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Title: | Discontinuous galerkin for advection with interface-centered reconstruction | Authors: | Khieu Huu Loc Krzysztof Fidkowski Eric Johnsen |
Keywords: | Discontinuous galerkin;Advection;Interface-centered reconstruction | Issue Date: | 2016 | Conference name: | SCITECH 2016 | Abstract: | The Recovery-based Discontinuous Galerkin (RDG) discretization has been shown to be the most accurate among contemporary DG schemes for diffusion on a Cartesian grid. It achieves the order of accuracy 3p + 2 for even p and 3p + 1 for odd p, where p is the order of the polynomial basis. However, the overall performance of a Navier{Stokes simulation,using RDG for viscous terms, is limited to 2p+1 due to the DG discretization for advection. We describe two different approaches to improve the accuracy of the DG discretization for advection. The rst option is able to reach a maximal order of 4p + 3, albeit utilizing an enlarged computational stencil. The second one attains 3p+1 without enlarging the stencil. It is also computationally cheaper owing to the lower-order reconstruction. |
Duration: | 16-03-2016 | Conference venue: | San Diego, USA | URI(1): | http://epub.vgu.edu.vn/handle/dlibvgu/236 |
Appears in Collections: | Conference papers |
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Discontinuous galerkin for advection with interface-centered reconstruction.pdf | 276.98 kB | Adobe PDF | View/Open |
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