In this manuscript we propose and analyze weighted reduced order methods for stochastic Stokes and Navier-Stokes problems depending on random input data (such as forcing terms, physical or geometrical coefficients, boundary conditions). We will compare weighted methods such as weighted greedy and weighted POD with non-weighted ones in case of stochastic parameters. In addition we will analyze different sampling and weighting choices to overcome the curse of dimensionality with high dimensional parameter spaces.

Genovese, J., Ballarin, F., Rozza, G., Canuto, C., Weighted Reduced Order Methods for Uncertainty Quantification in Computational Fluid Dynamics, Reduction, Approximation, Machine Learning, Surrogates, Emulators and Simulators: RAMSES, Springer Nature Switzerland AG, Cham 2024 <<LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING>>,: 127-151. 10.1007/978-3-031-55060-7_6 [https://hdl.handle.net/10807/281977]

Weighted Reduced Order Methods for Uncertainty Quantification in Computational Fluid Dynamics

Ballarin, Francesco;
2024

Abstract

In this manuscript we propose and analyze weighted reduced order methods for stochastic Stokes and Navier-Stokes problems depending on random input data (such as forcing terms, physical or geometrical coefficients, boundary conditions). We will compare weighted methods such as weighted greedy and weighted POD with non-weighted ones in case of stochastic parameters. In addition we will analyze different sampling and weighting choices to overcome the curse of dimensionality with high dimensional parameter spaces.
2024
Inglese
9783031550591
Springer Nature Switzerland AG
Genovese, J., Ballarin, F., Rozza, G., Canuto, C., Weighted Reduced Order Methods for Uncertainty Quantification in Computational Fluid Dynamics, Reduction, Approximation, Machine Learning, Surrogates, Emulators and Simulators: RAMSES, Springer Nature Switzerland AG, Cham 2024 <<LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING>>,: 127-151. 10.1007/978-3-031-55060-7_6 [https://hdl.handle.net/10807/281977]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/281977
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