Let H be a connected graph and G be a supergraph of H . It is trivial that for any k-flow (D, f ) of G, the restriction of (D, f ) on the edge subset E(G/H) is a k-flow of the contracted graph G/H . However, the other direction of the question is neither trivial nor straightforward at all: for any k-flow (D′, f ′) of the contracted graph G/H , whether or not the supergraph G admits a k-flow (D,...

Debris flow runout poses a hazard to life and infrastructure. The expansion of human population into mountainous areas onto alluvial fans increases the need predict mitigate debris hazards. flows on unconfined can exhibit spontaneous self-channelization through levee formation that reduces lateral spreading extends distances compared unchannelized flows. Here we modify D-Claw shallow model in t...

In this research, numerical simulation of a symmetric impact of a 2-D wedge, considering dynamic equations in two-phase flow is taken into account. The two-phase flow around the wedge is solved based on finite volume method and volume of fluid (VOF) scheme. The dynamic mesh model is used to simulate dynamic motion of the wedge, thereby the effects of different dynamic meshes in both structured ...

Disturbed blood flow (d-flow) occurring in branched and curved arteries promotes endothelial dysfunction and atherosclerosis, in part, by altering gene expression and epigenomic profiles in endothelial cells. While a systemic metabolic change is known to play a role in atherosclerosis, it is unclear whether it can be regulated by local d-flow. Here, we tested this hypothesis by carrying out a m...

Abstract This paper proposes a novel particle scheme that provides convergent approximations of weak solution the Navier‐Stokes equations for 1‐D flow viscous compressible fluid. Moreover, it is shown all differential inequalities hold fluid model are preserved by method: mass conserved, mechanical energy decaying, and modified functional also decaying. The proposed method can be used both as n...