publisher:
Release Date : 1976
Ars S written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Agriculture categories.
Ars S
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Author : United States. Agricultural Research Service
language : en
Publisher:
Release Date : 1976
Ars S written by United States. Agricultural Research Service and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Agriculture categories.