# Documentation du code de simulation numérique SUNFLUIDH

### Outils du site

 sunfluidh:sunfluidh_link_equations_data_set [2016/11/30 14:31]yann [Links equations & Data set] sunfluidh:sunfluidh_link_equations_data_set [2018/12/17 14:58] (Version actuelle)yann [Links equations & Data set] Les deux révisions précédentes Révision précédente 2018/12/17 14:58 yann [Links equations & Data set] 2018/12/17 14:56 yann [The different formulations of the Poisson's equation] 2018/12/17 14:55 yann [The different formulations of the Poisson's equation] 2018/12/17 14:55 yann [Links equations & Data set] 2018/12/17 11:09 yann 2018/12/17 11:04 yann 2018/12/17 11:02 yann [The different formulations of the Poisson's equation] 2016/11/30 14:34 yann 2016/11/30 14:31 yann [Links equations & Data set] 2016/11/30 13:31 yann 2016/11/30 13:08 yann [The different formulations of the Poisson's equation] 2016/11/30 13:07 yann 2016/11/30 13:05 yann 2016/11/30 13:04 yann 2016/11/30 12:39 yann 2016/11/30 12:39 yann 2016/11/30 12:38 yann 2016/11/29 14:54 yann 2016/11/29 14:41 yann 2016/11/29 11:37 yann 2016/11/29 10:44 yann 2016/11/29 10:43 yann 2016/11/29 10:37 yann 2016/11/29 10:27 yann 2016/11/29 10:06 yann 2016/11/29 09:59 yann créée Prochaine révision Révision précédente 2018/12/17 14:58 yann [Links equations & Data set] 2018/12/17 14:56 yann [The different formulations of the Poisson's equation] 2018/12/17 14:55 yann [The different formulations of the Poisson's equation] 2018/12/17 14:55 yann [Links equations & Data set] 2018/12/17 11:09 yann 2018/12/17 11:04 yann 2018/12/17 11:02 yann [The different formulations of the Poisson's equation] 2016/11/30 14:34 yann 2016/11/30 14:31 yann [Links equations & Data set] 2016/11/30 13:31 yann 2016/11/30 13:08 yann [The different formulations of the Poisson's equation] 2016/11/30 13:07 yann 2016/11/30 13:05 yann 2016/11/30 13:04 yann 2016/11/30 12:39 yann 2016/11/30 12:39 yann 2016/11/30 12:38 yann 2016/11/29 14:54 yann 2016/11/29 14:41 yann 2016/11/29 11:37 yann 2016/11/29 10:44 yann 2016/11/29 10:43 yann 2016/11/29 10:37 yann 2016/11/29 10:27 yann 2016/11/29 10:06 yann 2016/11/29 09:59 yann créée Ligne 13: Ligne 13: $$\vec{V}^{n+1}= \vec{V}^* - \frac{\Delta t}{\rho} \nabla \phi$$ $$\vec{V}^{n+1}= \vec{V}^* - \frac{\Delta t}{\rho} \nabla \phi$$ - For more details on the projection methods, see the document on the numerical methods used in Sunfluidh [[sunfluidh:sunfluidh_edu_documents|(click here)]]. + **For more details on the projection methods, see the document on the numerical methods used in Sunfluidh [[sunfluidh:sunfluidh_edu_documents|(click here)]].** Ligne 20: Ligne 20: * the different sets of governing equations that depend on the flow is either incompressible or dilatable (low Mach number hypothesis). * the different sets of governing equations that depend on the flow is either incompressible or dilatable (low Mach number hypothesis). * the different formulations of the Poisson's equation in respect with the problem treated. * the different formulations of the Poisson's equation in respect with the problem treated. - * the links between the equations, physical quantities and [[sunfluidh:sunfluidh_data_setup|the data set]] + * the links between the equations, physical quantities and **[[sunfluidh:sunfluidh_data_setup|the input data setup]] ** Ligne 64: Ligne 64: - We remind the user that the low Mach hypothesis is based on the hypothesis of the scale splitting between the thermodynamics and dynamics phenomena. As a consequence the pressure is read as $P= P_{th}+P_{dyn}$, where $P_{th}$ is the thermodynamical pressure and $P_{dyn}$ the dynamical pressure.  $P_{th}$ is supposed to be uniform over the domain and is defined by the equation of state. $P_dyn$ is solved from the Poisson's equation (see the projection methods). + We remind the user that the low Mach hypothesis is based on the hypothesis of the scale splitting between the thermodynamics and dynamics phenomena. As a consequence the pressure is read as $P= P_{th}+P_{dyn}$, where $P_{th}$ is the thermodynamical pressure and $P_{dyn}$ the "dynamical" pressure (part of the static pressure that contributes to the fluid motion).  $P_{th}$ is supposed to be uniform over the domain and is defined by the equation of state. $P_dyn$ is solved from the Poisson's equation (see the projection methods). Ligne 111: Ligne 111: [[sunfluidh:sunfluidh_data_setup|here to come back to the data-set page]] [[sunfluidh:sunfluidh_data_setup|here to come back to the data-set page]] + + + **Information on numerical methods used for solving these equations is available in the pdf document present [[ :sunfluidh:sunfluidh_full_documents | here]].** + + ===== Link between the data set & the variables in equations ===== ===== Link between the data set & the variables in equations =====