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

• 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

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.