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Gaussian process approach within a data-driven POD framework for fluid dynamics engineering problems

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arxiv 2012.01989 v1 pith:7XPBELVN submitted 2020-12-03 math.NA cs.NA

Gaussian process approach within a data-driven POD framework for fluid dynamics engineering problems

classification math.NA cs.NA
keywords approachdata-drivenengineeringgaussianproblemproblemsprocessapplied
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This work describes the implementation of a data-driven approach for the reduction of the complexity of parametrical partial differential equations (PDEs) employing Proper Orthogonal Decomposition (POD) and Gaussian Process Regression (GPR). This approach is applied initially to a literature case, the simulation of the stokes problems, and in the following to a real-world industrial problem, inside a shape optimization pipeline for a naval engineering problem.

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