Flux Vector Splitting of the One-dimensional Euler Equations PDF Download
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Author: Timo Siikonen
Publisher:
ISBN: 9789517544573
Category :
Languages : en
Pages : 23
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Book Description
Author: Timo Siikonen
Publisher:
ISBN: 9789517544573
Category :
Languages : en
Pages : 23
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Book Description
Author: Egon Krause
Publisher:
ISBN: 9780387119489
Category : Fluid dynamics
Languages : en
Pages : 569
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Book Description
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: Joseph Robert Ferrari
Publisher:
ISBN:
Category :
Languages : en
Pages : 356
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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: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722154769
Category :
Languages : en
Pages : 78
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Book Description
A new class of piecewise linear methods for the numerical solution of the one-dimensional Euler equations of gas dynamics is presented. These methods are uniformly second-order accurate, and can be considered as extensions of Godunov's scheme. With an appropriate definition of monotonicity preservation for the case of linear convection, it can be shown that they preserve monotonicity. Similar to Van Leer's MUSCL scheme, they consist of two key steps: a reconstruction step followed by an upwind step. For the reconstruction step, a monotonicity constraint that preserves uniform second-order accuracy is introduced. Computational efficiency is enhanced by devising a criterion that detects the 'smooth' part of the data where the constraint is redundant. The concept and coding of the constraint are simplified by the use of the median function. A slope steepening technique, which has no effect at smooth regions and can resolve a contact discontinuity in four cells, is described. As for the upwind step, existing and new methods are applied in a manner slightly different from those in the literature. These methods are derived by approximating the Euler equations via linearization and diagonalization. At a 'smooth' interface, Harten, Lax, and Van Leer's one intermediate state model is employed. A modification for this model that can resolve contact discontinuities is presented. Near a discontinuity, either this modified model or a more accurate one, namely, Roe's flux-difference splitting. is used. The current presentation of Roe's method, via the conceptually simple flux-vector splitting, not only establishes a connection between the two splittings, but also leads to an admissibility correction with no conditional statement, and an efficient approximation to Osher's approximate Riemann solver. These reconstruction and upwind steps result in schemes that are uniformly second-order accurate and economical at smooth regions, and yield high resolution at discontinuities. Huynh, ...
Author: Richard H. Pletcher
Publisher: CRC Press
ISBN: 9781560320463
Category : Science
Languages : en
Pages : 828
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Book Description
This comprehensive text provides basic fundamentals of computational theory and computational methods. The book is divided into two parts. The first part covers material fundamental to the understanding and application of finite-difference methods. The second part illustrates the use of such methods in solving different types of complex problems encountered in fluid mechanics and heat transfer. The book is replete with worked examples and problems provided at the end of each chapter.
Author: Doyle Knight
Publisher: Cambridge University Press
ISBN: 9780521554749
Category : Mathematics
Languages : en
Pages : 280
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Author: H. Lomax
Publisher: Springer Science & Business Media
ISBN: 3662046547
Category : Science
Languages : en
Pages : 256
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Book Description
The chosen semi-discrete approach of a reduction procedure of partial differential equations to ordinary differential equations and finally to difference equations gives the book its distinctiveness and provides a sound basis for a deep understanding of the fundamental concepts in computational fluid dynamics.
Author: Matthias Kunik
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
