Effect of random perturbations on adaptive observation techniques
his article was published in the International Journal for Numerical Methods in Fluids [© 2011 John Wiley & Sons, Ltd.] and the definite version is available at : http://dx.doi.org/10.1002/fld.2545 The Journal's website is at:http://onlinelibrary.wiley.com/doi/10.1002/fld.2545/abstract
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© 2012 John Wiley & Sons, Ltd.
2016
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| גישה מקוונת: | http://hdl.handle.net/10361/7076 http://dx.doi.org/10.1002/fld.2545 |
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10361-70762016-12-01T10:16:56Z Effect of random perturbations on adaptive observation techniques Hossen, M. J. Navon, Ionel Michael Dǎescu, Dacian N. Department of Mathematics and Natural Sciences, BRAC University Adaptive observations Adjoint sensitivity Automatic differentiation Forecast error Hessian matrix Observation sensitivity his article was published in the International Journal for Numerical Methods in Fluids [© 2011 John Wiley & Sons, Ltd.] and the definite version is available at : http://dx.doi.org/10.1002/fld.2545 The Journal's website is at:http://onlinelibrary.wiley.com/doi/10.1002/fld.2545/abstract An observation sensitivity (OS) method to identify targeted observations is implemented in the context of four-dimensional variational (4D-Var) data assimilation. This methodology is compared with the well-established adjoint sensitivity (AS) method using a nonlinear Burgers equation as a test model. Automatic differentiation software is used to implement the first-order adjoint model (ADM) to calculate the gradient of the cost function required in the 4D-Var minimization algorithm and in the AS computations and the second-order ADM to obtain information on the Hessian matrix of the 4D-Var cost that is necessary in the OS computations. Numerical results indicate that the observation-targeting is particularly successful in reducing the forecast error for moderate Reynolds numbers. The potential benefits of the OS targeting approach over the AS are investigated. The effect of random perturbations on the performance of these adaptive observation techniques is also analyzed. Published 2016-12-01T10:15:02Z 2016-12-01T10:15:02Z 2012-05-10 Article Hossen, M. J., Navon, I. M., & Daescu, D. N. (2012). Effect of random perturbations on adaptive observation techniques. International Journal for Numerical Methods in Fluids, 69(1), 110-123. doi:10.1002/fld.2545 02712091 http://hdl.handle.net/10361/7076 http://dx.doi.org/10.1002/fld.2545 en http://onlinelibrary.wiley.com/doi/10.1002/fld.2545/abstract © 2012 John Wiley & Sons, Ltd. |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Adaptive observations Adjoint sensitivity Automatic differentiation Forecast error Hessian matrix Observation sensitivity |
| spellingShingle |
Adaptive observations Adjoint sensitivity Automatic differentiation Forecast error Hessian matrix Observation sensitivity Hossen, M. J. Navon, Ionel Michael Dǎescu, Dacian N. Effect of random perturbations on adaptive observation techniques |
| description |
his article was published in the International Journal for Numerical Methods in Fluids [© 2011 John Wiley & Sons, Ltd.] and the definite version is available at : http://dx.doi.org/10.1002/fld.2545 The Journal's website is at:http://onlinelibrary.wiley.com/doi/10.1002/fld.2545/abstract |
| author2 |
Department of Mathematics and Natural Sciences, BRAC University |
| author_facet |
Department of Mathematics and Natural Sciences, BRAC University Hossen, M. J. Navon, Ionel Michael Dǎescu, Dacian N. |
| format |
Article |
| author |
Hossen, M. J. Navon, Ionel Michael Dǎescu, Dacian N. |
| author_sort |
Hossen, M. J. |
| title |
Effect of random perturbations on adaptive observation techniques |
| title_short |
Effect of random perturbations on adaptive observation techniques |
| title_full |
Effect of random perturbations on adaptive observation techniques |
| title_fullStr |
Effect of random perturbations on adaptive observation techniques |
| title_full_unstemmed |
Effect of random perturbations on adaptive observation techniques |
| title_sort |
effect of random perturbations on adaptive observation techniques |
| publisher |
© 2012 John Wiley & Sons, Ltd. |
| publishDate |
2016 |
| url |
http://hdl.handle.net/10361/7076 http://dx.doi.org/10.1002/fld.2545 |
| work_keys_str_mv |
AT hossenmj effectofrandomperturbationsonadaptiveobservationtechniques AT navonionelmichael effectofrandomperturbationsonadaptiveobservationtechniques AT daescudaciann effectofrandomperturbationsonadaptiveobservationtechniques |
| _version_ |
1814309756879241216 |