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Space–Time Conservation Element and Solution Element Method
Chih-Yung Wen, Yazhong Jiang, Lisong Shi
2023
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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 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.
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Keywords
- Aerospace & aviation technology
- 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
- Materials science
- Mathematical physics
- Mathematics & science
- Maths for scientists
- Mechanical engineering & materials
- Mechanics of fluids
- Multiphase flow
- numerical method
- Numerical Simulation
- Physics
- Science: general issues
- shock capturing
- shock wave
- Space-time Coupling
- Staggered Mesh
- Technology, engineering, agriculture
- thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists
- thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
- Transport technology & trades
- Unstructured Mesh
Links
DOI: 10.1007/978-981-99-0876-9Editions