Evaluation of Truncation Error and Adaptive Grid Generation for the Transonic Full Potential Flow Calculations PDF Download
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Author:
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ISBN:
Category :
Languages : en
Pages : 42
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 42
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 244
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Author: K. G. Brown
Publisher:
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Category :
Languages : en
Pages : 77
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Book Description
A new approach for the generation of flow-adaptive grids for numerical solution of fluid dynamics problems is presented. However, the method is applicable to the numerical evaluation of any partial differential equation. The dynamic coupling of the grid with the flow solution is accomplished through a grid-optimization technique. The optimization is based on the minimization of the finite difference truncation error in the transformed plane. The method is tested on the one-dimensional Burgers' equation which is representative of typical fluid dynamics problems. Burgers' equation is solved with an optimized SOR (Successive Over Relaxation) method using upwind difference for the convective term. Results are presented for various Reynolds numbers and are compared to results from a similar adaptive grid method and to results for a static grid. They show the ability of the method to concentrate grid points high in gradient regions where large truncation errors occur. (Author).
Author: D. Nixon
Publisher:
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Category :
Languages : en
Pages : 12
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This report summarizes work concerned with some topics connected with a transonic flow theory and also some problems in adaptive mesh procedures. The work on adaptive mesh procedures is concerned with the development of adaptive mesh strategies and solution procedures for highly clustered adaptive meshes. It has been found that the strong conservation law form of the governing equations in computational variables cannot capture the shock waves correctly for arbitrary clustering. Methods for correcting this problem have been investigated. The work on transonic flow theory is concerned with the existence of multiple solutions in full potential calculations. Since the full potential equation is difficult to analyze compared with small disturbance equation, multiple solutions have been found using transonic small disturbance theory. These results have been analyzed using the transonic integral equation theory and indicate that the transonic potential theory is not formulated uniquely.
Author: Kirti N. Ghia
Publisher:
ISBN:
Category : Curvilinear coordinates
Languages : en
Pages : 234
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Author:
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ISBN:
Category :
Languages : en
Pages : 268
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Author: Gabriel Mark Solomon
Publisher:
ISBN:
Category : Aerodynamics, Supersonic
Languages : en
Pages : 234
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Author: Joe F. Thompson
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 946
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Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781723401305
Category :
Languages : en
Pages : 26
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Book Description
The clustering algorithm is controlled by a second-order, ordinary differential equation which uses the airfoil surface density gradient as a forcing function. The solution to this differential equation produces a surface grid distribution which is automatically clustered in regions with large gradients. The interior grid points are established from this surface distribution by using an interpolation scheme which is fast and retains the desirable properties of the original grid generated from the standard elliptic equation approach. Nakamura, S. and Holst, T. L. Ames Research Center NASA-TM-81330, A-8733 NCA2-OR565-901
Author: Steven Charles Caruso
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 230
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Book Description
The adaptive grid techniques are described for elliptic fluid flow problems. The method is an extension of a local refinement technique developed by Berger for systems of hyperbolic equations. Local refined grids are overlaid on a coarser base grid. Recursive use of this technique allows an arbitrary degree of grid refinement. Two classes of elliptic flows are identified; they are characterized as having strong or weak viscous inviscid interactions. Adaptive solution strategies, active and passive, respectively, are developed for each class. The SIMPLER method is used to solve the steady, laminar, incompressible Navier Stokes equations. Central differencing of the convective terms is implemented with the defect-correction method to stabilize the solution method for all cell Reynolds numbers. Uniform grid calculations are performed for the laminar backstep flow. Richardson estimated solution and truncation errors are compared to accurate estimates of the same quantities for the backstep flow. The solution error is well predicted. The truncation error estimates are less accurate, but the reliably indicate where grid refinement is required. Active adaptive calculations of the backstep are made, using boundary aligned refinement.
