1 citations · 1 across the 3 of their papers we have counts for
3 papers
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…
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study
Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch
We study the cosmological Burgers model, as we call it, which is a nonlinear hyperbolic balance law (in one and two spatial variables) posed on an expanding or contracting backgrou…
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…