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- W1996804583 abstract "The nonhyperbolicity of the simplest, single pressure, formulation of the multiphase flow equations has apparently raised concerns in the literature about their usefulness. It is shown, by a number of examples, that when properly interpreted these equations may be solved without explicit regularizing terms by the use of faithful numerical schemes, which preserve the positivity and conservation properties of the physical system. Specifically, nonlinear systems with suitable structure are considered with respect to a class of finite-difference schemes. When the mesh size Δx (say) satisfies the inequalities 1/kmax ≈ Δx ⪡ L, where kmax is the largest limiting wave-number for the validity of the equations and L is a typical linear dimension, such schemes are shown to produce accurate, stable results irrespective of the hyperbolicity or otherwise of the governing partial differential equations." @default.
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- W1996804583 date "1989-12-01" @default.
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- W1996804583 title "The nonhyperbolicity of multiphase flow equations: A nonlinear nonproblem?" @default.
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- W1996804583 doi "https://doi.org/10.1016/0010-4655(89)90012-x" @default.
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