Mariño-Salguero, Jessica ; Schäfer, Michael (2020)
A Modified Normalized Weighting Factor method for improving the efficiency of the blended high-resolution advection schemes in the context of multiphase flows.
In: Experimental and Computational Multiphase Flow volume, 3 (3)
doi: 10.1007/s42757-020-0074-2
Artikel, Bibliographie
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Kurzbeschreibung (Abstract)
This work deals with a new methodology for the implementation of high-resolution (HR) schemes employed to advect the volume fraction in the volume of fluid (VOF) method, in which the numerical stability and convergence depend heavily on the numerical advection scheme and implementation method. The proposed method is based on the normalized weighting factor (NWF) method, which linearizes the normalized interpolation profile and rewrites the face value directly using the donor, acceptor, and upwind nodes. However, unlike the NWF, which is fully implicit and results in pentadiagonal linear systems, the new modified normalized weighting factor (MNWF) method only forms the implicit terms with the contribution of the donor and acceptor nodes, while the contribution of the upwind node explicitly forms part of the source term. Therefore, the method results in a tridiagonal linear system. The comparison of the new method with the deferred correction (DC), downwind weighting factor (DWF), and the RNWF methods shows that the MNWF requires about 5%–25% fewer iterations than DC and RNWF, and around 10%–85% less than DWF. Thus, a similar order of accuracy of the results can be o btained with less computational time.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2020 |
| Autor(en): | Mariño-Salguero, Jessica ; Schäfer, Michael |
| Art des Eintrags: | Bibliographie |
| Titel: | A Modified Normalized Weighting Factor method for improving the efficiency of the blended high-resolution advection schemes in the context of multiphase flows |
| Sprache: | Englisch |
| Publikationsjahr: | 18 Juli 2020 |
| Ort: | [Singapore] |
| Verlag: | Springer Singapore |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Experimental and Computational Multiphase Flow volume |
| Jahrgang/Volume einer Zeitschrift: | 3 |
| (Heft-)Nummer: | 3 |
| DOI: | 10.1007/s42757-020-0074-2 |
| URL / URN: | https://link.springer.com/article/10.1007%2Fs42757-020-0074-... |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | This work deals with a new methodology for the implementation of high-resolution (HR) schemes employed to advect the volume fraction in the volume of fluid (VOF) method, in which the numerical stability and convergence depend heavily on the numerical advection scheme and implementation method. The proposed method is based on the normalized weighting factor (NWF) method, which linearizes the normalized interpolation profile and rewrites the face value directly using the donor, acceptor, and upwind nodes. However, unlike the NWF, which is fully implicit and results in pentadiagonal linear systems, the new modified normalized weighting factor (MNWF) method only forms the implicit terms with the contribution of the donor and acceptor nodes, while the contribution of the upwind node explicitly forms part of the source term. Therefore, the method results in a tridiagonal linear system. The comparison of the new method with the deferred correction (DC), downwind weighting factor (DWF), and the RNWF methods shows that the MNWF requires about 5%–25% fewer iterations than DC and RNWF, and around 10%–85% less than DWF. Thus, a similar order of accuracy of the results can be o btained with less computational time. |
| Freie Schlagworte: | volume of fluid (VOF), advection, discretization method, two-phase flow, efficiency |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB) 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB) > Numerische Berechnungsverfahren Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) |
| Hinterlegungsdatum: | 18 Aug 2021 05:48 |
| Letzte Änderung: | 30 Dez 2024 13:39 |
| PPN: | 524854238 |
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A Modified Normalized Weighting Factor method for improving the efficiency of the blended high-resolution advection schemes in the context of multiphase flows. (deposited 18 Dez 2024 13:04)
- A Modified Normalized Weighting Factor method for improving the efficiency of the blended high-resolution advection schemes in the context of multiphase flows. (deposited 18 Aug 2021 05:48) [Gegenwärtig angezeigt]
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