Second order accurate volume tracking based on remapping for triangular meshes

摘要: This paper presents a second order accurate piecewise linear volume tracking based on remapping for triangular meshes. approach avoids the complexity of extending unsplit fluid algorithms, advection methods, The method is Lagrangian-Eulerian (LE) methods; therefore, it does not deal with edge fluxes and corner fluxes, flux corrections, as typical in algorithms. constructed three parts: Lagrangian phase, reconstruction phase phase. In original, Eulerian, grid projected along trajectories to obtain grids. practice, this projection handled through time integration velocity field vertices at each step. truncating material polygon mixed grid. Since approximation, interface represented by segment line, truncation mainly finding interface. Finding calculating line normal constant multi-fluid cell. Details applying two calculation differential geometric least squares (GLS) are given. While GLS exhibits approximation reproducing circular interfaces, (DLS) results first representation last part algorithm which materials from original one performed series intersection procedures. behavior investigated flow fields topology inducing large interfacial stretching tearing. Second accuracy obtained if well steps accurate.