Publication: High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids
High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids
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Abgrall, R., de Santis, D., & Ricchiuto, M. (2014). High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. SIAM Journal on Scientific Computing, 36(3), A955–A983. https://doi.org/10.1137/12090143X
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This paper deals with the construction of a class of high-order accurate residual distribution schemes for advection-diffusion problems using conformal meshes. The problems considered range from pure diffusion to pure advection. The approximation of the solution is obtained using standard Lagrangian finite elements and the total residual of the problem is constructed taking into account both the advective and the diffusive terms in order to discretize with the same scheme both parts of the governing equation. To cope with the fact tha
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- de Santis, Dante
- Ricchiuto, M
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Abgrall, R., de Santis, D., & Ricchiuto, M. (2014). High-order preserving residual distribution schemes for advection-diffusion scalar problems on arbitrary grids. SIAM Journal on Scientific Computing, 36(3), A955–A983. https://doi.org/10.1137/12090143X
