An asymptotic preserving scheme for the shallow‐water equations with Manning friction using viscous correction of the HLL scheme
نویسندگان
چکیده
The aim of this article is to propose a numerical scheme for the shallow-water equations with Manning's friction source term able preserve diffusive regime, namely behavior solutions in long time and stiff limit. Because non-usual rescaling parameter, strongly nonlinear derivative operator involved limit development possessing property not straightforward. presented here based on perturbed HLL additional viscous terms.
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ژورنال
عنوان ژورنال: Numerical Methods for Partial Differential Equations
سال: 2023
ISSN: ['1098-2426', '0749-159X']
DOI: https://doi.org/10.1002/num.23030