This book contains select invited chapters on the latest research in numerical fluid dynamics and applications. The book aims at discussing the state-of-the-art developments and improvements in numerical fluid dynamics. All the chapters are presented for approximating and simulating how these methods and computations interact with different topics such as shock waves, non-equilibrium single and two-phase flows, elastic human-airway, and global climate. In addition to the fundamental research involving novel types of mathematical sciences, the book presents theoretical and numerical developments in fluid dynamics. The contributions by well-established global experts in fluid dynamics have brought different features of numerical fluid dynamics in a single book.

The book serves as a useful resource for high-impact advances involving computational fluid dynamics, including recent developments in mathematical modelling, numerical methods such as finite volume, finite difference and finite element, symbolic computations, and open numerical programs such as OpenFOAM software. The book addresses interdisciplinary topics in industrial mathematics that lie at the forefront of research into new types of mathematical sciences, including theory and applications. This book will be beneficial to industrial and academic researchers, as well as graduate students, working in the fields of natural and engineering sciences. The book will provide the reader highly successful materials and necessary research in the field of fluid dynamics.

Presents a collection of chapters on computations and approaches to numerical fluid dynamics Highlights novel applications by leading experts in numerical analysis and computational fluid dynamics Contains diverse methods and computations of mathematics in fluid mechanics

Autorentext

Dia Zeidan is Associate Professor of Applied and Computational Mathematics at the German Jordanian University, Amman, Jordan, and Elected Fellow of the European Society of Computational Methods in Sciences and Engineering. An active researcher in developing mathematical and numerical tools of multiphase fluid flow problems for several years, he is recognized for research contributions in applied and computational mathematics with multiphase flows including his creative approaches to teaching and research. His work has been highly interdisciplinary, involving international collaborations with applied and computational researchers. Among various institutional obligations, he has been visitor of several important international research groups bridging with national research infrastructure gaps in Jordan. He serves on several expert review panels, as Technical Editor and Reviewer for several peer-reviewed journals and as Member of several program committees of technical conferences around the world.

Jochen Merker is Professor of Analysis and Optimization at the Leipzig University of Applied Sciences (HTWK Leipzig), Germany, since 2015. He received his Ph.D. in Mathematics from the University of Hamburg, Germany, in 2005. Afterwards, he worked as Postdoc in Applied Analysis at the University of Rostock, Germany, received his Habilitation in 2012 and became Professor at the Applied University of Stralsund, in 2013, before he became Full Professor at HTWK Leipzig. His research focuses on partial differential equations (PDEs) and functional analysis, particularly functional analytic settings for linear and nonlinear stationary and evolution equations, especially degenerate and singular parabolic PDEs with non-local terms, and on (contact) Hamiltonian systems on manifolds. Regarding this topic, in 2018, he received an honorable mention in the international Ian Snook Prize 2017 for his contribution in the field.

Eric Goncalves Da Silva is Professor and Head of the Department Fluid Mechanics and Aerodynamics, Aeronautical Engineering School ISAE-ENSMA, Poitiers, France. His research interests are related to the modelling and the simulation of flows for which the density is variable such as compressible flow, two-phase flow and cavitation. Recent work includes shock wave boundary layer interaction, shock-bubble interaction and investigation of three-dimensional effects on cavitation pocket.

Lucy T. Zhang is Professor at the Department of Mechanical, Aerospace and Nuclear

Engineering at Rensselaer Polytechnic Institute (RPI), U.S.A. She is a Fellow of

American Society of Mechanical Engineers (ASME). Her research interests focus

on building advanced and robust computational tools and software for accurate and

ef cient multiphysics and multiscale simulations that can be used for engineering

applications in biomechanics, micro- and nano-mechanics, medicine and defense

projects involving impacts. Her pioneer work in developing the immersed nite

element method had been and is still being widely used in academic engineering and

scienti c communities. Professor Zhang is now developing open-source tools and

technology, OpenIFEM, that can conveniently and ef ciently couple any existing

solvers for multiphysics and multiscale simulations and analysis.

Inhalt

1. Structure Functions for Numerical Shocks (Au: L.G. Margolin and S.D. Ramsey).- 2. Generalized Probability Density Function of the Solution to the Random BurgersRiemann Problem (Au: Juan Carlos Cortés and Marc Jornet).- 3. Semi-analytical and Numerical study on Equatorial Rossby Solitary Waves under Non-traditional Approximation (Au: Ruigang Zhang , Quansheng Liu, and Liangui Yang).- 4. High-Order Polynomial Recovery in Finite Element Advection Schemes (Au: Denise Vogel and Oswald Knoth).- 5. Breakdown of Morphing Continuum Approach for Flows Under Translational Nonequilibrium. (Au: Jiamiao Sun, Mohamad Ibrahim Cheikh, Pedram Pakseresht, Mikel Aghachi, and James Chen).- 6. Dynamics of Oscillatory Fluid Flow inside an Elastic Human Airway.- Hyperbolic Balance Laws: Residual Distribution, Local and Global Fluxes (Au: Rémi Abgrall and Mario Ricchiuto).- 7. An Energy-splitting High-order Numerical Method for Multi-material Flows (Au: Xin Lei and Jiequan Li).- 8. An ADER-LSTDG Scheme for the Numerical Simulation of a Global Climate Model.- 9. Effcient Experimental and Numerical Methods for Solving Vertical Distribution of Sediments in Dam-break Flows (Au: Thomas Rowan and Mohammed Seaid).