Five Decades Of Tackling Models For Stiff Fluid Dynamics Problems

Rationality - as opposed to 'ad-hoc' - and asymptotics - to emphasize the fact that perturbative methods are at the core of the theory - are the two main concepts associated with the Rational Asymptotic Modeling (RAM) approach in fluid dynamics when the goal is to specifically provide useful models accessible to numerical simulation via high-speed computing. This approach has contributed to a fresh understanding of Newtonian fluid flow problems and has opened up new avenues for tackling real fluid flow phenomena, which are known to lead to very difficult mathematical and numerical problems irrespective of turbulence. With the present scientific autobiography the author guides the reader through his somewhat non-traditional career; first discovering fluid mechanics, and then devoting more than fifty years to intense work in the field. Using both personal and general historical contexts, this account will be of benefit to anyone interested in the early and contemporary developments of an important branch of theoretical and computational fluid mechanics.

This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field. The interested reader will also benefit from the general historical context in which the material is presented in the book. The book covers a wide range of relevant topics of the field, and the main tool being rational asymptotic modelling (RAM) approach. The target audience primarily comprises experts in the field of fluid dynamics, but the book may also be beneficial for graduate students.

In this authoritative and comprehensive volume, Claude Bardos and Andrei Fursikov have drawn together an impressive array of international contributors to present important recent results and perspectives in this area. The main subjects that appear here relate largely to mathematical aspects of the theory but some novel schemes used in applied mathematics are also presented. Various topics from control theory, including Navier-Stokes equations, are covered.

Without sacrificing scientific strictness, this introduction to the field guides readers through mathematical modeling, the theoretical treatment of the underlying physical laws and the construction and effective use of numerical procedures to describe the behavior of the dynamics of physical flow. The book is carefully divided into three main parts: - The design of mathematical models of physical fluid flow; - A theoretical treatment of the equations representing the model, as Navier-Stokes, Euler, and boundary layer equations, models of turbulence, in order to gain qualitative as well as quantitative insights into the processes of flow events; - The construction and effective use of numerical procedures in order to find quantitative descriptions of concrete physical or technical fluid flow situations. Both students and experts wanting to control or predict the behavior of fluid flows by theoretical and computational fluid dynamics will benefit from this combination of all relevant aspects in one handy volume.

This is a unique collection of papers, all written by leading specialists, that presents the most recent results and advances in stability theory as it relates to fluid flows. The stability property is of great interest for researchers in many fields, including mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, and fluid mechanics. This text will be essential reading for many researchers working in these fields.

During the last twenty-five years, the published literature on computational fluid dynamics has grown enormously. However, there are few papers dealing with the analysis of computational methods for time dependent multidimensional flow. There also seems to be a polarization of investigators into two groups: advocates of finite difference methods and advocates of finite element methods. It is our contention that an 'ideal' computational model for fluid flow problems may in fact draw on the strengths of both schools of thought. For example, we have recently implemented a frontal solution technique, originally devised for finite element analyses, in a finite difference model of two-phase fluid flow. (Author).

The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

Research-based investigations of creativity, innovation, and entrepreneurship have the potential to inform each other and enrich our knowledge of each of these areas, particularly with regard to cognitive processes and effective behaviors. Yet, while these research streams have increasingly received a great deal of attention, they have developed largely independently of one another. The Oxford Handbook of Creativity, Innovation, and Entrepreneurship addresses the critical need to integrate these three interrelated literatures. The handbook features contributions from the leading scholars in these research areas. As a group, the chapters examine the intersections of these topics to synthesize contemporary research and provide direction and stimulation for further interdisciplinary investigations of organizational creativity, innovation, and entrepreneurship.

Businesses fail – some spectacularly and suddenly, others more gradually over time. In some companies business decline can be turned around or at least delayed. In many others there is no option other than business closure. Over the past twenty years the rate of business failure has accelerated. Insolvency rates are high not just for small businesses but also for large well known public companies. Identifying possible causes of business distress is now recognised as an important agenda item. Creating the capacity to bounce back from such distress – business resilience – has become a priority. The authors blend their own practical experience, academic research and a systematic analysis of recent high profile cases including Flybe Group Plc, Arcadia Group Ltd, Carillion Plc, NMC Health Plc and Thomas Cook Group Plc in a review of potential causes of business distress and key resilience drivers. This is presented in detail in separate chapters covering business purpose, board effectiveness, the quality of strategic planning, financial stewardship, risk management, business turnaround strategies and director duties in times of business distress. The book sets out a practical benchmarking framework in the form of a toolkit with a series of detailed evidences – performance indicators – that companies can use to assess potential business distress and build a resilient company.