A compressible fluid particle model based on the Voronoi ...

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Example of recombination algorithm: shear alternative forcong is applied
Properties of the non dissipative Voronoi <strong>model</strong> These equations preserve energy conservation The Voronoi volume is invariant under - translations of the <strong>particle</strong>s: Conserves tot. Lin. Mom. P= ∑ mVi - rotations of the <strong>particle</strong>s: Conserves angular mom. These equations can be considered as a Lagrangian discrete version of the Euler Equations (inviscid Navier Stokes) (if the velocity field is smoothed) Other symmetries of the <strong>model</strong>: Invariance of the equations under spatial traslations, temporal, Galilean transformations, rotations,... Just like the Euler equations!! ...Can our inviscid <strong>model</strong> predict or say something about the statistical properties of stationary turbulence? ∑ L= R × mV i i i i
Page 1 and 2: A compressible <st
Page 3 and 4: Outline 1. Motivacion: Lagrangian t
Page 5 and 6: SPH Discretization of continuum hyd
Page 7 and 8: Mesoscopic fluid <
Page 11 and 12: m i dVi dt This dynamics can be und
Page 13 and 14: Voronoi Ri Aij Rij Rj cij eij lim
Page 17 and 18: Spatial derivatives SDPD/Voronoi
Page 19 and 20: 2 m i Ex ( ) = ∑ + ε ( mi, Si, v
Page 21 and 22: Including thermal fluctuations ⎛
Page 23 and 24: y Comparing the performance of SDPD
Page 25 and 26: Stationary velocity profiles Disord
Page 29: Conclusions -The discrete m
Page 33 and 34: 2d implementation Structure of the
Page 35: OLD TOPOLOGY Fik Fil v1 i j v2 Time
Page 39: SDPD Overlapping Input theory s=3 s

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