Space–Time Conservation Element and Solution Element Method

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Publisher : Springer Nature
ISBN 13 : 9819908760
Total Pages : 144 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Space–Time Conservation Element and Solution Element Method by : Chih-Yung Wen

Download or read book Space–Time Conservation Element and Solution Element Method written by Chih-Yung Wen and published by Springer Nature. This book was released on 2023-05-10 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws

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Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis The Space-Time Conservation Element and Solution Element Method: A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws by :

Download or read book The Space-Time Conservation Element and Solution Element Method: A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws written by and published by . This book was released on 1998 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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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Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis The Space-Time Conservation Element and Solution Element Method-A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws by : Xiao-Yen Wang

Download or read book The Space-Time Conservation Element and Solution Element Method-A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws written by Xiao-Yen Wang and published by . This book was released on 1998 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Space-Time Conservation Element and Solution Element Method

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Publisher :
ISBN 13 : 9781731326898
Total Pages : 126 pages
Book Rating : 4.3/5 (268 download)

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Book Synopsis The Space-Time Conservation Element and Solution Element Method by : National Aeronautics and Space Adm Nasa

Download or read book The Space-Time Conservation Element and Solution Element Method written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-11-14 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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...

The Study of Space-time Conservation Element and Solution Element Method

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Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (47 download)

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Book Synopsis The Study of Space-time Conservation Element and Solution Element Method by : Fai Yip

Download or read book The Study of Space-time Conservation Element and Solution Element Method written by Fai Yip and published by . This book was released on 1998 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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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Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis New Developments in the Method of Space-time Conservation Element and Solution Element: Applications to the Euler and Navier-Stokes Equations by : Sin-Chung Chang

Download or read book 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 published by . This book was released on 1993 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722830915
Total Pages : 60 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis 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 by : National Aeronautics and Space Administration (NASA)

Download or read book 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 published by Createspace Independent Publishing Platform. This book was released on 2018-07-17 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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...

The Method of Space-time Conservation Element and Solution Element: Development of a New Implicit Solver

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis The Method of Space-time Conservation Element and Solution Element: Development of a New Implicit Solver by :

Download or read book The Method of Space-time Conservation Element and Solution Element: Development of a New Implicit Solver written by and published by . This book was released on 1995 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Method of Space-time Conservation Element and Solution Element-applications to One-dimensional and Two-dimensional Time-marching Flow Problems

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Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis The Method of Space-time Conservation Element and Solution Element-applications to One-dimensional and Two-dimensional Time-marching Flow Problems by :

Download or read book The Method of Space-time Conservation Element and Solution Element-applications to One-dimensional and Two-dimensional Time-marching Flow Problems written by and published by . This book was released on 1995 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Application of the Space-time Conservation Element and Solution Element Method to Shock-tube Problem

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Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Application of the Space-time Conservation Element and Solution Element Method to Shock-tube Problem by : Xiao-Yen Wang

Download or read book Application of the Space-time Conservation Element and Solution Element Method to Shock-tube Problem written by Xiao-Yen Wang and published by . This book was released on 1994 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Application of the Space-time Conservation Element and Solution Element Method to the Ideal Magnetohydrodynamic Equations

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Application of the Space-time Conservation Element and Solution Element Method to the Ideal Magnetohydrodynamic Equations by : Moujin Zhang

Download or read book Application of the Space-time Conservation Element and Solution Element Method to the Ideal Magnetohydrodynamic Equations written by Moujin Zhang and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Developments in the Method of Space-time Conservation Element and Solution Element-applications to Two-dimensional Time-marching Problems

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis New Developments in the Method of Space-time Conservation Element and Solution Element-applications to Two-dimensional Time-marching Problems by : Sin-Chung Chang

Download or read book New Developments in the Method of Space-time Conservation Element and Solution Element-applications to Two-dimensional Time-marching Problems written by Sin-Chung Chang and published by . This book was released on 1994 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Application of the Space-Time Conservation Element and Solution Element Method to One-Dimensional Advection-Diffusion Problems

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781721182145
Total Pages : 40 pages
Book Rating : 4.1/5 (821 download)

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Book Synopsis Application of the Space-Time Conservation Element and Solution Element Method to One-Dimensional Advection-Diffusion Problems by : National Aeronautics and Space Administration (NASA)

Download or read book Application of the Space-Time Conservation Element and Solution Element Method to One-Dimensional Advection-Diffusion Problems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-15 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Summary of the Space-time Conservation Element and Solution Element (CESE) Method

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (947 download)

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Book Synopsis A Summary of the Space-time Conservation Element and Solution Element (CESE) Method by : X. Y. Wang

Download or read book A Summary of the Space-time Conservation Element and Solution Element (CESE) Method written by X. Y. Wang and published by . This book was released on 2015 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Study of Space Time Conservation Element And Solution Element Method for Conservation Laws

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (93 download)

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Book Synopsis Numerical Study of Space Time Conservation Element And Solution Element Method for Conservation Laws by :

Download or read book Numerical Study of Space Time Conservation Element And Solution Element Method for Conservation Laws written by and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

THE SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD: A NEW HIGH-RESOLUTION AND GENUINELY... NASA/TM-1998-208843... MAR. 1, 1999

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (213 download)

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Book Synopsis THE SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD: A NEW HIGH-RESOLUTION AND GENUINELY... NASA/TM-1998-208843... MAR. 1, 1999 by : United States. National Aeronautics and Space Administration

Download or read book THE SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD: A NEW HIGH-RESOLUTION AND GENUINELY... NASA/TM-1998-208843... MAR. 1, 1999 written by United States. National Aeronautics and Space Administration and published by . This book was released on 1999* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

APPLICATION OF THE SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD TO ONE-DIMENSIONAL... NASA/TM-1999-209068... JUL. 9, 1999

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis APPLICATION OF THE SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD TO ONE-DIMENSIONAL... NASA/TM-1999-209068... JUL. 9, 1999 by :

Download or read book APPLICATION OF THE SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT METHOD TO ONE-DIMENSIONAL... NASA/TM-1999-209068... JUL. 9, 1999 written by and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: