We present tensor-product divergence-free and curl-free wavelets, and define associated projectors. These projectors permit the definition of an iterative algorithm to compute the Helmholtz decomposition in wavelet domain of any vector field. This decomposition is localized in space, in contrast to the Helmholtz decomposition calculated by Fourier transform. Then we prove the convergence of the...

We study diffusiophoretic exclusion zone (EZ) formation in rectangular channel flow, driven by CO 2 dissolution from one side wall. By using a similarity transform and considering the flow structure, we obtain relation between EZ wall shear rate.

In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré’s theorem and to Korn’s inequality. 1 Weak versions of a classical theorem of Poincaré In this work, (the results of which were announced in [2]),...

A mesh adaptation methodology for wall-modeled turbomachinery Large Eddy Simulation (LES) is proposed, simultaneously taking into account two quantities of interest: the average kinetic energy dissipation rate and normalized wall distance y+. This strategy first tested on a highly loaded transonic blade with separated flow, compared to wall-resolved LES results, as well experimental data. The a...

background: chronic myeloid leukemia is a common cancer in human and chemical therapy is a routine method for treatment that has some side effects. so the goal of this study was the use of natural compound such as cell wall obtained from saccharomyces cerevisiae ( s. cerevisiae ) and saccharomyces boulardi ( s. boulardi ) and iron nanoparticles on the growth inhibition of k562 cell line. method...

leprosy is an infectious and non-fatal disease that mainly involved skin and peripheral nervous system and caused by mycobacterium lepra. this case is a 41-year-old woman with intermittent nasal bleeding and a mass (1.5×2.5 cm) in the right side of lateral nasal wall and a (1×1 cm) mass on septum in the left side of the nose. considering the probability of intranasal tumor, endoscopic biopsy fo...

The structural properties of braided composite laminates are significantly affected by the low-velocity impact (LVI). In this paper, resistance and damage tolerance triaxial braid structure at different positions were mainly studied. Three hybrid biaxial (B)/triaxial (T) structures BBTT, BTTB, TTBB designed, LVI test post-impact compression tests carried out. results show that fabric with quasi...

This work develops optimal preconditioners for the discrete H(curl) and H(div) problems on two-dimensional surfaces by nodal auxiliary space preconditioning (Hiptmair Xu in SIAM J Numer Anal 45:2483–2509, 2007). In particular, unstructured triangulated surfaces, we develop fast user-friendly edge face element discretizations of curl–curl grad–div based inverting several surface Laplacians. The ...

In this study, Eucalyptus globulus stumpwood samples collected from six different sites in Portugal were evaluated for their ease of pulping, using two delignification processes (kraft and alkaline sulfite-anthraquinonemethanol (ASAM)). Morphologically, the stumpwood included fibers with a mean length of 0.930 mm, diameter of 21.4 μm, lumen width of 9.1 μm, and cell-wall thickness of 6.1 μm. Th...

2 Vector Analysis 6 2.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Scalar Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 The Gradient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 The Divergence . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.5 The Curl . . . . . . . . . . . . . . . . . . . . . . . . . . . ...