vani cheruvu
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Vani Cheruvu |
During FY 2007 Vani Cheruvu mainly focused on the project adjoint sensitivity analysis for spectral-element based two-layered shallow water model in a limited domain.
Sensitivity analysis is defined as the determination of the potential impact on some quantitative measures of a forecast aspect due to arbitrary perturbations of the model dynamic fields at earlier times. It has many applications that include: examining model behavior, describing the relation between input and output, investigating the model forecast errors, highlighting initial or boundary fields and locations that are more likely to be responsible for an error. An understanding of the relationship between an objective function and flow conditions at all locations and times allows for action to be taken that leads to a minimization of the objective function. Adjoints are indispensable for efficiently solving several types of optimization problems, which includes sensitivity analysis. Vani is currently working with Dr. Tribbia on spectral element based two-layered shallow water model in a limited domain with non-reflecting boundary conditions.
Publications:
• Gregory Beylkin, Vani Cheruvu and Fernando Perez 2007: Fast adaptive algorithms in the non-standard form for multidimensional problems Applied and Computational Harmonic Analysis (in press).
• Vani Cheruvu and Jennifer Ryan 2007: A multi-wavelet type limiter for discontinuous Galerkin approximations (submitted).
Presentations:
• A nodal high-order Spectral Finite Volume transport model on the cubed-sphere Math Colloquium, Virginia Polytechnic Institute and State Univ., October 2006.
• High-order methods in atmospheric modeling MACS Colloquium , Colorado School of Mines, February 2007.
• A high-order spectral finite volume method for atmospheric flows SIAM conference on Computational Science and Engineering, Costa Mesa, CA February 2007.
• Sensitivity analysis for shallow water equations SIAM conference on Geosciences, Santa Fe , NM March 2007. (with Joe Tribbia)
• A spectral finite-volume flux corrected transport method for shallow water equations Stanford 50: State of the art and future directions of computational mathematics and numerical computing, Stanford University, CA March 2007. (The poster won the competition under Junior Scientist category and this facilitated me to give an oral presentation in the conference).
Participation:
• 7th International Workshop on Adjoint Applications in Dynamic Metorology, Obergurgl, Austria October 9-13, 2006.
Education and Outreach:
• Volunteered for the event Weather and Climate: The Two Go Together for Girl Scouts at NCAR May 2007.
This research, unless otherwise stated, is supported by the National Science Foundation.