A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes
Title | A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes PDF eBook |
Author | Kun Xu |
Publisher | Cambridge University Press |
Pages | 106 |
Release | 2021-06-10 |
Genre | Technology & Engineering |
ISBN | 1108890512 |
This Element presents a unified computational fluid dynamics framework from rarefied to continuum regimes. The framework is based on the direct modelling of flow physics in a discretized space. The mesh size and time step are used as modelling scales in the construction of discretized governing equations. With the variation-of-cell Knudsen number, continuous modelling equations in different regimes have been obtained, and the Boltzmann and Navier-Stokes equations become two limiting equations in the kinetic and hydrodynamic scales. The unified algorithms include the discrete velocity method (DVM)–based unified gas-kinetic scheme (UGKS), the particlebased unified gas-kinetic particle method (UGKP), and the wave and particle–based unified gas-kinetic wave-particle method (UGKWP). The UGKWP is a multi-scale method with the particle for non-equilibrium transport and wave for equilibrium evolution. The particle dynamics in the rarefied regime and the hydrodynamic flow solver in the continuum regime have been unified according to the cell's Knudsen number.
Direct Modeling for Computational Fluid Dynamics
Title | Direct Modeling for Computational Fluid Dynamics PDF eBook |
Author | Kun Xu |
Publisher | World Scientific Publishing Company Incorporated |
Pages | 318 |
Release | 2014-12-31 |
Genre | Science |
ISBN | 9789814623711 |
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 -- Appendix A: Non-dimensionalizing fluid dynamic variables -- Appendix B. Connection between BGK, Navier Stokes and Euler equations -- Appendix C. Moments of Maxwellian distribution function and expansion coefficients -- Appendix D. Flux evaluation through stationary and moving cell interfaces
Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows
Title | Mach Wave and Acoustical Wave Structure in Nonequilibrium Gas-Particle Flows PDF eBook |
Author | Joseph T. C. Liu |
Publisher | Cambridge University Press |
Pages | 78 |
Release | 2021-10-07 |
Genre | Technology & Engineering |
ISBN | 1108997791 |
In this Element, the gas-particle flow problem is formulated with momentum and thermal slip that introduces two relaxation times. Starting from acoustical propagation in a medium in equilibrium, the relaxation-wave equation in airfoil coordinates is derived though a Galilean transformation for uniform flow. Steady planar small perturbation supersonic flow is studied in detail according to Whitham's higher-order waves. The signals owing to wall boundary conditions are damped along the frozen-Mach wave, and are both damped and diffusive along an effective-intermediate Mach wave and diffusive along the equilibrium Mach wave where the bulk of the disturbance propagates. The surface pressure coefficient is obtained exactly for small-disturbance theory, but it is considerably simplified for the small particle-to-gas mass loading approximation, equivalent to a simple-wave approximation. Other relaxation-wave problems are discussed. Martian dust-storm properties in terms of gas-particle flow parameters are estimated.
Computational Fluid Dynamics Based on the Unified Coordinates
Title | Computational Fluid Dynamics Based on the Unified Coordinates PDF eBook |
Author | Wai-How Hui |
Publisher | Springer Science & Business Media |
Pages | 190 |
Release | 2012-12-09 |
Genre | Mathematics |
ISBN | 3642258964 |
"Computational Fluid Dynamics Based on the Unified Coordinates" reviews the relative advantages and drawbacks of Eulerian and Lagrangian coordinates as well as the Arbitrary Lagrangian-Eulerian (ALE) and various moving mesh methods in Computational Fluid Dynamics (CFD) for one- and multi-dimensional flows. It then systematically introduces the unified coordinate approach to CFD, illustrated with numerous examples and comparisons to clarify its relation with existing approaches. The book is intended for researchers, graduate students and practitioners in the field of Computational Fluid Dynamics. Emeritus Professor Wai-Hou Hui and Professor Kun Xu both work at the Department of Mathematics of the Hong Kong University of Science & Technology, Hong Kong, China.
Parallel Computational Fluid Dynamics 2007
Title | Parallel Computational Fluid Dynamics 2007 PDF eBook |
Author | Ismail H. Tuncer |
Publisher | Springer Science & Business Media |
Pages | 489 |
Release | 2009-04-21 |
Genre | Mathematics |
ISBN | 3540927441 |
At the 19th Annual Conference on Parallel Computational Fluid Dynamics held in Antalya, Turkey, in May 2007, the most recent developments and implementations of large-scale and grid computing were presented. This book, comprised of the invited and selected papers of this conference, details those advances, which are of particular interest to CFD and CFD-related communities. It also offers the results related to applications of various scientific and engineering problems involving flows and flow-related topics. Intended for CFD researchers and graduate students, this book is a state-of-the-art presentation of the relevant methodology and implementation techniques of large-scale computing.
Computational Fluid Dynamics
Title | Computational Fluid Dynamics PDF eBook |
Author | Oleg Minin |
Publisher | BoD – Books on Demand |
Pages | 412 |
Release | 2011-07-05 |
Genre | Computers |
ISBN | 9533071699 |
This book is planned to publish with an objective to provide a state-of-art reference book in the area of computational fluid dynamics for CFD engineers, scientists, applied physicists and post-graduate students. Also the aim of the book is the continuous and timely dissemination of new and innovative CFD research and developments. This reference book is a collection of 14 chapters characterized in 4 parts: modern principles of CFD, CFD in physics, industrial and in castle. This book provides a comprehensive overview of the computational experiment technology, numerical simulation of the hydrodynamics and heat transfer processes in a two dimensional gas, application of lattice Boltzmann method in heat transfer and fluid flow, etc. Several interesting applications area are also discusses in the book like underwater vehicle propeller, the flow behavior in gas-cooled nuclear reactors, simulation odour dispersion around windbreaks and so on.
Principles of Computational Fluid Dynamics
Title | Principles of Computational Fluid Dynamics PDF eBook |
Author | Pieter Wesseling |
Publisher | Springer Science & Business Media |
Pages | 651 |
Release | 2009-12-21 |
Genre | Mathematics |
ISBN | 3642051456 |
This up-to-date book gives an account of the present state of the art of numerical methods employed in computational fluid dynamics. The underlying numerical principles are treated in some detail, using elementary methods. The author gives many pointers to the current literature, facilitating further study. This book will become the standard reference for CFD for the next 20 years.