Nonlinear Error Analysis of Finite Difference Solutions of Turbulent and Unsteady Flow Fields PDF Download
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Author: D. S. McRae
Publisher:
ISBN:
Category :
Languages : en
Pages : 248
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Book Description
A computational analysis is performed for the truncation errors incurred in the numerical time integration of the unsteady and/or turbulent Navier-Stokes equations. The means of analysis is via the modified equation approach. Both the MacCormack explicit and Beam-Warming implicit numerical methods are considered. A simplified analysis applied to Burger's equation indicates that the leading order term is both dissipative and dispersive. The modified equation is derived for the aforementioned explicit and implicit methods as applied to the full two-dimensional Navier-Stokes equations. Development of the required Fortran code for solution of the modified equation is expedited through the use of the symbolic manipulation language, MACSYMA. Keywords: Programming languages, Turbulent flow, Supersonic flow. (edc).
Author: D. S. McRae
Publisher:
ISBN:
Category :
Languages : en
Pages : 248
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Book Description
A computational analysis is performed for the truncation errors incurred in the numerical time integration of the unsteady and/or turbulent Navier-Stokes equations. The means of analysis is via the modified equation approach. Both the MacCormack explicit and Beam-Warming implicit numerical methods are considered. A simplified analysis applied to Burger's equation indicates that the leading order term is both dissipative and dispersive. The modified equation is derived for the aforementioned explicit and implicit methods as applied to the full two-dimensional Navier-Stokes equations. Development of the required Fortran code for solution of the modified equation is expedited through the use of the symbolic manipulation language, MACSYMA. Keywords: Programming languages, Turbulent flow, Supersonic flow. (edc).
Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 836
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Author:
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ISBN:
Category : Aerodynamics
Languages : en
Pages : 78
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Author: D. Drikakis
Publisher: Springer Science & Business Media
ISBN: 0306484218
Category : Science
Languages : en
Pages : 390
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Book Description
In various branches of fluid mechanics, our understanding is inhibited by the presence of turbulence. Although many experimental and theoretical studies have significantly helped to increase our physical understanding, a comp- hensive and predictive theory of turbulent flows has not yet been established. Therefore, the prediction of turbulent flow relies heavily on simulation stra- gies. The development of reliable methods for turbulent flow computation will have a significant impact on a variety of technological advancements. These range from aircraft and car design, to turbomachinery, combustors, and process engineering. Moreover, simulation approaches are important in materials - sign, prediction of biologically relevant flows, and also significantly contribute to the understanding of environmental processes including weather and climate forecasting. The material that is compiled in this book presents a coherent account of contemporary computational approaches for turbulent flows. It aims to p- vide the reader with information about the current state of the art as well as to stimulate directions for future research and development. The book puts part- ular emphasis on computational methods for incompressible and compressible turbulent flows as well as on methods for analysing and quantifying nume- cal errors in turbulent flow computations. In addition, it presents turbulence modelling approaches in the context of large eddy simulation, and unfolds the challenges in the field of simulations for multiphase flows and computational fluid dynamics (CFD) of engineering flows in complex geometries. Apart from reviewing main research developments, new material is also included in many of the chapters.
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Category : Government reports announcements & index
Languages : en
Pages : 1364
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Author: Jacob E. Fromm
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 138
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Book Description
A general method of numerical calculation of compressible flows is outlined in which such flows are divided into irrotational and solenoidal parts. The general equations are reduced to the Boussinesq approximation for consideration of the B©Øenard problem. The B©Øenard problem, both in method of solution and result, is used to analyse a number of crucial aspects of finite difference calculation. In particular, the nonlinear formulations in current use are developed and related in a systematic way; and, in addition, some higher order methods are derived. Examples of the time-dependent behavior of the thermal convection problem are examined for physical interpretation in terms of gross property measurements and character of instantaneous solutions with the hope that the experience so gained will be valuable to extensions of the numerical method to more general problems.
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Category : Computer software
Languages : en
Pages : 444
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Author:
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ISBN:
Category : Government publications
Languages : en
Pages : 1106
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Author:
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ISBN:
Category : Weights and measures
Languages : en
Pages : 838
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Author:
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ISBN:
Category : Hydraulic engineering
Languages : en
Pages : 708
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