Author: Fábio A. DoriniPublisher:
ISBN:
Category :
Languages : en
Pages : 26
Book Description
A Finite Volume Method for the Mean of the Solution of the Random Transport Equation
Author: Fábio A. DoriniNumerical Fluid Dynamics
Author: Dia ZeidanPublisher: Springer Nature
ISBN: 9811696659
Category : Technology & Engineering
Languages : en
Pages : 323
Book Description
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.
Statistical Moments of the Random Linear Transport Equation
Author: Fábio A. DoriniA Numerical Scheme for the Variance of the Solution of the Random Transport Equation
Author: Maria Cristina de Castro CunhaPublisher:
ISBN:
Category :
Languages : en
Pages : 24
Book Description
Statistical Moments of the Solution of the Random Burgers-Riemann Problem
Author: M. Cristina C. CunhaA Note on a Sum Involving Odd Numbers
Author: Edmundo Capelas de OliveiraPublisher:
ISBN:
Category :
Languages : en
Pages : 22
Book Description
On the Problem of Optimal Reconstruction
Author: Alexander KushpelApplication of Moderate Deviation Techniques to Prove Sinai's Theorem on RWRE.
Author: Marcelo V. FreireFinite Volume Methods for Hyperbolic Problems
Author: Randall J. LeVequePublisher: Cambridge University Press
ISBN: 1139434187
Category : Mathematics
Languages : en
Pages : 582
Book Description
This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.
A Comment On: "On Some Contradictory Computations in Multi-dimensional Mathematics."
Author: Edmundo Capelas de OliveiraPublisher:
ISBN:
Category :
Languages : en
Pages : 14
Book Description