Dimensional Analysis in Mathematical Modeling Systems a Simple Numerical Method
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Authors
Bhargava, Hemant K.
Subjects
Dimensional Analysis, Model Management
Advisors
Date of Issue
1991-02
Date
1991-02
Publisher
Monterey, California. Naval Postgraduate School
Language
eng
Abstract
This paper discusses dimensional manipulation, essentially a problem requiring symbolic techniques, using a numerical method obeys the laws of dimensional arithmetic. This is achieved by specifying an encoding of units of measurement as prime numbers, and manipulating the resulting expressions numerically. The unique factorization theorem is applied to show that this method makes trivial the problems of dimensional simplification and verification of dimensional equivalency, which are central issues in dimensional arithmetic. The solution has immediate application in mathematical modeling system, chiefly in the model validation and model solution phases
Type
Technical Report
Description
Series/Report No
Department
Administrative Science
Identifiers
NPS Report Number
NPS-AS-91-010
Sponsors
Naval Postgraduate School, Monterey, California.
Funder
O&MN Direct Funding
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.