The modeling of various types of free surface flow is presented, ranging from incompressible Newtonian flows, to non-Newtonian viscous ice flows. A numerical method for the simulation of such flows that relies on an Eulerian approach based on the volume-of-fluid formulation is advocated. A

the molecular dynamics (md) simulation method is used to assess structural details for humanprion protein (hereafter prpn) and its asp178 asn mutant (hereafter prpm) which causes fatalfamilial insomnia disease. the results reveal that the flexibility and instability increase in prpmcould be related to specific amino acids exposed to the solvent. solvation free energy of prpm is 20kjmot1nni2 mor...

Free-form meshes with planar hexagonal faces, to be called P-Hex meshes, provide a useful surface representation in discrete differential geometry and are demanded in architectural design for representing surfaces built with planar glass/metal panels. We study the geometry of P-Hex meshes and present an algorithm for computing a free-form P-Hex mesh of a specified shape. Our algorithm first com...

A study of the surface energetics of the thinnest substrate-free liquid films, fluid molecular monolayer and multilayer smectic liquid crystal films suspended in air, is reported. In films having monolayer and multilayer domains, the monolayer areas contract, contrary to predictions from the van der Waals disjoining pressure of thin uniform slabs. This discrepancy is accounted for by modeling t...

Dislocation nucleation is essential to the plastic deformation of small-volume crystalline solids. The free surface may act as an effective source of dislocations to initiate and sustain plastic flow, in conjunction with bulk sources. Here, we develop an atomistic modeling framework to address the probabilistic nature of surface dislocation nucleation. We show the activation volume associated w...

This paper presents a sketch based mesh extrusion method, which is useful for intuitive, efficient geometric modeling of freeform polygonal objects. With our method, the user can extrude either a closed or open surface from the surface or the boundary of a given mesh by sketched input. Thus, compared to earlier methods, our method provides more flexibility for solving surface modeling problems....

Withdrawal of oil and gas from reservoirs causes a decrease in pore pressure and an increase in effective stress which results to a reservoir compaction. Reservoir compaction will result in surface subsidence through the elastic response of the subsurface. Usually in order to determine the subsidence above a hydrocarbon field, the reservoir compaction must be first calculated and then the effec...

In computer aided geometric design and computer graphics, high quality fair surfaces with G2 smoothness are sometimes required. In this paper we derive a general sixth order geometric partial differential equation from minimizing a curvature integral functional. The obtained equation is used to solve several surface modeling problems such as free-form surface design, surface blending and N-side...

We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modeling receptor-ligand dynamics. The model arises as a simplification of a mathematical model for the reaction between cell surface resident receptors and ligands present in the extracellular medium. We prove the existence and uniqueness of solutions. We also consider a number of biologically r...

In this paper we study a numerical method for the simulation of free surface flows of viscoplastic (Herschel-Bulkley) fluids. The approach is based on the level set method for capturing the free surface evolution and on locally refined and dynamically adapted octree cartesian staggered grids for the discretization of fluid and level set equations. A regularized model is applied to handle the no...