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Sunday, July 12, 2020 | History

4 edition of Three-dimensional elliptic grid generation found in the catalog.

Three-dimensional elliptic grid generation

Daniel James Hall

Three-dimensional elliptic grid generation

by Daniel James Hall

  • 369 Want to read
  • 14 Currently reading

Published by National Library of Canada in Ottawa .
Written in English


Edition Notes

Thesis (M.A.Sc.)--University of Toronto, 1992.

SeriesCanadian theses = Thèses canadiennes
The Physical Object
FormatMicroform
Pagination2 microfiches : negative.
ID Numbers
Open LibraryOL14711997M
ISBN 100315740361
OCLC/WorldCa219281734

The theoretical foundations of elliptic grid generation owe much to the theory of conformal mappings, which preceded it by several decades. In fact, the main impetus for the development of elliptic methods was the lack of versatility in the construction of conformal maps and the inability to control the distribution of gridpoints in the. Ribbens C () A fast adaptive grid scheme for elliptic partial differential equations, ACM Transactions on Mathematical Software (TOMS), , (), Online publication date: 1-Sep Kennon S and Dulikravich G A comparison of grid generation techniques Proceedings of ACM Fall joint computer conference, ().

Get this from a library! Three-dimensional elliptic grid generation technique with application to turbomachinery cascades. [Shyh-ching Chen; J R Schwab; United States. National Aeronautics and Space Administration.]. Elliptic Systems and Numerical Transformations. J. Math. Anal. App. v 52 Google Scholar; 3. TOMCAT ¿ A Code for Numerical Generation of Boundary-Fitted Curvilinear Coordinate Systems on Fields Containing any Number of Arbitrary Two-Dimension l Bodies. Journal of Computational Physics. v Google Scholar; : F ThompsonJoe.

Described is a numerical method for generating 3-D grids for turbomachinery computational fluid dynamic codes. The basic method is general and involves the solution of a quasi-linear elliptic partial differential equation via pointwise relaxation with a local relaxation factor. It allows specification of the grid point distribution on the boundary surfaces, the grid spacing off the boundary. Elliptic grid generation methods for the construction of surface grids are discussed. An improved elliptic surface grid generation method for parametric surfaces will be presented.


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Three-dimensional elliptic grid generation by Daniel James Hall Download PDF EPUB FB2

Books. AIAA Education Series; Library of Flight; Three-dimensional elliptic grid generations using a multi-block method. Three-dimensional grid generation using elliptic equations with direct grid distribution control. SHIEH; 21st Aerospace Sciences Meeting August 6th Computational Fluid Dynamics Conference Danvers.

The proposed method is superior to other methods of grid generation such as algebraic and hyperbolic techniques in that the grids obtained here are C^2 continuous, whereas simple elliptic smoothing of algebraic or hyperbolic grids to enforce C^2 continuity destroys the grid clustering near the : K KaulUpender.

A general three-dimensional elliptic grid generation system on a composite block structure Computer Methods in Applied Mechanics and Engineering, Vol. Three-dimensional elliptic grid generation book, No. Evaluation of a research circulation control airfoil using Navier-Stokes methodsCited by: In two dimensions elliptic grid generation can be in correspondence with heat transfer in a long thin fin, where the appropriate boundary constraints to the Laplacian yield a non-degenerate solution.

Ziebarth, J.P., "Three-Dimensional Grid Generation Through Elliptic Partial Differential Equationsn, Ph.D. Dissertation, Mississippi State University, December 1 Warsi, Z.U.A., "Generation of Three-Dimensional Grids Through Elliptic Differential Equationn.

A fully automated three-dimensional elliptic grid generation method has been developed and demonstrated for the three-dimensional MSL aeroshell and canopy geometries as well as the tension cone IAD. The present method has also been demonstrated for a three-dimensional convex geometry defined by: Generating elliptic grids in three dimensions by a method of false transients E.

Ly ∗D. Norrison 2 November Abstract A finite difference method based scheme incorporating a method of false transients and an approximate factorisation technique is pre-sented for solution of a system of Poisson’s equations used for grid gen-eration. tions). These grids are then connected to form a nal three dimensional, boundary tted, OH-type grid over the tailplane.

Elliptic grid systems In the xz-plane, the mapping process from the physical coordinates r = (x;z) to the computational coordinates # = (˘;) is described by the relationCited by: 2.

NASA Technical Memorandum Three-Dimensional Elliptic Grid Generation Technique With Application to Turbomachinery Cascades - (hASA-TM)!IbRIE-DZfiEb~lCNAL ELLIPlIPC ~t3d-x~ 78 GfiAD GEBERA’IZCN ‘IICbNICUE h1IL Bf€LICATXCH 1C TUiiECCACHlhE6Y CASCILCES (CAZA) 20 p CSCL 20u Unclas G3/34 0 16 S.C.

Chen Sverdrup Technology, Size: KB. Elliptic Grid Generation – MAE University of Virginia, RJRibando 3 distribute the x values between the trailing edge and the outer boundary. Once you have mapped the boundaries to the computational plane, use the subroutine to fill in interior values using transfinite interpolation, a two-dimensional form of linear interpolation.

The book also reviews the literature on algebraic, conformal, orthogonal, hyperbolic, parabolic, elliptic, biharmonic, and variational approaches to grid generation. This unique volume closes with the author's original methods of variational grid : Hardcover.

A general Three-Dimensional Elliptic Grid Generation System on a Composite Grid Structure. Computer Methods in Applied Mechanics and Engineerpp. Computer Methods in Applied Mechanics and Engineerpp. Cited by: 1. Previous article. in issue.

Next article. in issue. Published by Elsevier Science Publishing Company, Inc. NUMERICAL GRID GENERATION Joe F. Thompson, editor THREE DIMENSIONAL GRID GENERATION USING BIHARMONICS *+ * *+ G.R. SHUBIN, A.B. STEPHENS, AND J.B. BELL *Naval Surface Weapons Center, Silver Spring, Maryland +Current address: Exxon Production Cited by: 2.

American Institute of Aeronautics and Astronautics Sunrise Valley Drive, Suite Reston, VA Cited by: 1. Semiunstructured Grids A practical grid for high Reynolds number viscous flow applications could be formed as follows.

From a body boundary surface grid (= 0, lines can be radiated outward by marching hyperbolic grid generation equations from one A(-plane to the next so as to form a three-dimensional grid File Size: KB.

A two-dimensional form of elliptic system can be written as: gr~6- orb) + gii(r,7,7 - qirn) 2gi2E6?7 0 (1) where r = (x, y) physical space computational space Elliptic Grid Generation System gll=r6'rc=x2+y2 9 12 = EC ' rn = x~ x,7 + w y, 2 2 = r, ' r, = x7, + y, qj control functions The usual practice is to assume orthogonality [13], i.e., =rg'r,-0 and by taking the dot product of [1] by r, we obtain Cited by: The most simple elliptic partial differential system, and one that does exhibit an extremum principle and considerable smoothness, is the Laplace system O2~ = 0 (la) o2n = 0 (lb) This generation system guarantees a one-to-one mapping, c.f., Mastin & Thompson2, for boundary-conforming curvilinear coordinate systems on general closed boundaries.

81 With this generating system the coordinate lines Cited by:   A general three-dimensional elliptic grid generation system on a composite block structure Computer Methods in Applied Mechanics and Engineering, Vol.

64, No. Three dimensional mesh generation by triangulation of arbitrary point setsCited by: Part of the Communications in Computer and Information Science book series (CCIS, volume 98) Abstract. Mesh generation is the precondition of finite element analysis. Thompson, J.F.: A General Three-Dimensional Elliptic Grid Generation System on a Composite Block Structure.

Three-Dimensional Mesh Generation for Human Heart Model. In: Li Cited by: 3. Published by E1seVier Science Publishing Company, Inc.

NUMERICAL GRID GENERATION Joe F. Thompson, editor Not copyrighted. Unrestricted free use is granted by Lockheed Missiles s Space Company, Inc. NUMERICAL GENERATION OF COMPOSITE THREE DIMENSIONAL GRIDS BY QUASILINEAR ELLIPTIC SYSTEMS* P. THOMASt tStaff Scientist, Applied Mechanics Laboratory, Cited by: 7.

Algebraic grid generation method based on transfinite interpolation called the two-boundary and four-boundary methods are used to generate grids for two and three-dimensional spatial domains with complex arbitrary geometries.Meshes Generated by Elliptic Equations.

Three-Dimensional Grid Generation Using Elliptic Equations with Direct Grid Distribution Control. Direct control of the grid point distribution in meshes generated by elliptic equations >for solution of Navier-Stokes nozzle by: A new volume grid generator, 3DMAGGS (Three-Dimensional Multi-Block Advanced Grid Generation System), which is based on the 3DGRAPE code, has evolved to meet these needs.