Direct Modeling for Computational Fluid Dynamics

Construction and Application of Unified Gas-Kinetic Schemes

Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed through a direct modeling of flow motion in such a space. This book presents the principle of direct modeling for the CFD algorithm development, and the construction unified gas-kinetic scheme (UGKS). The UGKS accurately captures the gas evolution from rarefied to continuum flows. Numerically it provides a continuous spectrum of governing equation in the whole flow regimes.

Contents:

• Direct Modeling for Computational Fluid Dynamics
• Introduction to Gas Kinetic Theory
• Introduction to Nonequilibrium Flow Simulations
• Gas Kinetic Scheme
• Unified Gas Kinetic Scheme
• Low Speed Microflow Studies
• High Speed Flow Studies
• Unified Gas Kinetic Scheme for Diatomic Gas
• Conclusion

Readership: Undergraduate and graduate students, researchers and professionals interested in computational fluid dynamics.
Key Features:

• Direct modeling for CFD is self-contained and unified in presentation
• It may be used as an advanced textbook by graduate students and even ambitious undergraduates in computational fluid dynamics
• It is also suitable for experts in CFD who wish to have a new understanding of the fundamental problems in the subject and study alternative approaches in CFD algorithm development and application
• The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature