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dc.contributor.authorWang, Tong
dc.contributor.authorLe Maître, Olivier P.
dc.contributor.authorHoteit, Ibrahim
dc.contributor.authorKnio, Omar
dc.date.accessioned2017-01-02T08:42:39Z
dc.date.available2017-01-02T08:42:39Z
dc.date.issued2016-08-20
dc.identifier.citationWang T, Le Maître OP, Hoteit I, Knio OM (2016) Path planning in uncertain flow fields using ensemble method. Ocean Dynamics 66: 1231–1251. Available: http://dx.doi.org/10.1007/s10236-016-0979-2.
dc.identifier.issn1616-7341
dc.identifier.issn1616-7228
dc.identifier.doi10.1007/s10236-016-0979-2
dc.identifier.urihttp://hdl.handle.net/10754/622233
dc.description.abstractAn ensemble-based approach is developed to conduct optimal path planning in unsteady ocean currents under uncertainty. We focus our attention on two-dimensional steady and unsteady uncertain flows, and adopt a sampling methodology that is well suited to operational forecasts, where an ensemble of deterministic predictions is used to model and quantify uncertainty. In an operational setting, much about dynamics, topography, and forcing of the ocean environment is uncertain. To address this uncertainty, the flow field is parametrized using a finite number of independent canonical random variables with known densities, and the ensemble is generated by sampling these variables. For each of the resulting realizations of the uncertain current field, we predict the path that minimizes the travel time by solving a boundary value problem (BVP), based on the Pontryagin maximum principle. A family of backward-in-time trajectories starting at the end position is used to generate suitable initial values for the BVP solver. This allows us to examine and analyze the performance of the sampling strategy and to develop insight into extensions dealing with general circulation ocean models. In particular, the ensemble method enables us to perform a statistical analysis of travel times and consequently develop a path planning approach that accounts for these statistics. The proposed methodology is tested for a number of scenarios. We first validate our algorithms by reproducing simple canonical solutions, and then demonstrate our approach in more complex flow fields, including idealized, steady and unsteady double-gyre flows.
dc.description.sponsorshipThis work was supported in part by the Uncertainty Quantification Center at King Abdullah University of Science and Technology.
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/article/10.1007%2Fs10236-016-0979-2
dc.subjectOptimal path planning
dc.subjectHeading control
dc.subjectEnsemble forecast
dc.subjectPolynomial chaos
dc.titlePath planning in uncertain flow fields using ensemble method
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Fluid Modeling and Prediction Group
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalOcean Dynamics
dc.contributor.institutionLIMSI-CNRS, BP 133, Orsay, 91403, France
kaust.personWang, Tong
kaust.personHoteit, Ibrahim
kaust.personKnio, Omar
dc.date.published-online2016-08-20
dc.date.published-print2016-10


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