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| Paper: |
High-Order Finite-Volume Methods on Locally-Structured Grids |
| Volume: |
406, Numerical Modeling of Space Plasma Flows: ASTRONUM - 2008 |
| Page: |
207 |
| Authors: |
Colella, P.; Dorr, M.; Hittinger, J.; McCorquodale, P.W.; Martin, D.F. |
| Abstract: |
We describe recent developments in high-order (greater than second-order) accurate finite-volume discretizations of partial differential equations (PDE) in divergence form. We will address a number of algorithmic issues that arise in these methods, including the choice of limiters for hyperbolic problems that preserve high-order accuracy; defining quadrature rules for fluxes on mapped grids that are freestream-preserving; and high-order interpolation of ghost cell values at block or refinement boundaries. |
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