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Space-Time Conservation Element and Solution Element Method Advances and Applications in Engineering Sciences

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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 e...

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Bibliographic Details
Main Author: Wen, Chih-Yung (auth)
Other Authors: Jiang, Yazhong (auth), Shi, Lisong (auth)
Format: Electronic Book Chapter
Language:English
Published: Singapore Springer Nature 2023
Series:Engineering Applications of Computational Methods
Subjects:
Maths for scientists
Mathematical physics
Mechanics of fluids
Aerospace & aviation technology
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
CESE Method
Numerical Simulation
Unstructured Mesh
Discontinuity Capturing
Shock Wave
Multiphase Flow
Interfacial Instability
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Summary: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.
Physical Description:1 electronic resource (139 p.)
ISBN:978-981-99-0876-9
9789819908769
9789819908752
Access:Open Access

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