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First-Order Comprehensive Adjoint Method For Computing Operator-Valued Response Sensitivities To Imprecisely Known Parameters, Internal Interfaces And Boundaries Of Coupled Nonlinear Systems: Ii. Application To A Nuclear Reactor Heat Removal Benchmark, Dan Gabriel Cacuci

Faculty Publications

This work illustrates the application of a comprehensive first-order adjoint sensitivity analysis methodology (1st-CASAM) to a heat conduction and convection analytical benchmark problem which simulates heat removal from a nuclear reactor fuel rod. This analytical benchmark problem can be used to verify the accuracy of numerical solutions provided by software modeling heat transport and fluid flow systems. This illustrative heat transport benchmark shows that collocation methods require one adjoint computation for every collocation point while spectral expansion methods require one adjoint computation for each cardinal function appearing in the respective expansion when recursion relations cannot be developed between the corresponding …