Publication: “A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics
“A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics
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Bacigaluppi, P., Abgrall, R., & Tokareva, S. (2023). “A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. Journal of Computational Physics, 476, 111898. https://doi.org/10.1016/j.jcp.2022.111898
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In this paper, we propose a novel approximation strategy for time-dependent hyperbolic systems of conservation laws for the Euler system of gas dynamics that aims to represent the dynamics of strong interacting discontinuities. The goal of our method is to allow an approximation with a high-order of accuracy in smooth regions of the flow, while ensuring robustness and a non-oscillatory behaviour in the regions of steep gradients, in particular across shocks. Following the Multidimensional Optimal Order Detection (MOOD) ([15,17]) appro
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Bacigaluppi, P., Abgrall, R., & Tokareva, S. (2023). “A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics. Journal of Computational Physics, 476, 111898. https://doi.org/10.1016/j.jcp.2022.111898