Commit e27ed6c9 authored by Tim Mattox's avatar Tim Mattox
Browse files

USER-DPD: Added support to use VV integrator with USER-DPD if desired. 

Includes documentation and examples.
NOTE: VV requires very small timesteps under isoenergetic conditions.
Consider using fix_shardlow instead, since this VV support is
primarily for comparison purposes.
parent e9fed809

doc/src/Eqs/pair_dpd_conservative.jpg

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doc/src/Eqs/pair_dpd_conservative.tex

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\documentclass[12pt]{article}

\pagestyle{empty}

\begin{document}



$$

F^C = A \omega_{ij} \qquad \qquad r_{ij} < r_c

$$



\end{document}

doc/src/Eqs/pair_dpd_energy.jpg

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doc/src/Eqs/pair_dpd_energy.tex

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\documentclass[12pt]{article}

\pagestyle{empty}

\begin{document}



\begin{eqnarray*}

  du_{i}^{cond} & = & \kappa_{ij}(\frac{1}{\theta_{i}}-\frac{1}{\theta_{j}})\omega_{ij}^{2} + \alpha_{ij}\omega_{ij}\zeta_{ij}^{q}(\Delta{t})^{-1/2} \\

  du_{i}^{mech} & = & -\frac{1}{2}\gamma_{ij}\omega_{ij}^{2}(\frac{\vec{r_{ij}}}{r_{ij}}\bullet\vec{v_{ij}})^{2} - 

  \frac{\sigma^{2}_{ij}}{4}(\frac{1}{m_{i}}+\frac{1}{m_{j}})\omega_{ij}^{2} - 

  \frac{1}{2}\sigma_{ij}\omega_{ij}(\frac{\vec{r_{ij}}}{r_{ij}}\bullet\vec{v_{ij}})\zeta_{ij}(\Delta{t})^{-1/2} \\

\end{eqnarray*}                           



\end{document}

doc/src/Eqs/pair_dpd_energy_terms.jpg

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