Räsch, Sascha (2011)
Two-dimensional Circulation-preserving Fluid Simulation with Discrete Exterior Calculus.
Technische Universität Darmstadt
Bachelorarbeit, Bibliographie
Kurzbeschreibung (Abstract)
The development of efficient and stable fluid simulations is a challenging task in computer graphics. Elcott et al. 6 describe an approach, based on Discrete Exterior Calculus for simulating the fluid flow. A vorticity based formulation of the incompressible Navier-Stokes equations is used, resulting in a mass-conserving representation of the velocity field by definition. This approach preserves vorticity at a discrete level, resulting in a visually more realistic fluid flow. We extend this approach to regular grids in two dimensions. So, we avoid computationally expensive mesh constructions. We discuss non-trivial boundary conditions and arbitrary topologies. The vorticity conservation properties are compared with the classical mesh based approach of Elcott et. al. We especially analyze the corresponding pressure fields near the boundaries of inner objects.
| Typ des Eintrags: | Bachelorarbeit |
|---|---|
| Erschienen: | 2011 |
| Autor(en): | Räsch, Sascha |
| Art des Eintrags: | Bibliographie |
| Titel: | Two-dimensional Circulation-preserving Fluid Simulation with Discrete Exterior Calculus |
| Sprache: | Englisch |
| Publikationsjahr: | 2011 |
| Kurzbeschreibung (Abstract): | The development of efficient and stable fluid simulations is a challenging task in computer graphics. Elcott et al. 6 describe an approach, based on Discrete Exterior Calculus for simulating the fluid flow. A vorticity based formulation of the incompressible Navier-Stokes equations is used, resulting in a mass-conserving representation of the velocity field by definition. This approach preserves vorticity at a discrete level, resulting in a visually more realistic fluid flow. We extend this approach to regular grids in two dimensions. So, we avoid computationally expensive mesh constructions. We discuss non-trivial boundary conditions and arbitrary topologies. The vorticity conservation properties are compared with the classical mesh based approach of Elcott et. al. We especially analyze the corresponding pressure fields near the boundaries of inner objects. |
| Freie Schlagworte: | Business Field: Virtual engineering, Research Area: Confluence of graphics and vision, Fluid simulation, Discrete exterior calculus (DEC), 2D structured grids, Vorticity conservation |
| Zusätzliche Informationen: | 62 p. |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 12 Nov 2018 11:16 |
| Letzte Änderung: | 12 Nov 2018 11:16 |
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