Interface reconstruction

Wang J, Ocko B M, Davenport A J and Isaacs H I 1992 In situ diffraction and reflectivity studies of the Au(111 )/electrolyte interface Reconstruction and anion adsorption Phys. Rev B 34 10 321-38... 

Likewise, efficient interface reconstruction algorithms and mixed cell thermodynamics routines have been developed to make three-dimensional Eulerian calculations much more affordable. In general, however, computer speed and memory limitations still prevent the analyst from doing routine three-dimensional calculations with the resolution required to be assured of numerically converged solutions. As an example. Fig. 9.29 shows the setup for a test involving the oblique impact of a copper ball on a hardened steel target... 

N. Ashgriz and J.Y. Poo, FLAIR Flux Line-Segment Model for Advection and Interface Reconstruction, J. Comput. Phys. 93 (1991). 

Surface SHG [4.307] produces frequency-doubled radiation from a single pulsed laser beam. Intensity, polarization dependence, and rotational anisotropy of the SHG provide information about the surface concentration and orientation of adsorbed molecules and on the symmetry of surface structures. SHG has been successfully used for analysis of adsorption kinetics and ordering effects at surfaces and interfaces, reconstruction of solid surfaces and other surface phase transitions, and potential-induced phenomena at electrode surfaces. For example, orientation measurements were used to probe the intermolecular structure at air-methanol, air-water, and alkane-water interfaces and within mono- and multilayer molecular films. Time-resolved investigations have revealed the orientational dynamics at liquid-liquid, liquid-solid, liquid-air, and air-solid interfaces [4.307]. 

One of the most popular VOF methods is that due to Hirt and Nichols (1981). This method uses an approximate interface reconstruction that forces the interface to align with one of the co-ordinate axis, depending on the prevailing direction of the interface normal. A schematic diagram of reconstruction of a two-dimensional interface is shown in Fig. 7.9. To compute fluxes in a direction parallel to the reconstructed interface, upwind fluxes are used. Fluxes in a direction perpendicular to the reconstructed interface are estimated using a donor-acceptor method. In a donor-acceptor method, a computational cell is identified as a donor of some amount of fluid from one phase and another neighbor cell is identified as the acceptor of that donated amount of fluid. The amount of fluid from one phase that can be convected (donated) across a cell boundary is limited by the minimum of the filled volume in the donor cell or the free volume in the acceptor cell. This minimizes numerical diffusion at the interface. 

The first generation methods that were proposed involved interface reconstruction and approximation of the singular interfacial term from the 2D interface properties. These models thus rely on a proper numerical procedure to locate the interface within the mesh based on the volume fraction field. The local curvature may then be calculated in each surface grid cell. 

Here, weights at the cell interfaces reconstructed from the volume-average... 

Ashgriz N, Poo JY (1991) FLAIR flux line-segment advection and interface reconstruction. Journal of Computational Physics 93(2) 449 68... 

Figure 1S.1 Interface reconstructions of fluid shown by (a) actual configuration (b) volume fraction (c) representation with simple line interface calculation (SLIC) and (d) piecewise linear interface calculation (PLIC) [12].

Combination of the volumetric phase fraction of the dispersed phase with the interface normal then allows a Piecewise Linear Interface Reconstruction (PLIC) [24]. It allows a reconstruction of the phase geometry inside the computational cells... 

During the transport of the/-field, the/-value is kept from falling below / = 10 within the lamella. Thereby these ceUs remain interface ceUs in the next time step, which in particular also ascertains that the interface reconstruction is performed in these cells. 

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