Well-Balanced Hydrodynamics for the Piecewise Parabolic Method with Characteristic Tracing

Michael Zingale

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arXiv · 2409.01848

Well-Balanced Hydrodynamics for the Piecewise Parabolic Method with Characteristic Tracing

Michael Zingale

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Abstract

Well-balanced reconstruction techniques have been developed for stellar hydrodynamics to address the challenges of maintaining hydrostatic equilibrium during evolution. I show how to adapt a simple well-balanced method to the piecewise parabolic method for hydrodynamics. A python implementation of the method is provided.

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Michael Zingale. 2024-09-03. Well-Balanced Hydrodynamics for the Piecewise Parabolic Method with Characteristic Tracing. https://arxiv.org/abs/2409.01848

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