An abstract definition of cell centered Lagrangian schemes
✍ Scribed by Bruno Després
- Book ID
- 108255441
- Publisher
- Elsevier
- Year
- 2010
- Tongue
- English
- Weight
- 356 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1877-0509
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A new Lagrangian cell-centered scheme for two-dimensional compressible flows in planar geometry is proposed by Maire et al. The main new feature of the algorithm is that the vertex velocities and the numerical puxes through the cell interfaces are all evaluated in a coherent manner contrary to stand
We study the consistency in the weak sense of the cell-centered Lagrangian scheme GLACE. The main result is that GLACE is weakly consistent on general meshes in any dimension. The proof relies on a new formula for some geometric vectors defined at the corners of the cell, and which are basic Lagrang