17,480 research outputs found

    A numerical model for the Boltzmann equation with applications to micro flows

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    Given an integer lattice \mathcal{L} \subset \mathbb{R}d, we define G as the orthogonal group leaving \mathcal{L} invariant. Starting from a basic kinetic model on G we construct a collision operator on \mathcal{L} which keeps all the essential features of the classical Boltzmann collision operator. For a particular 3D lattice we demonstrate the suitability of this discrete model for the numerical simulation of rarefied flows. For several examples, e.g. in the context of micro flows, we find a good qualitative and quantitative agreement of our simulation results with test data

    A thermal lattice Boltzmann model for micro/nano-flows

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    The dynamic behavior of charged micro and nanofluids plays a crucial role in a large variety of industrial and biological processes. Such dynamic behavior is characterized by the simultaneous occurrence of several competing mechanisms, such as electrostatic interactions, viscous dissipation and hydrodynamic effects, often taking place in complex geometries. This paper focuses on a thermal lattice Boltzmann model for micro/nano-flows
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