scholarly journals Error Estimation of Numerical Solutions of One-dimensional Burgers Equation by Adjoint Sensitivity Analysis Method

2005 ◽  
Vol 71 (709) ◽  
pp. 2256-2263
Author(s):  
Nobuatsu TANAKA ◽  
Yasunori MOTOYAMA
1984 ◽  
Vol 106 (4) ◽  
pp. 425-429 ◽  
Author(s):  
E. Wacholder ◽  
J. Dayan

Although the concepts of various types of ejectors have been thoroughly discussed in the literature during the past sixty years, a rigorous sensitivity analysis of the ejector’s performance has never been presented. In the present work a sensitivity analysis method, based on the use of adjoint functions, is introduced and applied to the one-dimensional model of a supersonic ejector. The advantage of the proposed method over all other possible techniques is that a single computer run can provide the response function sensitivities with respect to all input parameters. The usefulness of the sensitivity coefficients in predicting the ejector’s performance and the uncertainty involved, as well as in the determination of manufacturing tolerances, is demonstrated and proven to be a powerful tool in the design.


1998 ◽  
Vol 120 (4) ◽  
pp. 391-394
Author(s):  
H. A. Jensen ◽  
A. O. Cifuentes

This technical note presents a global sensitivity analysis method for the dynamic response of electronic systems considering several design parameters at the same time. The method is an extension of a previous method presented by the authors for the one-dimensional case (only one design variable at a time was considered subjected to uncertainty). The method is expected to be useful in the design, analysis and qualification of electronic components.


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