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math.NA2019
A Well-Balanced Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations
Alexander Kurganov, Yongle Liu, Vladimir Zeitlin
We develop a well-balanced central-upwind scheme for rotating shallow water model with horizontal temperature and/or density gradients---the thermal rotating shallow water (TRSW).…
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…