Tag: Method

Introduction To The Lattice Boltzmann Method, An


Free Download Introduction To The Lattice Boltzmann Method, An: A Numerical Method For Complex Boundary And Moving Boundary Flows by Takaji Inamuro, Masato Yoshino, Kosuke Suzuki
English | November 23, 2021 | ISBN: 9811240515 | 166 pages | MOBI | 15 Mb
The book introduces the fundamentals and applications of the lattice Boltzmann method (LBM) for incompressible viscous flows. It is written clearly and easy to understand for graduate students and researchers. The book is organized as follows. In Chapter 1, the SRT- and MRT-LBM schemes are derived from the discrete Boltzmann equation for lattice gases and the relation between the LBM and the Navier-Stokes equation is explained by using the asymptotic expansion (not the Chapman-Enskog expansion). Chapter 2 presents the lattice kinetic scheme (LKS) which is an extension method of the LBM and can save memory because of needlessness for storing the velocity distribution functions. In addition, an improved LKS which can stably simulate high Reynolds number flows is presented. In Chapter 3, the LBM combined with the immersed boundary method (IB-LBM) is presented. The IB-LBM is well suitable for moving boundary flows. In Chapter 4, the two-phase LBM is explained from the point of view of the difficulty in computing two-phase flows with large density ratio. Then, a two-phase LBM for large density ratios is presented. In Appendix, sample codes (available for download) are given for users.

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Entropy Generation Minimization The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes


Free Download Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes By Adrian Bejan
1995 | 400 Pages | ISBN: 0849396514 | PDF | 18 MB
This book presents the diverse and rapidly expanding field of Entropy Generation Minimization (EGM), the method of thermodynamic optimization of real devices. The underlying principles of the EGM method – also referred to as "thermodynamic optimization," "thermodynamic design," and "finite time thermodynamics" – are thoroughly discussed, and the method’s applications to real devices are clearly illustrated. The EGM field has experienced tremendous growth during the 1980s and 1990s. This book places EGM’s growth in perspective by reviewing both sides of the field – engineering and physics. Special emphasis is given to chronology and to the relationship between the more recent work and the pioneering work that outlined the method and the field. Entropy Generation Minimization combines the fundamental principles of thermodynamics, heat transfer, and fluid mechanics. EGM applies these principles to the modeling and optimization of real systems and processes that are characterized by finite size and finite time constraints, and are limited by heat and mass transfer and fluid flow irreversibilities. Entropy Generation Minimization provides a straightforward presentation of the principles of the EGM method, and features examples that elucidate concepts and identify recent EGM advances in engineering and physics. Modern advances include the optimization of storage by melting and solidification; heat exchanger design; power from hot-dry-rock deposits; the on & off operation of defrosting refrigerators and power plants with fouled heat exchangers; the production of ice and other solids; the maximization of power output in simple power plant models with heat transfer irreversibilities; the minimization of refrigerator power input in simple models; and the optimal collection and use of solar energy.

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Beckett and the Cognitive Method Mind, Models, and Exploratory Narratives


Free Download Marco Bernini, "Beckett and the Cognitive Method: Mind, Models, and Exploratory Narratives "
English | ISBN: 0190664355 | 2021 | 264 pages | EPUB | 3 MB
Does literature merely represent cognitive processes, or can it enhance, parallel, or reassess the scientific study of the mind? Beckett and the Cognitive Method argues that Samuel Beckett’s narrative work, rather than just expressing or rendering mental states, inaugurates an exploratory use of narrative as an introspective modeling technology. Through a detailed analysis of Beckett’s entire corpus and published volumes of letters, this book argues that Beckett pioneered a new method of writing to construct (in a mode analogous to scientific inquiry) models for the exploration of core laws, processes, and dynamics in the human mind.

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The Matrix Perturbation Method in Quantum Mechanics


Free Download The Matrix Perturbation Method in Quantum Mechanics
English | 2024 | ISBN: 3031485459 | 201 Pages | PDF EPUB (True) | 36 MB
This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method’s applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike.

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