www. acebook.f com/ nnationaldailprdiati y ljljw www. pratidindaily. com $ gj ;~rf/ u[x k|f=ln=åf/f k|sflzt tyf gj ;~rf/ ckm;] 6df d'lb|t ., the coupled level set and VOF approach seems to achieve mass conservation exactly. However, it is demonstrated that curvatures calculated from the LS function of a coupled LS and VOF model are zero-order accurate in space. Taking the derivatives of the VOF or LS func-tion is an straightforward and easy approach for cal-culating interface curvature., of] ljj/0f–kq geO{ s]jn cfJxfg –kq dfq xf] . Æ!) jif{ cjlw tyf jflif{s !)=&% k|ltzt Aofhb/ ePsf] æPgPdla l8j]~r/ !)=&%Ü–@)*(÷@)()æ cfJxfg kq, VOF-PLIC method used in the present work. The main idea in the coupled VOF/LS methods [2, 5] is to take the advantages of both approaches (VOF and LS). In the present formulation, the mass losses are reduced through the application of a VOF-PLIC method, while a fine representation of the interface curvature is preserved by utilizing the level set, β>0, if for every exposed critical value vof Rin J(R), we have X n≥0 |(Rn)′(v)|−β <∞. The summability condition was introduced in [NS], in the context of unimodal maps. In the complex setting it has been studied in [Pr2, GSm2, PU, BS]. See also [Av, L, Mak]. In the literature the Collet-Eckmann and summability conditions impose the non, .