Space-Time Conservation Element and Solution Element Method Advances and Applications in Engineering Sciences
Wen, Chih-Yung
Space-Time Conservation Element and Solution Element Method Advances and Applications in Engineering Sciences - Singapore Springer Nature 2023 - 1 electronic resource (139 p.) - Engineering Applications of Computational Methods 13 .
Open Access
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.
Creative Commons
English
978-981-99-0876-9 9789819908752 9789819908769
10.1007/978-981-99-0876-9 doi
Aerospace & aviation technology
Mathematical physics
Maths for scientists
Mechanics of fluids
CESE Method Compressible Flow Computational Aeroacoustics Computational Fluid Dynamics Conservation element and solution element method Detonation Wave Discontinuity Capturing High-order Scheme Hyperbolic Conservation Laws Interfacial Instability Material Interface Multiphase Flow Numerical Method Numerical Simulation Shock Capturing Shock Wave Space-time Coupling Staggered Mesh Unstructured Mesh
Space-Time Conservation Element and Solution Element Method Advances and Applications in Engineering Sciences - Singapore Springer Nature 2023 - 1 electronic resource (139 p.) - Engineering Applications of Computational Methods 13 .
Open Access
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.
Creative Commons
English
978-981-99-0876-9 9789819908752 9789819908769
10.1007/978-981-99-0876-9 doi
Aerospace & aviation technology
Mathematical physics
Maths for scientists
Mechanics of fluids
CESE Method Compressible Flow Computational Aeroacoustics Computational Fluid Dynamics Conservation element and solution element method Detonation Wave Discontinuity Capturing High-order Scheme Hyperbolic Conservation Laws Interfacial Instability Material Interface Multiphase Flow Numerical Method Numerical Simulation Shock Capturing Shock Wave Space-time Coupling Staggered Mesh Unstructured Mesh