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- W3195992017 abstract "When constructing high-order schemes for solving hyperbolic conservation laws, the corresponding high-order reconstructions are commonly performed in characteristic spaces to eliminate spurious oscillations as much as possible. For multi-dimensional finite volume (FV) schemes, we need to perform the characteristic decomposition several times in different normal directions of the target cell, which is very time-consuming. In this paper, we propose a rotated characteristic decomposition technique which requires only one-time decomposition for multi-dimensional reconstructions. The rotated direction depends only on the gradient of a specific physical quantity which is cheap to calculate. This technique not only reduces the computational cost remarkably, but also controls spurious oscillations effectively. We take a third-order weighted essentially non-oscillatory finite volume (WENO-FV) scheme for solving the Euler equations as an example to demonstrate the efficiency of the proposed technique." @default.
- W3195992017 created "2021-08-30" @default.
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- W3195992017 creator A5017499312 @default.
- W3195992017 date "2021-08-11" @default.
- W3195992017 modified "2023-10-16" @default.
- W3195992017 title "A Rotated Characteristic Decomposition Technique for High-Order Reconstructions in Multi-dimensions" @default.
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- W3195992017 doi "https://doi.org/10.1007/s10915-021-01602-z" @default.
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