The implementation of an adaptive mesh embedding (h-reflnement) schemes using unstructured grid in two-dimensional Direct Simulation Monte Carlo (DSMC) method is reported. In this technique, local isotropic refinement is used to introduce new meshes where local cell Knudsen number is less than some preset value. This simple scheme, however, has several severe consequences affecting the performa...

we evaluated the efficacy of a full-scale combined biophysicochemical system for treatingmolasses-based bioethanol wastewater in terms of organic substances, nutrient, and dark brown color removal. the main organic removal unit, i.e., the upflow anaerobic sludge blanket (uasb) reactor, achieved 80.7% removal and 4.3 nm3 methane production per cubic meter of wastewater with a hydraulic retention...

We show the existence of a global unique and analytic solution for the mean curvature flow and the Willmore flow of entire graphs for Lipschitz initial data with small Lipschitz norm. We also show the existence of a global unique and analytic solution to the Ricci-DeTurck flow on euclidean space for bounded initial metrics which are close to the euclidean metric in L∞ and to the harmonic map fl...

ABSTRACT. In this article, functional inequalities for diffusion semigroups on Riemannian manifolds (possibly with boundary) are established, which are equivalent to pinched Ricci curvature, along with gradient estimates, Lp-inequalities and log-Sobolev inequalities. These results are further extended to differential manifolds carrying geometric flows. As application, it is shown that they can ...

We report the case of a 26-year-old man who presented with a non-painful priapism with a history of 3 months permanent erection after suffering a perineal trauma. An arteriocorporal fistula with a turbulent flow between the right cavernosal artery and the corpus cavernosum, conclusive for a high-flow priapism was initially detected by colour Doppler ultrasound. A superselective embolization wit...