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3 edition of Three-dimensional adaptive grid generation for body-fitted coordinate system found in the catalog.

Three-dimensional adaptive grid generation for body-fitted coordinate system

Shyh-ching Chen

Three-dimensional adaptive grid generation for body-fitted coordinate system

by Shyh-ching Chen

  • 99 Want to read
  • 39 Currently reading

Published by National Aeronautics and Space Administration, For sale by the National Technical Information Service in [Washington, DC], [Springfield, Va .
Written in English

    Subjects:
  • Numerical grid generation (Numerical analysis),
  • Turbomachines.

  • Edition Notes

    Other titlesThree dimensional adaptive grid generation for body fitted coordinate system.
    StatementS. C. Chen.
    SeriesNASA contractor report -- 182192., NASA contractor report -- NASA CR-182192.
    ContributionsUnited States. National Aeronautics and Space Administration.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15281963M

    3. ADAPTIVE GRID GENERATION STRATEGIES The most simple coordinate transformation in this concept is the σ-coordinate with with J = D = ζ + H, first introduced to the modelling of natural waters by Freeman et al. (). Other, more complex coordinates are the near-bed transformation by de Kok (), the s-coordinate by Song and HaidvogelFile Size: 2MB. [X,Y] = meshgrid(x,y) returns 2-D grid coordinates based on the coordinates contained in vectors x and y. X is a matrix where each row is a copy of x, and Y is a matrix where each column is a copy of grid represented by the coordinates X .

    grid which does not conform to the immersed boundaries. This greatly simplifies grid generation task and also retains the relative simplicity of the governing equations in Cartesian coordinates. In addition, this method also has a significant advantage over the conventional body-fittedFile Size: KB. • Homogeneous Coordinates use one additional dimension than the space we want to represent • 2D space: where w is the new coordinate that corresponds to w the extra dimension; w ≠ 0 • Fixing w=1 maintains our original dimensionality by taking slice w=1 • In 2D we use the plane w=1 instead of the xy-plane Homogeneous Coordinates x yFile Size: 1MB.

    @article{osti_, title = {Fast generation of 2-D and 3-D body-fitted grids with automatic clustering technique}, author = {Qiusheng, Liu and Yannongt, Zeng and Hongbin, Ju}, abstractNote = {A new method for numerically generating boundary-fitted coordinate systems in arbitrary shape three-dimensional region is presented. In the method, the control of the coordinate . Construction ofadaptive grid generators is nowan area ofintense research activity, an activity that finds much of its motivation and application in computational fluid dynamics. A fairly common theme in methods used for adaptive grid generation is the idea ofequidis-.


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Three-dimensional adaptive grid generation for body-fitted coordinate system by Shyh-ching Chen Download PDF EPUB FB2

This report describes a numerical method for generating 3-D grids for general configurations. The basic method involves the solution of a set of quasi-linear elliptic partial differential equations via pointwise relaxation with a local relaxation : S.

Chen. Get this from a library. Three-dimensional adaptive grid generation for body-fitted coordinate system. [S C Chen; United States. National Aeronautics and Space Administration.]. THREE~DIMENSIONAL ADAPTIVE GRID GENERATION FOR BODY-FITTED COORDINATE SYSTEM 1.

SUMMARY S. Chen Sverdrup Technology, Inc. NASA Lewis Research Center Group Cleveland, Ohio This report describes a numerical method for generating three­ dimensional grids for general configurations.

The basic method involves. 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 of theFile Size: KB.

Figure 2: Slice of a 3D adaptive grid around a bubble (marked by the shaded region), with approximat grid cells and grid resolution around the interface equivalent to 80x80x80 uniform Cartesian grid. Our Cartesian grid generation technique is based on the works of Aftosmis16 and Ham et al AnCited by: Adaptive grid generation.

A review of adaptive grid generation is presented with an emphasis on the basic concepts and the interrelationship between the. In this paper, we develop a three-dimensional adaptive method based on iterative grid redistribution technique introduced in [J.

Comput. Phys. () ]. The key step for the successful implementation is a fast algorithm for grid generation, which is composed of solving the linear grid equation systems and an efficient method for Cited by: The Generation of Three-Dimensional Body-Fitted Coordinate Systems For Viscous Flow Problems By Z.

Warsi, C. Mastin and J. Thompson Abstract-The proposed set of equations (refer to the enclosed papers for detail) which generate a series of surfaces between a given inner and outer body, have been programed on : Z U A Warsi, C W Mastin, J F Thompson.

Grid generation continues to be a huge impediment for computer simulations of realistic fluid flows. This is true for both body-fitted structured grid solvers and unstructured grid ap-proaches. We are developing a Cartesian grid representation of the geometry, where the object is simply "cut" out of the Cartesian : Marsha Berger.

Three-dimensional adaptive coordinates The overall aim of this section is to obtain three-dimensional adaptive coordinate transforma-tion of the form in Eqs.

(1) and (2) for our system depicted in Fig. Since three-dimensional meshing is a complex procedure, the discussion is structured the following way: First, an ex. Request PDF | On Jan 1,Vladimir D. Liseikin and others published Grid Generation Through Differential Systems | Find, read and cite all the research you need on ResearchGate.

generation front. Details of the grid generation algorithm are given, together with examples and timings. KEY WORDS Three-dimensional unstructured grids Advancing-front technique Grid generation 1. INTRODUCTION In recent years a wide variety of algorithms has been devised for the generation of unstructured grids around complex geometrical by: Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies.

Journal of Computational Physics, 15, – ADS CrossRef zbMATH Google ScholarAuthor: Vladimir D. Liseikin. The generation of three‐dimensional unstructured grids using the advancing‐front technique is described. This technique has been shown to be effective for the generation of unstructured grids in two dimensions.

1,2 However, its extension to three‐dimensional regions required algorithms to define the surface and suitable data structures that avoid excessive CPU‐time overheads for. The concepts of adaptive coordinates and adaptive spatial resolution have proved to be a valuable tool to improve the convergence characteristics of the Fourier Modal Method (FMM), especially for metallo-dielectric systems.

Yet, only two-dimensional adaptive coordinates were used so far. This paper presents the first systematic construction of three-dimensional adaptive coordinate and adaptive.

The examples presented in this section begin with a three-dimensional grid generated on an arc-extruded horseshoe domain. Variants of the horseshoe mesh were demonstrated to be challenging test problems for various two-dimensional approaches.One of the more difficult aspects of this domain is the boundary curvature at the upper-left and upper-right areas of the 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. Evaluation of a research circulation control airfoil using Navier-Stokes methodsCited by: Grid Generation and Adaptive Algorithms (The IMA Volumes in Mathematics and its Applications) Softcover reprint of the original 1st ed. Edition. by Marshall (Author), Joseph ty (Contributor), Mitchell Luskin (Contributor)Format: Paperback.

Abstract. This paper presents a methodology and solution procedure of the time-dependent body-fitted coordinate (BFC) method for the analysis of transient, three-dimensional groundwater flow problems characterized by free and moving boundaries.

The technique consists of numerical grid generation, time-dependent body-fitted coordinate transformation Cited by: In order to avoid the complexity of the body fitted numerical grid generation procedure, we use a saw tooth method for the curvilinear geometry approximation.

The refinement method is based on the use of a sequence of nested rectangular meshes in which numerical simulation is. Direct Control of the Grid Point Distribution in Meshes Generated by Elliptic Equations.

A numerical procedure for the generation of orthogonal body-fitted co-ordinate systems with direct determination of grid points on the boundary.

Three-Dimensional Grid Generation Using Elliptic Equations with Direct Grid Distribution by: Elliptic Grid Generation • The grid generation problem can be considered as a boundary-value problem, where the boundary conditions (namely, values of x and y) are known everywhere along the boundary.

Given x = x b(ξ, η) and y = y b(ξ, η) on the boundary ∂R. Generate x = x(ξ, η) and y = y (ξ, η) in the region R bounded by ∂R.grid front generation (Objective 2) Development of explicit grid resolution control method (Objective 3) Extension of body-fitted Cartesian grid method to narrow gap geometry In section II, process overview of body-fitted Cartesian grid method is described and background for each objectives are also given.

In section III.