• Franz J. Vesely


The flow field v(r, t) in a compressible viscous fluid obeys the equation of motion
$$\frac{\partial }{{\partial t}}\rho v + \nabla \cdot \left[ {\rho vv} \right] + \nabla p - \mu \nabla \cdot U = 0$$
with μ denoting the viscosity, and the Navier-Stokes tensor U defined by
$$U \equiv \nabla v + {\left( {\nabla v} \right)^T} - \frac{2}{3}\left( {\nabla \cdot v} \right)$$
(The coefficient in the last term is dependent on dimensionality; in two dimensions it is 1 instead of 2/3.)


Cellular Automaton Smooth Particle Hydrodynamic Smooth Particle Hydrodynamic Fluid Element Smooth Particle Hydrodynamic Method 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Franz J. Vesely
    • 1
  1. 1.Institute of Experimental PhysicsUniversity of ViennaViennaAustria

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