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arxiv: 0711.1486 · v1 · submitted 2007-11-09 · ⚛️ physics.comp-ph · physics.flu-dyn

Fundamental Conditions for N-th Order Accurate Lattice Boltzmann Models

classification ⚛️ physics.comp-ph physics.flu-dyn
keywords conditionsboltzmannfundamentallatticemodelsn-thorderaccurate
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In this paper, we theoretically prove a set of fundamental conditions pertaining discrete velocity sets and corresponding weights. These conditions provide sufficient conditions for a priori formulation of lattice Boltzmann models that automatically admit correct hydrodynamic moments up to any given N-th order.

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