Abstract
Extending single-component flow descriptions to two-component fluid flows represents only a small modelling generalization. For example, the standard conservation laws that described the dynamics of a single-component fluid flow may now be written for the two-component fluid mixture, augmented by an evolution equations that describe its composition. For two immiscible fluids, one may write an evolution equation for an indicator function whose given level-set tracks the material interface that separates them, thereby allowing to determine which volume in space is occupied by one fluid and which by the other. A major concern in numerical computations of multifluid dynamics is to ensure that fluid components remain in pressure equilibrium with each other across the material interface [1,2,5,6,7,15]. Within the class of shock-capturing schemes, such interfaces have non-zero thickness due to numerical diffusion, and pressure equilibrium need to be maintained across the interface transition.
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© 1998 Springer Science+Business Media Dordrecht
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Karni, S. (1998). A Level-Set Capturing Scheme for Compressible Interfaces. In: Toro, E.F., Clarke, J.F. (eds) Numerical Methods for Wave Propagation. Fluid Mechanics and Its Applications, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9137-9_11
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DOI: https://doi.org/10.1007/978-94-015-9137-9_11
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