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A New Multidimensional Hydrodynamics code based on Semidiscrete Central and WENO schemes

Tanvir Rahman·R. B. Moore
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Abstract

We present a new multidimensional classical hydrodynamics code based on Semidiscrete Central Godunov-type schemes and high order Weighted Essentially Non-oscillatory (WENO) data reconstruction. This approach is a lot simpler and easier to implement than other Riemann solver based methods. The algorithm incorporates elements of the Piecewise Parabolic Method (PPM) in the reconstruction schemes to ensure robustness and applications of high order reconstruction schemes. A number of one and two dimensional benchmark tests have been carried out to verify the code. The tests show that this new algorithm and code is comparable in accuracy, efficiency and robustness to others.

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Tanvir Rahman, R. B. Moore. 2005-11-25. A New Multidimensional Hydrodynamics code based on Semidiscrete Central and WENO schemes. https://arxiv.org/abs/astro-ph/0511728

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