Numerical codes are important in providing solutions to partial differential equations in many areas, such as the heat transfer problem. However, verification of these codes is critical. A methodology is presented in this work as an intrinsic verification method (IVM) to the solution to the partial differential equation. Derivation of the dimensionless form of scaled sensitivity coefficients is presented, and the sum of scaled sensitivity coefficients is used in the dimensionless form to provide a method for verification. Intrinsic verification methodology is demonstrated using examples of heat transfer problems in Cartesian and cylindrical coordinate. The IVM presented here is applicable to analytical as well as numerical solutions to partial differential equations.
Use of Scaled Sensitivity Coefficient Relations for Intrinsic Verification of Numerical Codes and Parameter Estimation for Heat Conduction
Manuscript received June 23, 2016; final manuscript received November 14, 2017; published online November 29, 2017. Editor: Ashley F. Emery.
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Mishra, D. K., Dolan, K. D., Beck, J. V., and Ozadali, F. (November 29, 2017). "Use of Scaled Sensitivity Coefficient Relations for Intrinsic Verification of Numerical Codes and Parameter Estimation for Heat Conduction." ASME. J. Verif. Valid. Uncert. September 2017; 2(3): 031005. https://doi.org/10.1115/1.4038494
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