Comparison of analytical and variational solutions of steady-state neutron-diffusion problems |
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| Authors: | C.E. Lee W.C.P. Fan R.L. Bratton |
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| Affiliation: | Department of Nuclear Engineering, Texas A&M University, College Station, TX 77843, U.S.A. |
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| Abstract: | Classical variational techniques are used to obtain accurate solutions to the multigroup multiregion 1-D steady-state neutron-diffusion equation. Analytic solutions are constructed for benchmark verification. Functionals with cubic trial functions and conservational Lagrangian constraints are developed and compared with non-conservational functionals. Eigenvalues, neutron balance and relative flux and current values at interfaces are compared to exact analytical results. Excellent agreement is obtained with conservational functionals using cubic trial functions in comparisons with analytic solutions. |
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| Keywords: | To whom all correspondence should be addressed. |
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