Development and implementation of sensitivity coefficient equations for heat conduction problems
Three different methods are discussed for computing the sensitivity of the temperature field to changes in material properties and initial-boundary condition parameters for heat conduction problems. The most general method is to derive sensitivity equations by differentiating the energy equation with respect to the parameter of interest and numerically solving the resulting sensitivity equations. An example problem in which there are twelve parameters of interest is presented and the resulting sensitivity equations are derived. Numerical results are presented for thermal conductivity and volumetric heat capacity sensitivity coefficients for heat conduction in a 2-D orthotropic body. The numerical results are compared with the analytical solution to demonstrate that the numerical method is second order accurate as the mesh is refined spatially.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 650317
- Report Number(s):
- SAND-98-0060C; CONF-980610-; ON: DE98004233; TRN: AHC2DT04%%230
- Resource Relation:
- Conference: ASME/AIAA joint thermophysics and heat transfer conference, Albuquerque, NM (United States), 15-18 Jun 1998; Other Information: PBD: 15 Dec 1997
- Country of Publication:
- United States
- Language:
- English
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Application of sensitivity coefficients for heat conduction problems
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