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- W3021346213 endingPage "104528" @default.
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- W3021346213 abstract "WENO (Weighted essentially non-oscillatory)-type reconstruction schemes are used to work as a limiter that preserves cylindrical symmetry for radial shock flows on an equal-angle polar mesh in Lagrangian hydrodynamics. These WENO-type limiters are tested with a high-order Lagrangian discontinuous Galerkin (DG) hydrodynamic method. In order to guarantee the compactness of the underlying DG methods, for strong shock problems, canonical WENO and Hermite WENO reconstructions are used for second-order DG(P1) and third-order DG(P2) respectively, using the known DG solution for the target cell as the central stencil. A salient feature of Hermite WENO lies in taking advantage of available information, namely the derivatives that are evolved with the DG method. With a local orthonormal basis or a local characteristic decomposition, the WENO-type reconstruction schemes can guarantee the cylindrical symmetry for Lagrangian hydrodynamics. A suite of challenging test problems are calculated to demonstrate the accuracy and robustness of these WENO-type schemes." @default.
- W3021346213 created "2020-05-13" @default.
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- W3021346213 creator A5043053904 @default.
- W3021346213 date "2020-06-01" @default.
- W3021346213 modified "2023-09-23" @default.
- W3021346213 title "Symmetry-preserving WENO-type reconstruction schemes in Lagrangian hydrodynamics" @default.
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- W3021346213 doi "https://doi.org/10.1016/j.compfluid.2020.104528" @default.
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