Decay of Unstable Strong Discontinuities in the Case of a Convex-Flux Scalar Conservation Law Approximated by the CABARET Scheme
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DOI: 10.1134/s0965542518060155
Abstract: Monotonicity conditions for the CABARET scheme approximating a quasilinear scalar conservation law with a convex flux are obtained. It is shown that the monotonicity of the CABARET scheme for Courant numbers $$r \in (0.5,1]$$ does… read more here.
Keywords: scalar conservation; decay unstable; strong discontinuities; unstable strong ... See more keywords
CABARET Scheme as Applied to Numerical Approximation of Two-Fluid Flow Equations
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DOI: 10.1134/s0965542518090051
Abstract: The balance-characteristic method is used to approximate a two-fluid model for two-phase gas–liquid flows. The original system of equations is a hyperbolic one with different phase pressures and an additional equation for pressure relaxation. A… read more here.
Keywords: applied numerical; numerical approximation; approximation; two fluid ... See more keywords
On the Strong Monotonicity of the Two-Time-Level CABARET Scheme
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DOI: 10.1134/s2070048219010137
Abstract: The concept of the strong monotonicity of the two-time-level CABARET scheme is introduced. It suggests that the difference scheme does not increase the number of the generalized local extrema in the difference solution when passing… read more here.
Keywords: cabaret scheme; scheme; strong monotonicity; time level ... See more keywords