Contact discontinuity capturing schemes for linear advection and compressible gas dynamics

被引：77
作者：
Després B. [1 ,2 ]
Lagoutière F. [1 ]
机构：
[1] Laboratoire d'Analyse Numérique, Université P. et M. Curie, 75005 Paris, 4, place Jussieu
[2] Commissariat à l'Énergie Atomique, CEA/DIF, 91680 Bruyeres-le-Chatel
来源：
Journal of Scientific Computing | 2001年 / 16卷 / 4期
关键词：
Contact discontinuity capturing scheme; Euler system; Linear advection; TVD limiter;
D O I：
10.1023/A:1013298408777
中图分类号：
学科分类号：
摘要：
We present a non-diffusive and contact discontinuity capturing scheme for linear advection and compressible Euler system. In the case of advection, this scheme is equivalent to the Ultra-Bee limiter of [24], [29]. We prove for the Ultra-Bee scheme a property of exact advection for a large set of piecewise constant functions. We prove that the numerical error is uniformly bounded in time for such prepared (i.e., piecewise constant) initial data, and state a conjecture of non-diffusion at infinite time, based on some local over-compressivity of the scheme, for general initial data. We generalize the scheme to compressible gas dynamics and present some numerical results. © 2002 Plenum Publishing Corporation.
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页码：479 / 524
页数：45
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