Geisenhofer, Markus ; Kummer, Florian ; Müller, Björn (2019)
A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity based shock‐capturing on cut cells.
In: International Journal for Numerical Methods in Fluids, 91
doi: 10.1002/fld.4761
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (Abstract)
We present a higher order cut cell immersed boundary method (IBM) for the simulation of high Mach number flows. As a novelty on a cut cell grid, we evaluate an adaptive local time stepping (LTS) scheme in combination with an artificial viscosity based shock‐capturing approach. The cut cell grid is optimized by a non‐intrusive cell‐agglomeration strategy in order to avoid problems with small or ill‐shaped cut cells. Our approach is based on a discontinuous Galerkin discretization of the compressible Euler equations, where the immersed boundary is implicitly defined by the zero iso‐contour of a level set function. In flow configurations with high Mach numbers, a numerical shock‐capturing mechanism is crucial in order to prevent unphysical oscillations of the polynomial approximation in the vicinity of shocks. We achieve this by means of a viscous smoothing where the artificial viscosity follows from a modal decay sensor that has been adapted to the IBM. The problem of the severe time step restriction caused by the additional second order diffusive term and small non‐agglomerated cut cells is addressed by using an adaptive LTS algorithm. The robustness, stability, and accuracy of our approach is verified for several common test cases. Moreover, the results show that our approach lowers the computational costs drastically, especially for unsteady IBM problems with complex geometries.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2019 |
| Autor(en): | Geisenhofer, Markus ; Kummer, Florian ; Müller, Björn |
| Art des Eintrags: | Bibliographie |
| Titel: | A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity based shock‐capturing on cut cells |
| Sprache: | Englisch |
| Publikationsjahr: | 19 Juli 2019 |
| Verlag: | Wiley-Blackwell |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal for Numerical Methods in Fluids |
| Jahrgang/Volume einer Zeitschrift: | 91 |
| DOI: | 10.1002/fld.4761 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | We present a higher order cut cell immersed boundary method (IBM) for the simulation of high Mach number flows. As a novelty on a cut cell grid, we evaluate an adaptive local time stepping (LTS) scheme in combination with an artificial viscosity based shock‐capturing approach. The cut cell grid is optimized by a non‐intrusive cell‐agglomeration strategy in order to avoid problems with small or ill‐shaped cut cells. Our approach is based on a discontinuous Galerkin discretization of the compressible Euler equations, where the immersed boundary is implicitly defined by the zero iso‐contour of a level set function. In flow configurations with high Mach numbers, a numerical shock‐capturing mechanism is crucial in order to prevent unphysical oscillations of the polynomial approximation in the vicinity of shocks. We achieve this by means of a viscous smoothing where the artificial viscosity follows from a modal decay sensor that has been adapted to the IBM. The problem of the severe time step restriction caused by the additional second order diffusive term and small non‐agglomerated cut cells is addressed by using an adaptive LTS algorithm. The robustness, stability, and accuracy of our approach is verified for several common test cases. Moreover, the results show that our approach lowers the computational costs drastically, especially for unsteady IBM problems with complex geometries. |
| Freie Schlagworte: | BoSSS |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen Zentrale Einrichtungen > Hochschulrechenzentrum (HRZ) Zentrale Einrichtungen > Hochschulrechenzentrum (HRZ) > Hochleistungsrechner |
| Hinterlegungsdatum: | 18 Okt 2019 07:22 |
| Letzte Änderung: | 10 Jan 2024 09:56 |
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A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity-based shock‐capturing on cut cells. (deposited 09 Jan 2024 12:29)
- A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity based shock‐capturing on cut cells. (deposited 18 Okt 2019 07:22) [Gegenwärtig angezeigt]
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