Rieckmann, Matthias ; Smuda, Martin ; Stephan, Peter ; Kummer, Florian (2023)
The extended discontinuous Galerkin Method for two-phase flows with evaporation.
In: SSRN eLibrary
doi: 10.2139/ssrn.4471968
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In this work, we present an extended Discontinuous Galerkin method for simulating transient, incompressible two-phase flows, which include heat transfer and thermally driven evaporation at the interface of single-component systems. The interface is represented by the zero-set of a level set function, while effects due to surface tension are treated by the Laplace-Beltrami formulation. This the present sharp interface model allows for a sub-grid accurate representation of the solution fields. By using compactly supported polynomial solutions, discontinuities at the interface can be sharply represented without employing additional reconstruction schemes. The approach is validated through well-known evaporation test cases. This includes two 1D test cases, known as Stefan and Sucking problem, a 2D film boiling and finally the 3D growth of a vapor bubble, known as Scriven test case.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2023 |
| Autor(en): | Rieckmann, Matthias ; Smuda, Martin ; Stephan, Peter ; Kummer, Florian |
| Art des Eintrags: | Bibliographie |
| Titel: | The extended discontinuous Galerkin Method for two-phase flows with evaporation |
| Sprache: | Englisch |
| Publikationsjahr: | 2023 |
| Verlag: | Elsevier |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | SSRN eLibrary |
| Buchtitel: | The Extended Discontinuous Galerkin Method for Two-Phase Flows with Evaporation |
| Kollation: | 25 Seiten |
| DOI: | 10.2139/ssrn.4471968 |
| Kurzbeschreibung (Abstract): | In this work, we present an extended Discontinuous Galerkin method for simulating transient, incompressible two-phase flows, which include heat transfer and thermally driven evaporation at the interface of single-component systems. The interface is represented by the zero-set of a level set function, while effects due to surface tension are treated by the Laplace-Beltrami formulation. This the present sharp interface model allows for a sub-grid accurate representation of the solution fields. By using compactly supported polynomial solutions, discontinuities at the interface can be sharply represented without employing additional reconstruction schemes. The approach is validated through well-known evaporation test cases. This includes two 1D test cases, known as Stefan and Sucking problem, a 2D film boiling and finally the 3D growth of a vapor bubble, known as Scriven test case. |
| Zusätzliche Informationen: | Preprint |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Technische Thermodynamik (TTD) DFG-Sonderforschungsbereiche (inkl. Transregio) DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche DFG-Sonderforschungsbereiche (inkl. Transregio) > Sonderforschungsbereiche > SFB 1194: Wechselseitige Beeinflussung von Transport- und Benetzungsvorgängen |
| Hinterlegungsdatum: | 30 Nov 2023 10:30 |
| Letzte Änderung: | 30 Nov 2023 10:30 |
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