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Center for Nonlinear Studies |
Moment-of-Fluid (MOF) is a piecewise linear interface reconstruction method that tracks fluid through its volume fraction and centroid, which are deduced from the zeroth and first moments. Given these volume fractions and centroids, the interfaces are reconstructed by straight line segments such that the polygon matches the prescribed volume. To this end, the interface update is done minimizing the discrepancy between the given centroid and the centroid of the polygon behind the interface, and no information from neighboring cells is required. This method is exact for linear interfaces and is second-order accurate for smoothly curved interfaces. It can represent and reconstruct interfaces in multiphase flow simulation (more than two fluids). We propose an analytical solution to the minimization process on rectangular cells that reduces the computational cost. This algorithm is implemented in the Notus framework, a new open-source CFD code (http://notus-cfd.org/ ) for incompressible flows on Cartesian grids designed to run on massively parallel supercomputers.
Host: Mikhail Shashkov