Tensors and Differential Geometry Applied to Analytic and Numerical Coordinate Generation
Abstract
The two main objectives of this monograph are, (1) to present and collect at one place some important classical results and concepts from the theories of tensor analysis and differential geometry, and (2) to use the presented results in devising differential models for generating coordinates in arbitrarily bounded regions. Though most of the discussions on tensors and differential geometry are in the context of curvilinear coordinate generation, the first two parts can profitably be used for applied problems in various branches of engineering both by students and researchers. The last part of the monograph is concerned with the development of two methods, based on differential equations, for the generation of coordinates. The selected models are based on elloptic partial differential equations which can be solved on a computer to provide smooth differentiable coordinate curves in the region of interest.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1981
- Accession Number
- ADA096419
Entities
People
- Z. U. Warsi
Organizations
- Mississippi State University