In order to promote the use of the lattice Boltzmann method (LBM) for the simulation of isotropic groundwater°ow in a con¯ned aquifer with arbitrary geometry, Poisson's equation was transformed into a curvilinear coordinate system. With the metric function between the physical and the computational domain established, Poisson's equation written in Cartesian coordinates was transformed in curvilinear coordinates. Following, the appropriate equilibrium function for the D2Q9 square lattice has been de¯ned. The resulting curvilinear formulation of the LBM for groundwater°ow is capable of modeling°ow in domains of complex geometry with the opportunity of local re¯ning/coarsening of the computational mesh corresponding to the complexity of the°ow pattern and the required accuracy. Since the proposed form of the LBM uses the transformed equation of°ow implemented in the equilibrium function,¯nding a solution does not require supplementary procedures along the curvilinear boundaries, nor in the zones requiring mesh density adjustments. Thus, the basic concept of the LBM is completely maintained. The improvement of the proposed LBM over the previously published classical methods is completely veri¯ed by three examples with analytical solutions. The results demonstrate the advantages of the proposed curvilinear LBM in modeling groundwater°ow in complex°ow domains.
U radu je izloženo rešenje odvođenja otpadnih voda naselja Mali Iđoš, Lovćenac i Feketić do postrojenja za prečišćavanje otpadnih voda. Radi se o primeru kanalizacionog sistema gde se zbog topografije terena javljaju velike dubine ukopavanja cevi i potreba za ugradnjom crpnih stanica. Glavni kolektor je projektovan za prihvatanje otpadnih voda iz sva tri naselja. Modeliranje mreže i hidraulički proračun su urađeni pomoću programskog paketa SWMM.
U radu je izrađen model atmosferske kanalizacije u naselju Baranda. Pre svega je izvršena analiza terena i padavina, a potom je trasirana kanalizaciona mreža. Izvršen je hidraulički proračun dobijenog modela prilikom padavina dvogodišnjeg povratnog perioda pomoću softverskog paketa EPA SWMM. Nakon toga je izvršena hidrulička analiza modela. Potom je izvršen hidraulički proračun kada je ista mreža opterećena padavinama desetogodišnjeg povratnog perioda i analizirana je njena opterećenost. Na ovaj način je prikazano koje su tačke u sistemu sa najnepovoljnijim uslovima. Na kraju su upoređeni rezultati hidrauličke analize sistema pri padavinama različitog povratnog perioda.
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