Three-Dimensional Unsteady Euler Equations Solution Using Flux Vector Splitting PDF Download
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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: 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: Dave M. Belk
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
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Book Description
A method is presented for solving the three-dimensional unsteady Euler equations on dynamic grids based on flux vector splitting. The equations are cast in curvilinear coordinates and a finite volume discretization is used for handling arbitrary geometries. The discretized equations are solved using an explicit upwind second-order predictor corrector scheme that is stable for a CFL of 2. Characteristic variable boundary conditions are developed and used for unsteady impermeable surfaces and for the far-field boundary. Dynamic-grid results are presented for an oscillating airfoil and for a store separating from a reflection plate. For the cases considered of stores separating from a reflection plate, the unsteady aerodynamic forces on the store are significantly different from forces obtained by steady-state aerodynamics with the body inclination angle changed to account for plunge velocity.
Author: Dave M. Belk
Publisher:
ISBN:
Category : Aerodynamics, Transonic
Languages : en
Pages : 157
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Book Description
An unsteady implicit Euler equation solution algorithm using finite volume discretization and flux-vector splitting is presented. The effect on time-accuracy of different time step sizes, different approximate factorizations, and formal first-order versus second-order time accuracy is determined by numerical experimentation on a NACA0012 airfoil undergoing pitch oscillations in transonic flow. It is shown that time step sizes corresponding to Courant numbers of 100 or more can produce time-accurate results if flow variable s are not rapidly changing. Due to better stability properties, the two-factor method gives better results than the six-factor method. Also, the second-order-time-accurate three point backward time discretization is shown to yield only slight improvement over the first-order-time-accurate backward Euler time discretization. Methods of obtaining time-accurate Euler solutions on blocked grids are analyzed and verified by comparing multi-block solutions with equivalent one-block solutions.
Author: Douglas G. Howlett
Publisher:
ISBN:
Category : Euler's numbers
Languages : en
Pages : 174
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Author: K. Koenig
Publisher:
ISBN:
Category :
Languages : en
Pages : 43
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Book Description
A user's guide is presented for the three-dimensional, time-dependent Euler code, ARO-1. The guide provides a brief theoretical background for the explicit MacCormack algorithm and its application to the Euler equations. The main routines of the program are described and the calling order examined for a sample computational step. The primary code variables are defined, along with the nondimensionalization employed. Specification of the initial and boundary conditions is discussed from a theoretical and practical perspective. The required input data are presented for a sample case. This report serves two purposes: to introduce the principles of computational fluid dynamics to engineers and scientists unfamiliar with this subject and to provide detailed instructions on the use of this particular computer solution of the Euler equations.
Author: Francis Allen Mansfield
Publisher:
ISBN:
Category : Aerodynamics, Supersonic
Languages : en
Pages : 304
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Author: Matthew D. Montgomery
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ISBN:
Category :
Languages : en
Pages : 40
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Author: K. Badcock
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ISBN:
Category :
Languages : en
Pages :
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Author: Timo Siikonen
Publisher:
ISBN: 9789517544573
Category :
Languages : en
Pages : 23
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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