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arXiv · 1810.11270

Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations

Michael Griebel·Christian Rieger·Peter Zaspel
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Abstract

In this work, we apply stochastic collocation methods with radial kernel basis functions for an uncertainty quantification of the random incompressible two-phase Navier-Stokes equations. Our approach is non-intrusive and we use the existing fluid dynamics solver NaSt3DGPF to solve the incompressible two-phase Navier-Stokes equation for each given realization. We are able to empirically show that the resulting kernel-based stochastic collocation is highly competitive in this setting and even outperforms some other standard methods.

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Michael Griebel, Christian Rieger, Peter Zaspel. 2018-10-26. Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations. https://arxiv.org/abs/1810.11270

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