2009, English, Article edition: Explicit Runge-Kutta Residual Distribution schemes for Time Dependent Problems~: second order case Ricchiuto, Mario; Abgrall, Remi

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Bookmark: http://trove.nla.gov.au/version/205483
Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Explicit Runge-Kutta Residual Distribution schemes for Time Dependent Problems~: second order case
Author
  • Ricchiuto, Mario
  • Abgrall, Remi
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • In this paper we construct spatially consistent second order explicit discretizations for time dependent hyperbolic problems, starting from a given Residual Distribution (RD) discrete approximation of the steady operator. We explore the properties of the RD mass matrices necessary to achieve consistency in space, and finally show how to make use of second order mass lumping to obtain second order explicit schemes. The discussion is particularly relevant for schemes of the residual distribution type which we will use for all our numerical experiments. However, similar ideas can be used in the context of residual based finite volume discretizations.
  • HAL:inria-00406958, version 3
  • HAL:http:/​/​hal.inria.fr/​inria-00406958/​en/​
Language
  • English
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