A new approach based on the use of the Newton and level set methods allows to follow the motion of interfaces with surface tension immersed in an incompressible Newtonian fluid. Our method features the use of a high order fully implicit time integration scheme that circumvents the stability issues related to the explicit discretization of the capillary force when capillary effects dominate. A s...

Automated tool trajectory planning for spray-painting robots is still a challenging problem, especially for a large free-form surface. A grid approximation of a free-form surface is adopted in CAD modeling in this paper. A free-form surface model is approximated by a set of flat patches. We describe here an efficient and flexible tool trajectory optimization scheme using T-Bézier curves calcula...

In this paper, three-dimensional two phase turbulent free surface flow is solved by an in-house code. The incompressible Reynolds average Navier-Stocks equations (RANS) with k-ε turbulence model are solved by the finite volume method in the non-orthogonal curvilinear coordinates. For the modeling of the free surface effect, Lagrangian propagation volume tracking method (VOF-PLIC) is used. The c...

Bulk carriers have an important role in international maritime transport. In this paper, we carried out a numerical study on a model of bulk carrier vessel and calculated total resistance of the model. A model of a bulk carrier vessel with length of 2.76 m, breadth of 0.403 m and draught of 0.173 m was selected for numerical modeling. Numerical work was done by commercial CFD software ANSY...

Given the sophisticated nature of the blast phenomenon in relation to structures, it is of significance to accurately investigate the structure behavior under blast loads. Due to its rapid and transient nature, blast loading is one of the most important dynamic loadings on the structures. Since masonry materials are widely used as the partition and bearing walls in the existing and newly-built ...

7 We consider a set of equations modeling contact line dynamics. The model consists of the Navier–Stokes free surface flow with local slip-type boundary conditions and gradient surface ten-9 sion coupled with a mesoscopic local surface model (nonlinear degenerated equations) describes the surface tension variations. The dynamical contact angle and the local surface tension variations are 11 unk...

The development of full displacement field measurements as an alternative to the optical lever technique to measure the mechanical response for MEMS components in their environment calls for a modeling of chemically-induced mechanical fields (i.e., stress, strain, and displacements). As these phenomena usually arise from species adsorption, adsorbate modification or surface reconstruction, they...

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In order to explore a new approach to construct surfaces bounded by geodesics or lines of curvature, a method of surface modeling based on fourth-order partial differential equations (PDEs) is presented. Compared with the free-form surface modeling based on finding control points, PDE-based surface modeling has the following three advantages. First, the corresponding biharmonic surface can natu...