Maric, T. (2017)
Lagrangian/Eulerian numerical methods for fluid interface advection on unstructured meshes.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung
Kurzbeschreibung (Abstract)
In this thesis two developed Lagrangian / Eulerian numerical are presented for advecting the sharp fluid interface between immiscible fluids: a dimensionally un-split geometrical Volume-of-Fluid method and a coupled Level Set / Front Tracking method. Both numerical methods support solution domains discretized with unstructured meshes.
Different enhancements of the dimensionally un-split geometrical Volume-of-Fluid method are proposed. A new triangulation algorithm for congruent polyhedra is introduced that accurately decomposes polyhedra with non-convex faces into tetrahedra, allowing for a more accurate volume calculation. Additionally, a significant reduction of complexity in the flux contribution calculation is proposed by reducing the number of required intersection operations. A novel simple interface reconstruction algorithm is developed that ensures second-order accuracy of the interface advection. A conservative error redistribution algorithm is developed that supports parallel execution and ensures volume conservation near machine tolerance, numerical stability and exact numerical boundedness of the solution.
Furthermore, for the coupled Level Set / Front Tracking method, an efficient combination of octree and known vicinity search algorithms is proposed, for fast Front Tracking on unstructured meshes. A third-order accurate in time explicit single-step integration method is proposed for the point displacements, along with a second-order accurate interpolation method from cell centers to cell corner points on unstructured meshes, with a low parallel communication overhead.
An efficient and modular software library for $3D$ geometrical operations in the C++ programming language is developed, that significantly simplifies the development of new transport algorithms. Developed algorithms are extended for parallel computation with the domain decomposition model (using Open MPI), or the hybrid domain decomposition / shared memory parallel programming model (using hybrid Open MPI / OpenMP).
| Typ des Eintrags: | Dissertation | ||||
|---|---|---|---|---|---|
| Erschienen: | 2017 | ||||
| Autor(en): | Maric, T. | ||||
| Art des Eintrags: | Erstveröffentlichung | ||||
| Titel: | Lagrangian/Eulerian numerical methods for fluid interface advection on unstructured meshes | ||||
| Sprache: | Englisch | ||||
| Referenten: | Bothe, Prof. Dr. Dieter ; Oberlack, Prof. Dr. Martin ; Jasak, Prof. Dr. Hrvoje | ||||
| Publikationsjahr: | 7 November 2017 | ||||
| Ort: | Darmstadt | ||||
| Datum der mündlichen Prüfung: | 7 November 2017 | ||||
| URL / URN: | http://tuprints.ulb.tu-darmstadt.de/7043 | ||||
| Kurzbeschreibung (Abstract): | In this thesis two developed Lagrangian / Eulerian numerical are presented for advecting the sharp fluid interface between immiscible fluids: a dimensionally un-split geometrical Volume-of-Fluid method and a coupled Level Set / Front Tracking method. Both numerical methods support solution domains discretized with unstructured meshes. Different enhancements of the dimensionally un-split geometrical Volume-of-Fluid method are proposed. A new triangulation algorithm for congruent polyhedra is introduced that accurately decomposes polyhedra with non-convex faces into tetrahedra, allowing for a more accurate volume calculation. Additionally, a significant reduction of complexity in the flux contribution calculation is proposed by reducing the number of required intersection operations. A novel simple interface reconstruction algorithm is developed that ensures second-order accuracy of the interface advection. A conservative error redistribution algorithm is developed that supports parallel execution and ensures volume conservation near machine tolerance, numerical stability and exact numerical boundedness of the solution. Furthermore, for the coupled Level Set / Front Tracking method, an efficient combination of octree and known vicinity search algorithms is proposed, for fast Front Tracking on unstructured meshes. A third-order accurate in time explicit single-step integration method is proposed for the point displacements, along with a second-order accurate interpolation method from cell centers to cell corner points on unstructured meshes, with a low parallel communication overhead. An efficient and modular software library for $3D$ geometrical operations in the C++ programming language is developed, that significantly simplifies the development of new transport algorithms. Developed algorithms are extended for parallel computation with the domain decomposition model (using Open MPI), or the hybrid domain decomposition / shared memory parallel programming model (using hybrid Open MPI / OpenMP). |
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| URN: | urn:nbn:de:tuda-tuprints-70432 | ||||
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
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| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Analysis 04 Fachbereich Mathematik > Analysis > Mathematische Modellierung und Analysis 04 Fachbereich Mathematik > Mathematische Modellierung und Analysis (MMA) |
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| Hinterlegungsdatum: | 24 Dez 2017 20:55 | ||||
| Letzte Änderung: | 07 Feb 2024 11:55 | ||||
| PPN: | |||||
| Referenten: | Bothe, Prof. Dr. Dieter ; Oberlack, Prof. Dr. Martin ; Jasak, Prof. Dr. Hrvoje | ||||
| Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 7 November 2017 | ||||
| Export: | |||||
| Suche nach Titel in: | TUfind oder in Google | ||||
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