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\documentclass[12pt]{article}
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\begin{document}
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$$
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p = (\gamma - 1) \rho e
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$$
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\end{document}
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\documentclass[12pt]{article}
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\begin{document}
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$$
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p = B [(\frac{\rho}{\rho_0})^{\gamma} - 1]
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$$
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\end{document}
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@ -25,10 +25,8 @@ pair_coeff * * 1.0 2.4
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<P>The sph/idealgas style computes pressure forces between particles
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according to the ideal gas equation of state:
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</P>
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<P>\begin<I>equation</I>
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p = (\gamma - 1) \rho e,
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\end<I>equation</I>
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</P>
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<CENTER><IMG SRC = "Eqs/pair_sph_ideal.jpg">
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</CENTER>
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<P>where gamma = 1.4 is the heat capacity ratio, rho is the local
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density, and e is the internal energy per unit mass. This pair style
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also computes Monaghan's artificial viscosity to prevent particles
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@ -22,9 +22,7 @@ pair_coeff * * 1.0 2.4 :pre
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The sph/idealgas style computes pressure forces between particles
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according to the ideal gas equation of state:
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\begin{equation}
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p = (\gamma - 1) \rho e,
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\end{equation}
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:c,image(Eqs/pair_sph_ideal.jpg)
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where gamma = 1.4 is the heat capacity ratio, rho is the local
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density, and e is the internal energy per unit mass. This pair style
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@ -25,10 +25,8 @@ pair_coeff * * 1000.0 1430.0 1.0 2.4
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<P>The sph/taitwater style computes pressure forces between SPH particles
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according to Tait's equation of state:
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</P>
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<P>\begin<I>equation</I>
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p = B <B>(\frac<I>\rho</I><I>\rho_0</I>)^<I>\gamma</I> - 1</B>,
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\end<I>equation</I>
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</P>
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<CENTER><IMG SRC = "Eqs/pair_sph_tait.jpg">
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</CENTER>
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<P>where gamma = 7 and B = c_0^2 rho_0 / gamma, with rho_0 being the
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reference density and c_0 the reference speed of sound.
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</P>
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@ -22,9 +22,7 @@ pair_coeff * * 1000.0 1430.0 1.0 2.4 :pre
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The sph/taitwater style computes pressure forces between SPH particles
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according to Tait's equation of state:
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\begin{equation}
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p = B [(\frac{\rho}{\rho_0})^{\gamma} - 1],
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\end{equation}
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:c,image(Eqs/pair_sph_tait.jpg)
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where gamma = 7 and B = c_0^2 rho_0 / gamma, with rho_0 being the
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reference density and c_0 the reference speed of sound.
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@ -25,10 +25,8 @@ pair_coeff * * 1000.0 1430.0 1.0 2.4
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<P>The sph/taitwater/morris style computes pressure forces between SPH
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particles according to Tait's equation of state:
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</P>
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<P>\begin<I>equation</I>
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p = B <B>(\frac<I>\rho</I><I>\rho_0</I>)^<I>\gamma</I> - 1</B>,
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\end<I>equation</I>
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</P>
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<CENTER><IMG SRC = "Eqs/pair_sph_tait.jpg">
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</CENTER>
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<P>where gamma = 7 and B = c_0^2 rho_0 / gamma, with rho_0 being the
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reference density and c_0 the reference speed of sound.
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</P>
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@ -22,9 +22,7 @@ pair_coeff * * 1000.0 1430.0 1.0 2.4 :pre
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The sph/taitwater/morris style computes pressure forces between SPH
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particles according to Tait's equation of state:
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\begin{equation}
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p = B [(\frac{\rho}{\rho_0})^{\gamma} - 1],
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\end{equation}
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:c,image(Eqs/pair_sph_tait.jpg)
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where gamma = 7 and B = c_0^2 rho_0 / gamma, with rho_0 being the
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reference density and c_0 the reference speed of sound.
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