Development and implementation of sensitivity coefficient equations for heat conduction problems
- Sandia National Labs., Albuquerque, NM (United States). Engineering Sciences Center
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 solving the resulting sensitivity equations numerically. An example problem in which there are 12 parameters of interest is presented and the resulting sensitivity equations and associated boundary/initial conditions are derived. The sensitivity equations are implemented in a general-purpose unstructured-grid control-volume finite-element code. 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 sensitivity method is second-order accurate as the mesh is refined spatially.
- Research Organization:
- Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC04-94AL85000
- OSTI ID:
- 687478
- Journal Information:
- Numerical Heat Transfer. Part B, Fundamentals, Vol. 36, Issue 1; Other Information: PBD: Jul-Aug 1999
- Country of Publication:
- United States
- Language:
- English
Similar Records
Sensitivity analysis for nonlinear heat conduction
Application of sensitivity coefficients for heat conduction problems