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An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations
[article]
2022
arXiv
pre-print
In this paper, we develop and present an arbitrary high order well-balanced finite volume WENO method combined with the modified Patankar Deferred Correction (mPDeC) time integration method for the shallow water equations. Due to the positivity-preserving property of mPDeC, the resulting scheme is unconditionally positivity preserving for the water height. To apply the mPDeC approach, we have to interpret the spatial semi-discretization in terms of production-destruction systems. Only small
arXiv:2110.13509v3
fatcat:zpmgjl55azgonjako7djdkzur4