Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme

Shaoqiang Tang ()
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Shaoqiang Tang: Peking University, Dept. of Mech. & Engng. Sci.

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 881-888 from Springer

Abstract: Abstract In two space dimensions, a van der Waals fluid is governed by (1) $$ \left\{ {\begin{array}{*{20}{c}} {{{\rho }_{t}} + {{{(\rho u)}}_{x}} + {{{(\rho v)}}_{y}} = 0,} \hfill \\ {{{{(\rho u)}}_{t}} + {{{(\rho {{u}^{2}} + p(\rho ,T))}}_{x}} + {{{(\rho uv)}}_{y}} = 0,} \hfill \\ {{{{(\rho v)}}_{t}} + {{{(\rho uv)}}_{x}} + {{{(\rho {{v}^{2}} + p(\rho ,T))}}_{y}} = 0,} \hfill \\ \end{array} } \right. $$ with equation of state (2) $$ p(\rho ,T) = \frac{{8\rho T}}{{3 - \rho }} - 3{{\rho }^{2}}. $$ Here ρ is the density, p the pressure, u and v the velocities in x and y directions respectively.

Keywords: Relaxation Model; Kinetic Relation; Dynamic Phase Transition; Shock Reflection; Double Spiral (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_83

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DOI: 10.1007/978-3-642-55711-8_83

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