Publication: Extensions of Active Flux to arbitrary order of accuracy
Extensions of Active Flux to arbitrary order of accuracy
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Abgrall, R., & Barsukow, W. (2023). Extensions of Active Flux to arbitrary order of accuracy. ESAIM Mathematical Modelling and Numerical Analysis, 57(2), 991–1027. https://doi.org/10.1051/m2an/2023004
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Active Flux is a recently developed numerical method for hyperbolic conservation laws. Its classical degrees of freedom are cell averages and point values at cell interfaces. These latter are shared between adjacent cells, leading to a globally continuous reconstruction. The update of the point values includes upwinding, but without solving a Riemann Problem. The update of the cell average requires a flux at the cell interface, which can be immediately obtained using the point values. This paper explores different extensions of Active
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- Barsukow, Wasilij
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Abgrall, R., & Barsukow, W. (2023). Extensions of Active Flux to arbitrary order of accuracy. ESAIM Mathematical Modelling and Numerical Analysis, 57(2), 991–1027. https://doi.org/10.1051/m2an/2023004
