by National Aeronautics and Space Administration, Langley Research Center, For sale by the National Technical Information Service in Hampton, Va, [Springfield, Va .
Written in English
|Statement||Bonita V. Saunders.|
|Series||NASA contractor report -- 177968., NASA contractor report -- NASA CR-177968.|
|Contributions||Langley Research Center.|
|The Physical Object|
The treatment of structured grid generation starts with basic geometry and tensor analysis before moving on to identify the variety of approaches that can be employed in the generation of structured grids. The book then introduces unstructured grid generation by explaining the basics of Delaunay triangulation and advancing front by: We discuss the use of tensor product B-spline meshes to design accurate three dimensional graphs of high level B.V.: Algebraic grid generation using tensor product B-splines, NASA CR Wang Q. () Tensor Product B-Spline Mesh Generation for Accurate Surface Visualizations in the NIST Digital Library of Mathematical Functions. Cited by: 1. Topological considerations in structuring the grid generation mapping are discussed. The concept of the degree of a mapping and how it can be used to determine what requirements are necessary if a mapping is to produce a suitable grid is examined. The grid generation algorithm uses a mapping composed of bicubic : B. V. Saunders. • Bonita V. Saunders, Algebraic Grid Generation Using Tensor Product B-Splines, Ph.D. dissertation, Old Dominion University, Also, NASA contractor report: NASA CR , September Selected Talks Invited Lectures • B-Spline Mesh Generation, 3D Web Graphics, and the NIST Digital Library of MathematicalFile Size: KB.
The existence of a limiting grid (termed the “grid at infinity”) is demonstrated for Alternative II; it is shift invariant, and its form is not a tensor product. Finally, a way to exploit the translation property of such algebraic methods using the direct variational method is given. This paper discusses an algebraic mapping which uses tensor product B-splines to produce such a grid given the boundary description. Abstract--The development of an algebraic grid generation system to track a solid-liquid interface during directional solidification of a binary alloy is discussed. A single mapping, constructed with tensor product B-splines, is proposed for calculations of both shallow and deep solidification cells. The. The title, The Poor Man’s Introduction to Tensors, is a reference to Gravitation by Misner, Thorne and Wheeler, which characterizes simplified approaches to a problem as “the poor man’s way to do X.” Originally, these notes were.
directions, such a quantity is called Tensor. The stress at a point of an elastic solid is an example of a Tensor which depends on two directions one normal to the area and other that of the force on it. Tensors have their applications to Riemannian Geometry, Mechanics, Elasticity, Theory of Relativity,File Size: 1MB. Get this from a library! Algebraic grid generation using tensor product b-splines. [Bonita V Saunders; Langley Research Center.]. We have proposed a new algebraic grid generation method based on tensor product functions on sub-regions. The control points involved in the method are used to control the grid quality by optimal locations of some of them. This is achieved by using some optimization strategies based on grid Cited by: 2. tensor analysis. Many exercises are included in each volume. However, it is likely that teachers will wish to generate additional exercises. Several times during the preparation of this book we taught a one semester course to students with a very limited background in linear algebra and no background in tensor File Size: 1MB.