A BGK Type Flux Vector Splitting Scheme for the Ultrarelativistic Euler Equations PDF Download
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Author: Matthias Kunik
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
Author: Matthias Kunik
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
Author: Harendra Singh
Publisher: CRC Press
ISBN: 1000381110
Category : Mathematics
Languages : en
Pages : 245
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Book Description
Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.
Author:
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 1136
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Book Description
Author: Gerald Warnecke
Publisher: Springer Science & Business Media
ISBN: 3540279075
Category : Mathematics
Languages : en
Pages : 541
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Book Description
Whatdoasupernovaexplosioninouterspace,?owaroundanairfoil and knocking in combustion engines have in common? The physical and chemical mechanisms as well as the sizes of these processes are quite di?erent. So are the motivations for studying them scienti?cally. The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In ?ows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that in?uence the stability of the wings as well as fuel consumption in ?ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for e?ciency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial di?erential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scienti?c progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua, partial di?erential equationsareamajor?eldofresearchinmathematics. Asubstantialportionof mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more spacedimensionsstillposeoneofthemainchallengestomodernmathematics.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 24
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Book Description
Author: E. Turkel
Publisher:
ISBN:
Category : Euler's numbers
Languages : en
Pages : 16
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Book Description
Author: Timo Siikonen
Publisher:
ISBN: 9789517544573
Category :
Languages : en
Pages : 23
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Book Description
Author: American Institute of Aeronautics and Astronautics
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 896
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Author: D. L. Whitfield
Publisher:
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
A method for numerically solving the three-dimensional unsteady Euler equations using flux vector splitting is developed. The equations are cast in curvilinear coordinates and a finite volume discretization is used. An explicit upwind second-order predictor-corrector scheme is used to solve the discretized equations. The scheme is stable for a CFD number of 2 and local time stepping is used to accelerate convergence for steady-state problems. Characteristics variable boundary conditions are developed and used in the far-field and at surfaces. No additional dissipation terms are included in the scheme. Numerical results are compared with results from an existing three-dimensional Euler code and experimental data. Keywords include: Euler Equations, Flux Vector Splitting, Computational Fluid Dynamics.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
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Book Description
