Sensitivity technologies for large scale simulation.
Sensitivity analysis is critically important to numerous analysis algorithms, including large scale optimization, uncertainty quantification,reduced order modeling, and error estimation. Our research focused on developing tools, algorithms and standard interfaces to facilitate the implementation of sensitivity type analysis into existing code and equally important, the work was focused on ways to increase the visibility of sensitivity analysis. We attempt to accomplish the first objective through the development of hybrid automatic differentiation tools, standard linear algebra interfaces for numerical algorithms, time domain decomposition algorithms and two level Newton methods. We attempt to accomplish the second goal by presenting the results of several case studies in which direct sensitivities and adjoint methods have been effectively applied, in addition to an investigation of h-p adaptivity using adjoint based a posteriori error estimation. A mathematical overview is provided of direct sensitivities and adjoint methods for both steady state and transient simulations. Two case studies are presented to demonstrate the utility of these methods. A direct sensitivity method is implemented to solve a source inversion problem for steady state internal flows subject to convection diffusion. Real time performance is achieved using novel decomposition into offline and online calculations. Adjoint methods are used to reconstruct initialmore »
- (Rice University, Houston, TX)
- (Brown University, Providence, RI)
- (Carnegie Mellon University, Pittsburgh, PA)
- (University of UppSala, Sweden)
- Publication Date:
- OSTI Identifier:
- Report Number(s):
- DOE Contract Number:
- Resource Type:
- Technical Report
- Research Org:
- Sandia National Laboratories
- Sponsoring Org:
- Country of Publication:
- United States
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; ALGORITHMS; FLUID FLOW; IMPLEMENTATION; MULTIPLE PRODUCTION; NEWTON METHOD; OPTIMIZATION; SENSITIVITY; SENSITIVITY ANALYSIS; SIMULATION; SPATIAL RESOLUTION Sensitivity analysis.; Uncertainty-Analysis.; Error analysis (Mathematics); Algorithms.
Enter terms in the toolbar above to search the full text of this document for pages containing specific keywords.