Publication: Stationarity preservation properties of the active flux scheme on cartesian grids
Stationarity preservation properties of the active flux scheme on cartesian grids
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Barsukow, W. (2023). Stationarity preservation properties of the active flux scheme on cartesian grids. Communications on Applied Mathematics and Computation, 5, 638–652. https://doi.org/10.1007/s42967-020-00094-2
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Hyperbolic systems of conservation laws in multiple spatial dimensions display features absent in the one-dimensional case, such as involutions and non-trivial stationary states. These features need to be captured by numerical methods without excessive grid refinement. The active flux method is an extension of the finite volume scheme with additional point values distributed along the cell boundary. For the equations of linear acoustics, an exact evolution operator can be used for the update of these point values. It incorporates all
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Barsukow, W. (2023). Stationarity preservation properties of the active flux scheme on cartesian grids. Communications on Applied Mathematics and Computation, 5, 638–652. https://doi.org/10.1007/s42967-020-00094-2
