Space Time Conservation Element And Solution Element Method
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Space Time Conservation Element And Solution Element Method
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Author : Chih-Yung Wen
language : en
Publisher: Springer Nature
Release Date : 2023-05-10
Space Time Conservation Element And Solution Element Method written by Chih-Yung Wen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-10 with Computers categories.
This open access book introduces the fundamentals of the space–time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.
The Space Time Conservation Element And Solution Element Method
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher:
Release Date : 2018-11-14
The Space Time Conservation Element And Solution Element Method written by National Aeronautics and Space Adm Nasa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with categories.
A new high resolution and genuinely multidimensional numerical method for solving conservation laws is being, developed. It was designed to avoid the limitations of the traditional methods. and was built from round zero with extensive physics considerations. Nevertheless, its foundation is mathmatically simple enough that one can build from it a coherent, robust. efficient and accurate numerical framework. Two basic beliefs that set the new method apart from the established methods are at the core of its development. The first belief is that, in order to capture physics more efficiently and realistically, the modeling, focus should be placed on the original integral form of the physical conservation laws, rather than the differential form. The latter form follows from the integral form under the additional assumption that the physical solution is smooth, an assumption that is difficult to realize numerically in a region of rapid chance. such as a boundary layer or a shock. The second belief is that, with proper modeling of the integral and differential forms themselves, the resulting, numerical solution should automatically be consistent with the properties derived front the integral and differential forms, e.g., the jump conditions across a shock and the properties of characteristics. Therefore a much simpler and more robust method can be developed by not using the above derived properties explicitly. Chang, Sin-Chung and Wang, Xiao-Yen and Chow, Chuen-Yen Glenn Research Center SPACE-TIME FUNCTIONS; CONSERVATION; SHOCK WAVES; RELATIVITY; HIGH RESOLUTION; CONSERVATION LAWS; BOUNDARY LAYERS; FLUX DENSITY...
New Developments In The Method Of Space Time Conservation Element And Solution Element Applications To The Euler And Navier Stokes Equations
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Author : Sin-Chung Chang
language : en
Publisher:
Release Date : 1993
New Developments In The Method Of Space Time Conservation Element And Solution Element Applications To The Euler And Navier Stokes Equations written by Sin-Chung Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
The Space Time Conservation Element And Solution Element Method A New High Resolution And Genuinely Multidimensional Paradigm For Solving Conservation Laws 2 Numerical Simulation Of Shock Waves And Contact Discontinuities
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-17
The Space Time Conservation Element And Solution Element Method A New High Resolution And Genuinely Multidimensional Paradigm For Solving Conservation Laws 2 Numerical Simulation Of Shock Waves And Contact Discontinuities written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with categories.
Without resorting to special treatment for each individual test case, the 1D and 2D CE/SE shock-capturing schemes described previously (in Part I) are used to simulate flows involving phenomena such as shock waves, contact discontinuities, expansion waves and their interactions. Five 1D and six 2D problems are considered to examine the capability and robustness of these schemes. Despite their simple logical structures and low computational cost (for the 2D CE/SE shock-capturing scheme, the CPU time is about 2 micro-secs per mesh point per marching step on a Cray C90 machine), the numerical results, when compared with experimental data, exact solutions or numerical solutions by other methods, indicate that these schemes can accurately resolve shock and contact discontinuities consistently. Wang, Xiao-Yen and Chow, Chuen-Yen and Chang, Sin-Chung Glenn Research Center...
Application Of The Space Time Conservation Element And Solution Element Method To One Dimensional Advection Diffusion Problems
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-09-25
Application Of The Space Time Conservation Element And Solution Element Method To One Dimensional Advection Diffusion Problems written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-25 with Science categories.
Test problems are used to examine the performance of several one-dimensional numerical schemes based on the space-time conservation and solution element (CE/SE) method. Investigated in this paper are the CE/SE schemes constructed previously for solving the linear unsteady advection-diffusion equation and the schemes derived here for solving the nonlinear viscous and inviscid Burgers equations. In comparison with the numerical solutions obtained using several traditional finite-difference schemes with similar accuracy, the CE/SE solutions display much lower numerical dissipation and dispersion errors. Wang, Xiao-Yen and Chow, Chuen-Yen and Chang, Sin-Chung Glenn Research Center NASA/TM-1999-209068, NAS 1.15:209068, E-11624
A New Numerical Framework For Solving Conservation Laws The Method Of Space Time Conservation Element And Solution Element
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Author : Sin-Chung Chang
language : en
Publisher:
Release Date : 1991
A New Numerical Framework For Solving Conservation Laws The Method Of Space Time Conservation Element And Solution Element written by Sin-Chung Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Conservation laws (Mathematics) categories.
A New Numerical Framework For Solving Conservation Laws
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-17
A New Numerical Framework For Solving Conservation Laws written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with categories.
A new numerical framework for solving conservation laws is being developed. It employs: (1) a nontraditional formulation of the conservation laws in which space and time are treated on the same footing, and (2) a nontraditional use of discrete variables such as numerical marching can be carried out by using a set of relations that represents both local and global flux conservation. Chang, Sin-Chung and To, Wai-Ming Glenn Research Center COMPUTATIONAL GRIDS; CONSERVATION LAWS; SPACE-TIME FUNCTIONS; ERROR ANALYSIS; FOURIER ANALYSIS; NUMERICAL ANALYSIS...
Mathematical Studies In Nonlinear Wave Propagation
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Author : Dominic P. Clemence
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Mathematical Studies In Nonlinear Wave Propagation written by Dominic P. Clemence and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Lively discussions and stimulating research were part of a five-day conference on Mathematical Methods in Nonlinear Wave Propagation sponsored by the NSF and CBMS. This volume is a collection of lectures and papers stemming from that event. Leading experts present dynamical systems and chaos, scattering and spectral theory, nonlinear wave equations, optimal control, optical waveguide design, and numerical simulation. The book is suitable for a diverse audience of mathematical specialists interested in fiber optic communications and other nonlinear phenomena. It is also suitable for engineers and other scientists interested in the mathematics of nonlinear wave propagation.
The Space Time Conservation Element And Solution Element Method A New High Resolution And Genuinely Multidimensional Paradigm For Solving Conservation Laws
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Author :
language : en
Publisher:
Release Date : 1998
The Space Time Conservation Element And Solution Element Method A New High Resolution And Genuinely Multidimensional Paradigm For Solving Conservation Laws written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Computational Fluid Dynamics 2002
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Author : Steve Armfield
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Fluid Dynamics 2002 written by Steve Armfield and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
We are pleased to present the Proceedings of the Second International Conference on Computational Fluid Dynamics held at the University of Sydney, Australia, from July 15 to 19, 2002. The conference was a productive meeting of scientists, mathematicians and engineers involved in the computation of fluid flow. Keynote lectures were presented in the areas of optimisation, algorithms, turbulence and bio-fluid mechanics. Two hundred and fifty abstracts from many countries were received for con sideration. The executive committee, consisting of A. Lerat, M. Napolitano, J.J. Chattot, N. Satofuka and myself, were responsible for the selection of papers. Each of the members had a separate subcommittee to carry out the evaluation. One hundred and seventy papers were selected of which one hundred and fifty two were presented at the conference. All papers that appear in the proceedings have been peer reviewed by a panel of experts (with a minimum of two for every paper) before publication. The conference was attended by 160 delegates with a minimum of late with drawals. The informal and friendly atmosphere provided by the university sur roundings was highly appreciated, and the technical aspects of the conference were stimulating. It is appropriate here to thank Alain Lerat, the retiring secretary of the international scientific committee of the conference. We also wish to welcome J. J. Chattot who is the incoming secretary.