Resume

• 2000

  Doctor of Philosophy (Ph.D.)

  Nuclear Engineering

  North Carolina State University

• Matlab

  Sensitivity Analysis

  Fortran

  Data Analytics

  Engineering

  Simulations

  Reduced Order Modeling

  Monte Carlo Simulation

  Computational Science

  Mathematical Modeling

  Physics

  Uncertainty Analysis

  Experimentation

  Nuclear Reactor Physics

  Model Validation

  Scientific Computing

  Numerical Analysis

  Data Assimilation

  Research

  Big Data

  Probabilistic Error Bounds for Reduced Order Modeling

  generalized perturbation theory-free sensitivity analysis for eigenvalue problems

  generalized perturbation theory (gpt) has been recognized as the most computationally efficient approach for performing sensitivity analysis for models with many input parameters

  which renders forward sensitivity analysis computationally overwhelming. in critical systems

  gpt involves the solution of the adjoint form of the eigenvalue problem with a response-dependent fixed source. although conceptually simple to implement

  most neutronics codes that can solve the adjoint eigenvalue problem do not have a gpt capability unless envisioned during code development. we introduce in this manuscript a reduced-order modeling approach based on subspace methods that requires the solution of the fundamental adjoint equations but allows the generation of response sensitivities without the need to set up gpt equations

  and that provides an estimate of the error resulting from the reduction. moreover

  the new approach solves the eigenvalue problem independently of the number or type of responses. this allows for an efficient computation of sensitivities when many responses are required. this paper introduces the theory and implementation details of the gpt-free approach and describes how the errors could be estimated as part of the analysis. the applicability is demonstrated by estimating the variations in the flux distribution everywhere in the phase space of a fast critical more » sphere and a high-temperature gas-cooled reactor prismatic lattice. the variations generated by the gpt-free approach are benchmarked to the exact variations generated by direct forward perturbations. « less

  generalized perturbation theory-free sensitivity analysis for eigenvalue problems

  Hany

  Abdel-Khalik

  Purdue University

  Purdue University