Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916938155819008 |
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| author | Gerster, Stephan Sikstel, Aleksey Visconti, Giuseppe |
| author_facet | Gerster, Stephan Sikstel, Aleksey Visconti, Giuseppe |
| contents | This work is devoted to the Galerkin projection of highly nonlinear random quantities. The dependency on a random input is described by Haar-type wavelet systems. The classical Haar sequence has been used by Pettersson, Iaccarino, Nordstroem (2014) for a hyperbolic stochastic Galerkin formulation of the one-dimensional Euler equations. This work generalizes their approach to several multi-dimensional systems with Lipschitz continuous and non-polynomial flux functions. Theoretical results are illustrated numerically by a genuinely multidimensional CWENO reconstruction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11718 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function Gerster, Stephan Sikstel, Aleksey Visconti, Giuseppe Numerical Analysis Probability This work is devoted to the Galerkin projection of highly nonlinear random quantities. The dependency on a random input is described by Haar-type wavelet systems. The classical Haar sequence has been used by Pettersson, Iaccarino, Nordstroem (2014) for a hyperbolic stochastic Galerkin formulation of the one-dimensional Euler equations. This work generalizes their approach to several multi-dimensional systems with Lipschitz continuous and non-polynomial flux functions. Theoretical results are illustrated numerically by a genuinely multidimensional CWENO reconstruction. |
| title | Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function |
| topic | Numerical Analysis Probability |
| url | https://arxiv.org/abs/2203.11718 |