Applications Of Mesh Generation To Complex 3 D Configurations
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Applications of Mesh Generation to Complex 3-D Configurations
Author: North Atlantic Treaty Organization. Advisory Group for Aerospace Research and Development. Fluid Dynamics Panel. Specialists' Meeting
language: en
Publisher:
Release Date: 1990
The AGARD Fluid Dynamics Panel sponsored this Symposium to provide a survey of the capabilities of the CFD community for griding complex 3-D configurations. The intent was to provide some insight to the present state of grid generation for complex configurations to help assess whether this task presents a long-term stumbling block to the routine use of CFD in aerodynamic applications. To this end, the meeting was structured in five sessions: General Surveys, Algebraic Grid Generation, Block Structured Meshes, Multiblock-Adaptive Meshes and Unstructured Meshes. Thwenty-two papers from these sessions amply gemonstrated that the viability of a numerical solution depends directly on the quality of the mesh and surface representation as measured by its spacing and resolution. Of Particular interest was the mesh generation for complex configurations, such as advanced fighter or transport aircraft, missiles and space vehicles, where complex geometries and/or complex flowfields have to be analysed. Results from this meeting indicate that geometry discretization and generation of meshes for complex 3-D configurations in aerospace will continue to be time- and cost-consuming operations fro some time to come.
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A Computational Differential Geometry Approach to Grid Generation
Author: Vladimir D. Liseikin
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-14
Grid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics. New achievements are being added by the creation of more sophisticated techniques, modification of the available methods, and implementation of more subtle tools as well as the results of the theories of differential equations, calculas of variations, and Riemannian geometry being applied to the formulation of grid models and analysis of grid properties. The development of comprehensive differential and variational grid gen eration techniques reviewed in the monographs of J. F. Thompson, Z. U. A. Warsi, C. W. Mastin, P. Knupp, S. Steinberg, V. D. Liseikin has been largely based on a popular concept in accordance with which a grid model realizing the required grid properties should be formulated through a linear combina tion of basic and control grid operators with weights. A typical basic grid operator is the operator responsible for the well-posedness of the grid model and construction of unfolding grids, e. g. the Laplace equations (generalized Laplace equations for surfaces) or the functional of grid smoothness which produces fixed nonfolding grids while grid clustering is controlled by source terms in differential grid formulations or by an adaptation functional in vari ational models. However, such a formulation does not obey the fundamental invariance laws with respect to parameterizations of physical geometries. It frequently results in cumbersome governing grid equations whose choice of weight and control functions provide conflicting grid requirements.