On uniformly high-order accurate residual distribution schemes for advection-diffusion.
RICCHIUTO, Mario
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
ABGRALL, Remi
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
See more >
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
RICCHIUTO, Mario
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
ABGRALL, Remi
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
Language
en
Article de revue
This item was published in
Journal of Computational and Applied Mathematics. 2008, vol. 215, n° 2, p. 547-556
Elsevier
English Abstract
We discuss preliminary results on the construction of uniformly high-order residual distribution $(\cal RD)$ type discretizations for steady advection-diffusion on unstructured grids. A properly designed scaling of the ...Read more >
We discuss preliminary results on the construction of uniformly high-order residual distribution $(\cal RD)$ type discretizations for steady advection-diffusion on unstructured grids. A properly designed scaling of the $(\cal RD)$ upwind stabilization with the physical viscosity allows to obtain schemes with uniform and arbitrary accuracy, on a very compact stencil. Second- and third-order examples are given to illustrate the potential of the approach.Read less <
English Keywords
residual distribution
very high-order schemes
compact schemes
numerical examples
finite elements
steady advection-diffusion
upwind stabilization
Origin
Hal imported