Multidimensional on-lattice higher-order models in the thermal lattice Boltzmann theory

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Multidimensional on-lattice higher-order models in the thermal lattice Boltzmann theory.

We present a set of uniform polynomial equations that provides multidimensional on-lattice higher-order models of the lattice Boltzmann theory while keeping compact the number of discrete velocities. As examples, we explicitly derive one-, two-, and three-dimensional on-lattice models applicable to describing thermal compressible flows of the accuracy levels of the Navier-Stokes equations with ...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2013

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.88.053310