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Quasi-Gas Dynamic Equations

Quasi-Gas Dynamic Equations PDF Author: Tatiana G. Elizarova
Publisher: Springer Science & Business Media
ISBN: 3642002927
Category : Technology & Engineering
Languages : en
Pages : 291

Book Description
The monograph is devoted to modern mathematical models and numerical methods for solving gas- and ?uid-dynamic problems based on them. Two interconnected mathematical models generalizing the Navier–Stokes system are presented; they differ from the Navier–Stokes system by additional dissipative terms with a small parameter as a coef?cient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective ?nite-difference algorithms for calculating viscous nonstationary ?ows are constructed and examples of numerical computations are presented. The universality, the ef?ciency, and the exactness of the algorithms constructed are ensured by the ful?llment of integral conservation laws and the theorem on entropy balance for them. The book is a course of lectures and is intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and ?uid ?ows and also for students and postgraduate students who specialize in numerical gas and ?uid dynamics.

Quasi-Gas Dynamic Equations

Quasi-Gas Dynamic Equations PDF Author: Tatiana G. Elizarova
Publisher: Springer Science & Business Media
ISBN: 3642002927
Category : Technology & Engineering
Languages : en
Pages : 291

Book Description
The monograph is devoted to modern mathematical models and numerical methods for solving gas- and ?uid-dynamic problems based on them. Two interconnected mathematical models generalizing the Navier–Stokes system are presented; they differ from the Navier–Stokes system by additional dissipative terms with a small parameter as a coef?cient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective ?nite-difference algorithms for calculating viscous nonstationary ?ows are constructed and examples of numerical computations are presented. The universality, the ef?ciency, and the exactness of the algorithms constructed are ensured by the ful?llment of integral conservation laws and the theorem on entropy balance for them. The book is a course of lectures and is intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and ?uid ?ows and also for students and postgraduate students who specialize in numerical gas and ?uid dynamics.

Large-Eddy Simulation for Acoustics

Large-Eddy Simulation for Acoustics PDF Author: Claus Wagner
Publisher: Cambridge University Press
ISBN: 1139463160
Category : Technology & Engineering
Languages : en
Pages : 389

Book Description
Noise around airports, trains, and industries attracts environmental concern and regulation. Large-eddy simulation (LES) is used for noise-reduced design and acoustical research. This 2007 book, by 30 experts, presents the theoretical background of acoustics and LES, and details about numerical methods, e.g. discretization schemes, boundary conditions, and coupling aspects.

Systems of Quasilinear Equations and Their Applications to Gas Dynamics

Systems of Quasilinear Equations and Their Applications to Gas Dynamics PDF Author: Boris Leonidovich Rozhdestvenski_
Publisher: American Mathematical Soc.
ISBN: 9780821898062
Category : Science
Languages : en
Pages : 700

Book Description
This book is essentially a new edition, revised and augmented by results of the last decade, of the work of the same title published in 1968 by ``Nauka.'' It is devoted to mathematical questions of gas dynamics. Topics covered include Foundations of the Theory of Systems of Quasilinear Equations of Hyperbolic Type in Two Independent Variables; Classical and Generalized Solutions of One-Dimensional Gas Dynamics; Difference Methods for Solving the Equations of Gas Dynamics; and Generalized Solutions of Systems of Quasilinear Equations of Hyperbolic Type.

The Theory of Difference Schemes

The Theory of Difference Schemes PDF Author: Alexander A. Samarskii
Publisher: CRC Press
ISBN: 9780203908518
Category : Mathematics
Languages : en
Pages : 796

Book Description
The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of approximate numerical methods and computer algorithms for solving mathematical physics problems. The book also develops mathematical models for obtaining desired solutions in minimal time using direct or iterative difference equations. Mathematical Reviews said it is "well-written [and] an excellent book, with a wealth of mathematical material and techniques."

Multiscale Problems: Theory, Numerical Approximation And Applications

Multiscale Problems: Theory, Numerical Approximation And Applications PDF Author: Alain Damlamian
Publisher: World Scientific
ISBN: 9814458120
Category : Mathematics
Languages : en
Pages : 314

Book Description
The focus of this is on the latest developments related to the analysis of problems in which several scales are presented. After a theoretical presentation of the theory of homogenization in the periodic case, the other contributions address a wide range of applications in the fields of elasticity (asymptotic behavior of nonlinear elastic thin structures, modeling of junction of a periodic family of rods with a plate) and fluid mechanics (stationary Navier-Stokes equations in porous media). Other applications concern the modeling of new composites (electromagnetic and piezoelectric materials) and imperfect transmission problems. A detailed approach of numerical finite element methods is also investigated.

Upwind and High-Resolution Schemes

Upwind and High-Resolution Schemes PDF Author: M.Yousuff Hussaini
Publisher: Springer Science & Business Media
ISBN: 3642605435
Category : Science
Languages : en
Pages : 587

Book Description
One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most significant papers in the development of high-resolution schemes as occured at ICASE.

Differential and Difference Equations with Applications

Differential and Difference Equations with Applications PDF Author: Sandra Pinelas
Publisher: Springer Nature
ISBN: 3030563235
Category : Mathematics
Languages : en
Pages : 754

Book Description
This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.

Fundamentals of Gas Dynamics

Fundamentals of Gas Dynamics PDF Author: Mrinal Kaushik
Publisher: Springer Nature
ISBN: 9811690855
Category : Technology & Engineering
Languages : en
Pages : 591

Book Description
This textbook for courses in gas dynamics will be of interest to students and teachers in aerospace and mechanical engineering disciplines. It provides an in-depth explanation of compressible flows and ties together various concepts to build an understanding of the fundamentals of gas dynamics. The book is written in an easy to understand manner, with pedagogical aids such as chapter overviews, summaries, and descriptive and objective questions to help students evaluate their progress. The book contains example problems as well as end-of-chapter exercises. Detailed bibliographies are included at the end of each chapter to provide students with further resources. The book can be used as a core text in engineering coursework and also in professional development courses.

Gasdynamic Aspects of Two-Phase Flow

Gasdynamic Aspects of Two-Phase Flow PDF Author: Herbert Staedtke
Publisher: John Wiley & Sons
ISBN: 9783527405787
Category : Science
Languages : en
Pages : 302

Book Description
Here, the author, a researcher of outstanding experience in this field, summarizes and combines the recent results and findings on advanced two-phase flow modeling and numerical methods otherwise dispersed in various journals, while also providing explanations for numerical and modeling techniques previously not covered by other books. The resulting systematic and comprehensive monograph is unrivalled in its kind, serving as a reference for both researchers and engineers working in engineering as well as in environmental science.

Shock Waves @ Marseille IV

Shock Waves @ Marseille IV PDF Author: Raymond Brun
Publisher: Springer Science & Business Media
ISBN: 3642795323
Category : Science
Languages : en
Pages : 508

Book Description
Recently, there have been significant advances in the fields of high-enthalpy hypersonic flows, high-temperature gas physics, and chemistry shock propagation in various media, industrial and medical applications of shock waves, and shock-tube technology. This series contains all the papers and lectures of the 19th International Symposium on Shock Waves held in Marseille in 1993. They are published in four topical volumes, each containing papers on related topics, and preceded by an overview written by a leading international expert. The volumes may be purchased independently.