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Angular Momentum preserving cell-centered Lagrangian and Eulerian schemes on arbitrary grids
Abstract
We address the conservation of angular momentum for cell-centered discretization of compressible fluid dynamics on general grids. We concentrate on the Lagrangian step which is also sufficient for Eulerian discretization using Lagrange+Remap. Starting from the conservative equation of the angular momentum, we show that a standard Riemann solver (a nodal one in our case) can easily be extended to update the new variable. This new variable allows to reconstruct all solid displacements in a cell, and is analogous to a partial Discontinuous Galerkin (DG) discretization. We detail the coupling with a second- order Muscl extension. All numerical tests show the important enhancement of accuracy for rotation problems, and the reduction of mesh imprint for implosion problems. The generalization to axi-symmetric case is detailed- info:eu-repo/semantics/article
- Journal articles
- cell-centered Lagrangian and Eulerian schemes
- Compressible fluid dynamics
- general grids
- angular momentum conservation
- conservation laws
- [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
- [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
- [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]