Chih-Yung Wen Yazhong Jiang Lisong Shi Wen Space–Time Conservation Element and Solution Element Method

Space–Time Conservation Element and Solution Element Method

von Chih-Yung Wen Yazhong Jiang Lisong Shi

Advances and Applications in Engineering Sciences

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Beschreibung

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.


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.


Introduces the Conservation Element and Solution Element (CESE) method, which has a relatively short history Highlights the remarkable improvements and extensions of the CESE method which were carried out in the past five years Provides a comprehensive survey of applications of the CESE method This is an open access book, which means that you have free and unlimited access

Autor*in

Chih-Yung Wen

Themen in »Space–Time Conservation Element and Solution Element Method«

Conservation element and solution element method Computational Fluid Dynamics Numerical Method High-order Scheme Space-time Coupling Hyperbolic Conservation Laws Shock Capturing Staggered Mesh Compressible Flow Material Interface Detonation Wave Computational Aeroacoustics Open Access CESE Method Numerical Simulation

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Details

ISBN: 9789819908752
Verlag: Springer Singapore
Erscheinung: 09.04.2023

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