An ALE Formulation for Explicit Runge-Kutta Residual Distribution

被引：7

作者：

Arpaia, L. ^{[1
]}

Ricchiuto, M. ^{[2
]}

Abgrall, R. ^{[3
]}

机构：

[1] INRIA, Team Bacchus, F-33405 Talence, France

[2] Univ Bordeaux 1, Team Bacchus, INRIA, F-33405 Bordeaux, France

[3] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2015年 / 63卷 / 02期

关键词：

Compressible fluid; ALE; Unstructured meshes; Residual distribution; Stabilized finite element methods; 2ND-ORDER ACCURATE MONOTONE; DISTRIBUTION SCHEMES; CONSERVATION-LAWS; MESHES; CONSTRUCTION; FLOWS;

D O I：

10.1007/s10915-014-9910-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：502 / 547

页数：46

共 45 条

[1] Essentially non-oscillatory Residual Distribution schemes for hyperbolic problems [J].