Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
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DOI: 10.1016/j.apnum.2018.10.013
Abstract: Abstract In this paper, we study a finite element approximation for a linear, first-order in time, unconditionally energy stable scheme proposed in [7] for solving the magneto-hydrodynamic equations. We first reformulate the semi-discrete scheme to… read more here.
Keywords: unconditionally energy; scheme; magneto hydrodynamic; hydrodynamic equations ... See more keywords
Numerical Issues for Solving Eu-type Generalized Hydrodynamic Equations to Investigate Continuum-rarefied Gas Flows
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DOI: 10.1038/s41598-018-36431-y
Abstract: Eu-type generalized hydrodynamic equations have been derived from the Boltzmann kinetic theory and applied to investigate continuum and/or rarefied gas flows. This short communication first reports detailed and important issues in the use of the… read more here.
Keywords: type generalized; generalized hydrodynamic; gas flows; hydrodynamic equations ... See more keywords
Deriving hydrodynamic equations from dry active matter models in three dimensions
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DOI: 10.1088/1742-5468/aad6b5
Abstract: We derive hydrodynamic equations from Vicsek-style dry active matter models in three dimensions (3D), building on our experience on the 2D case using the Boltzmann-Ginzburg-Landau approach. The hydrodynamic equations are obtained from a Boltzmann equation… read more here.
Keywords: models three; active matter; three dimensions; matter models ... See more keywords
Hydrodynamic Equations for Flocking Models without Velocity Alignment
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DOI: 10.7566/jpsj.86.101010
Abstract: The spontaneous emergence of collective motion patterns is usually associated with the presence of a velocity alignment mechanism that mediates the interactions among the moving individuals. Despite of this widespread view, it has been shown… read more here.
Keywords: velocity alignment; equations flocking; hydrodynamic equations; position based ... See more keywords