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Applied Mechanics Commons

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Advection diffusion

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Full-Text Articles in Applied Mechanics

Contaminant Transport At Large Courant Numbers Using Markov Matrices, Anthony D. Fontanini, Umesh Vaidya, Alberto Passalacqua, Baskar Ganapathysubramanian Jun 2017

Contaminant Transport At Large Courant Numbers Using Markov Matrices, Anthony D. Fontanini, Umesh Vaidya, Alberto Passalacqua, Baskar Ganapathysubramanian

Umesh Vaidya

Volatile organic compounds, particulate matter, airborne infectious disease, and harmful chemical or biological agents are examples of gaseous and particulate contaminants affecting human health in indoor environments. Fast and accurate methods are needed for detection, predictive transport, and contaminant source identification. Markov matrices have shown promise for these applications. However, current (Lagrangian and flux based) Markov methods are limited to small time steps and steady-flow fields. We extend the application of Markov matrices by developing a methodology based on Eulerian approaches. This allows construction of Markov matrices with time steps corresponding to very large Courant numbers. We generalize this framework ...