NDLI: Filament-Based Smoke (2010)

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Filament-Based Smoke (2010)

Content Provider	CiteSeerX
Researcher	Weißmann, Steffen
Abstract	This cumulative dissertation presents a complete model for simulating smoke using polygonal vortex filaments. Based on a Hamiltonian system for the dynamics of smooth vortex filaments, we develop an efficient and robust algorithm that allows simulations in real time. The discrete smoke ring flow allows to use coarse polygonal vortex filaments, while preserving the qualitative behavior of the smooth system. The method handles rigidly moving obstacles as boundary conditions and simulates vortex shedding. Obstacles as well as shed vorticity are also represented as polygonal filaments. Variational vortex reconnection prevents the exponential increase of filament length over time, without significant modification of the fluid velocity field. This allows for simulations over extended periods of time. The algorithm reproduces various real experiments (colliding vortex rings, wakes) that are challenging for classical methods.
File Format	PDF
Publisher Date	2010-01-01
Access Restriction	Open
Subject Keyword	Filament-based Smoke Vorgelegt Von Diplom-mathematiker Complete Model Variational Vortex Reconnection Flow Allows Fluid Velocity Field Hamiltonian System Vortex Ring Robust Algorithm Smooth Vortex Filament Extended Period Cumulative Dissertation Polygonal Fila-ments Filament Length Exponential Increase Moving Obstacle Boundary Condition Discrete Smoke Smooth System Algorithm Reproduces Vari-ous Real Experiment Qualitative Behavior Coarse Polygonal Vortex Filament Polygonal Vortex Filament Significant Modification Classical Method
Content Type	Text
Resource Type	Thesis

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