Ping Lin

TL;DR: The improved numerical algorithm based on the front tracking method, originally proposed by Tryggvason and his co-workers, is extended to simulate 3D bubbles rising in viscous liquids with high Reynolds and Bond numbers and with large density and viscosity ratios representative of the common air-water two-phase flow system.

TL;DR: In this paper, a radial point interpolation method (radial PIM) is proposed to solve Biot's consolidation problem using meshless method called a radial PIM, which is advantageous over the meshless methods based on moving least-square (MLS) method in implementation of essential boundary condition and over the original PIM with polynomial basis in avoiding singularity when shape functions are constructed.

TL;DR: Noise removal and vessel localization are achieved by a multiscale hierarchical decomposition of the normalized enhanced image, and a binary map of the vasculature is obtained by locally adaptive thresholding, generating a threshold surface based on the vessel edge information extracted by the previous processes.

TL;DR: This paper investigates numerically a diffuse interface model for the Navier–Stokes equation with fluid–fluid interface when the fluids have different densities and designs a C 0 finite element method and a special temporal scheme where the energy law is preserved at the discrete level.

TL;DR: In this article, a phase-field model for binary incompressible (quasi-incompressible) fluid with thermocapillary effects was developed, which allows for the different properties (densities, viscosities and heat conductivities) of each component while maintaining thermodynamic consistency.