Accession Number : ADA130809
Title : Nonlinear Inverse Heat Transfer Calculations in Gun Barrels.
Descriptive Note : Interim rept. 15 Jul 82-15 Jul 83,
Corporate Author : NATIONAL BUREAU OF STANDARDS WASHINGTON DC CENTER FOR APPLIED MATHEMATICS
Personal Author(s) : Carasso,Alfred S
PDF Url : ADA130809
Report Date : 15 Jul 1983
Pagination or Media Count : 30
Abstract : We consider the problem of determining the temperature history inside a gun barrel from embedded thermocouple measurements at some distance away from the inside wall. This inverse problem leads to an improperly posed initial value problem for a nonlinear system of partial differential equations, whenever the thermal properties are temperature dependent. We discuss a step-by-step marching algorithm for the numerical computation of such problems. The scheme is stabilized by appropriately filtering in the frequency domain at each step. We illustrate this technique with a numerical experiment on a nonlinear problem whose exact solution is known. The basic ideas are applicable to other unstable evolution equations.
Descriptors : *Nonlinear analysis, *Heat transfer, *Gun barrels, *Interior ballistics, Conduction(Heat transfer), Thermocouples, Temperature, Measurement, Diffusion, Partial differential equations, Algorithms, Numerical analysis, Boundary value problems, Problem solving, Frequency, Time intervals
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE