Lapanthus (Bromeliaceae, Bromelioideae): A New Genus from the Southern Espinhaco Range, Brazil

In this paper we describe a new genus of Bromehaceae, Lapanthus, restricted to the southern portion of the Espinhaco Range, Minas Germs State, in southeastern Brazil Two new combinations to accommodate species previously described in the genera Orthophytum and cryptanthus and one new synonym are proposed Lapanthus has morphological affinities with both Cryptanthus and Orthophytum but nevertheless differs by the combination of margins of the petals ciliate, presence of lanceolate petal appendages and free stamens, and also by molecular data Cryptanthus and Orthophytum have petals entire along the margins, and the filaments of the most internal whorl are adnate to the petals Lapanthus stands out by having a pair of lanceolate petal appendages, which are almost completely adnate to the petals In Orthophytum, however, appendages are cupuhform or sacciform and they are totally absent in the genus Cryptanthus Lapanthus and Orthophytum present meiotic and mitotic chromosome numbers equal to n=25 and 2n=50, 100 and 150 respectively, while Cryptanthus presents meiotic and mitotic chromosome numbers n=17 and 2n=34, 36, 54 respectively, and this difference is considered to be an autapomorphic feature of Cryptanthus Descriptions of the genus and species, identification keys, illustrations, photographs of living specimens, and taxonomic comments are provided

An implicit technique for solving 3D low Reynolds number moving free surface flows

This paper describes the development of an implicit finite difference method for solving transient three-dimensional incompressible free surface flows. To reduce the CPU time of explicit low-Reynolds number calculations, we have combined a projection method with an implicit technique for treating the pressure on the free surface. The projection method is employed to uncouple the velocity and the pressure fields, allowing each variable to be solved separately. We employ the normal stress condition on the free surface to derive an implicit technique for calculating the pressure at the free surface. Numerical results demonstrate that this modification is essential for the construction of methods that are more stable than those provided by discretizing the free surface explicitly. In addition, we show that the proposed method can be applied to viscoelastic fluids. Numerical results include the simulation of jet buckling and extrudate swell for Reynolds numbers in the range [0.01, 0.5]. (C) 2008 Elsevier Inc. All rights reserved.