Mass-conserving front tracking for miscible two-phase flow
- Indiana Univ., Bloomington, IN (United States). Dept. of Chemistry
- State Univ. of New York, Stony Brook, NY (United States). Dept. of Applied Mathematics and Statistics
A critical analysis of the mass conservation properties of the jump discontinuity propagating algorithms in the front-tracking method of Glimm et al. is performed in the context of miscible, two-phase, incompressible flow in porous media. These algorithms do not enforce the conservation of mass properties of the hyperbolic system on any grid of finite discretization size. For the curve propagation algorithm, which is the core of the suite of discontinuity movement algorithms, the authors show that mass conservation errors vanish linearly with maximum mesh size of the moving grids. They present new curve propagation and redistribution algorithms which conserve mass for any grid of finite spacing. Analogously mass-conserving untangling routines have also been developed. They investigate the performance of the these new algorithms for diagonal five-spot computations.
- Sponsoring Organization:
- USDOE, Washington, DC (United States); Oak Ridge National Lab., TN (United States)
- DOE Contract Number:
- FG02-90ER25084
- OSTI ID:
- 532988
- Journal Information:
- SIAM Journal on Scientific Computing, Journal Name: SIAM Journal on Scientific Computing Journal Issue: 5 Vol. 18; ISSN 1064-8275; ISSN SJOCE3
- Country of Publication:
- United States
- Language:
- English
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