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math.NA2020
An adaptive central-upwind scheme on quadtree grids for variable density shallow water equations
Mohammad A. Ghazizadeh, Abdolmajid Mohammadian
Minimizing computational cost is one of the major challenges in the modelling and numerical analysis of hydrodynamics, and one of the ways to achieve this is by the use of quadtree…
math.NA2019
An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations
Mohammad A. Ghazizadeh, Abdolmajid Mohammadian, Alexander Kurganov
We present an adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. The use of quadtree grids results in a robust, effic…