Adaptive Grid Techniques for Elliptic Fluid-flow Problems PDF Download
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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.
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.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Author: Dun Charles Liu
Publisher:
ISBN:
Category : Aerodynamics, Transonic
Languages : en
Pages : 502
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Book Description
Author: Ivo Babushka
Publisher: SIAM
ISBN: 9780898712421
Category : Mathematics
Languages : en
Pages : 382
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Book Description
"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.
Author: K. G. Brown
Publisher:
ISBN:
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: Yen Tu
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 204
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Book Description
A solution-adaptive grid generation procedure is developed and applied to three-dimensional inviscid transonic fluid flow around complex geometries using a composite block grid structure. The adaption is based upon control functions in an elliptic grid generation system. The control function is constructed in a manner such that a proper grid network can be generated as a fluid flow solution is evolving. The grid network is boundary-conforming for accurate representation of boundary conditions. The procedure implemented allows orthogonality at boundaries for more accurate computations, while smoothness is implicit in the elliptic equations. The approach allows multiple-block grid systems to be constructed to treat complex configurations as well. The solution-adaptive computational procedure has been accomplished by coupling the elliptic grid generation technique with an implicit, finite volume, upwind Euler flow solver. In simulating transonic fluid flow around a finned body of revolution and a multiple store configuration, the grid systems adapt to pressure gradients in the flow field. Results obtained show that the technique is capable of generating grid networks proper for the simulations of aerodynamics around complex configurations. Keywords: Computational fluid dynamics, Euler equations. (kr).
Author: John W. Slater
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Author: S. Sengupta
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 1128
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Book Description
Author: Stephen F. McCormick
Publisher: SIAM
ISBN: 9781611971026
Category : Mathematics
Languages : en
Pages : 171
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Book Description
A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques. It also contains new material, which is included to fill in certain gaps and to expose new avenues of research. Also, because adaptive refinement seems to demand a lot of attention to philosophical issues, personal perspectives are often brought freely into the discussion.
