A kinetic flux vector splitting scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients
نویسندگان
چکیده
منابع مشابه
Central-Upwind Scheme for Shallow Water Equations with Discontinuous Bottom Topography
Finite-volume central-upwind schemes for shallow water equations were proposed in [A. Kurganov and G. Petrova, Commun. Math. Sci., 5 (2007), 133–160]. These schemes are capable of maintaining “lake-at-rest” steady states and preserving the positivity of the computed water depth. The well-balanced and positivity preserving features of the central-upwind schemes are achieved, in particular, by us...
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The kinetic flux vector splitting (KFVS) scheme, when used for quantum Euler equations, as was done by Yang et al [22], requires the integration of the quantum Maxwellians (Bose-Einstein and Fermi-Dirac distributions), giving a numerical flux much more complicated than the classical counterpart. As a result, a nonlinear 2 by 2 system that connects the macroscopic quantities temperature and fuga...
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We introduce a central-upwind scheme for oneand two-dimensional systems of shallow-water equations with horizontal temperature gradients (the Ripa system). The scheme iswell-balanced, positivity preserving and does not develop spurious pressure oscillations in the neighborhood of temperature jumps, that is, near the contact waves. Such oscillations would typically appear when a conventional God...
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ژورنال
عنوان ژورنال: PLOS ONE
سال: 2018
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0197500