Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 54, Issue 2-3, Pages 454-491Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-012-9614-7
Keywords
Moment of fluid; Volume of fluid; Level set; Two-phase flow; Deforming boundaries
Categories
Funding
- National Science Foundation [DMS 0713256, DMS 1016381]
- United Technologies Research Center
- Sandia National Labs
- Sandia National Laboratories via the Early Career LDRD program
- US Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
- National Nuclear Security Administration of the US Department of Energy at Los Alamos National Laboratory [DE-AC52-06NA25396]
- DOE Advanced Simulation and Computing (ASC) program
- DOE Office of Science ASCR Program
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1016381] Funding Source: National Science Foundation
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A coupled level set and moment of fluid method (CLSMOF) is described for computing solutions to incompressible two-phase flows. The local piecewise linear interface reconstruction (the CLSMOF reconstruction) uses information from the level set function, volume of fluid function, and reference centroid, in order to produce a slope and an intercept for the local reconstruction. The level set function is coupled to the volume-of-fluid function and reference centroid by being maintained as the signed distance to the CLSMOF piecewise linear reconstructed interface. The nonlinear terms in the momentum equations are solved using the sharp interface approach recently developed by Raessi and Pitsch (Annual Research Brief, 2009). We have modified the algorithm of Raessi and Pitsch from a staggered grid method to a collocated grid method and we combine their treatment for the nonlinear terms with the variable density, collocated, pressure projection algorithm developed by Kwatra et al. (J. Comput. Phys. 228:4146-4161, 2009). A collocated grid method makes it convenient for using block structured adaptive mesh refinement (AMR) grids. Many 2D and 3D numerical simulations of bubbles, jets, drops, and waves on a block structured adaptive grid are presented in order to demonstrate the capabilities of our new method.
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