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An ALE formulation for explicit Runge–Kutta residual distribution


Arpaia, Luca; Ricchiuto, Mario; Abgrall, Rémi (2015). An ALE formulation for explicit Runge–Kutta residual distribution. Journal of Scientific Computing, 63(2):502-547.

Abstract

In this paper we consider the solution of hyperbolic conservation laws on moving meshes by means of an Arbitrary Lagrangian Eulerian (ALE) formulation of the Runge–Kutta Residual Distribution (RD) schemes of Ricchiuto and Abgrall (J Comput Phys 229(16):5653–5691, 2010). Up to the authors knowledge, the problem of recasting RD schemes into ALE framework has been solved with first order explicit schemes and with second order implicit schemes. Our resulting scheme is explicit and second order accurate when computing discontinuous solutions.

Abstract

In this paper we consider the solution of hyperbolic conservation laws on moving meshes by means of an Arbitrary Lagrangian Eulerian (ALE) formulation of the Runge–Kutta Residual Distribution (RD) schemes of Ricchiuto and Abgrall (J Comput Phys 229(16):5653–5691, 2010). Up to the authors knowledge, the problem of recasting RD schemes into ALE framework has been solved with first order explicit schemes and with second order implicit schemes. Our resulting scheme is explicit and second order accurate when computing discontinuous solutions.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1 May 2015
Deposited On:03 Feb 2016 10:35
Last Modified:05 Apr 2016 20:03
Publisher:Springer
ISSN:0885-7474
Publisher DOI:https://doi.org/10.1007/s10915-014-9910-5

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