Positivity-Preserving High Order Finite Volume HWENO Schemes for Compressible Euler Equations
作者: Xiaofeng CaiXiangxiong ZhangJianxian Qiu
作者单位: 1Xiamen University
2Purdue University
刊名: Journal of Scientific Computing, 2016, Vol.68 (2), pp.464-483
来源数据库: Springer Journal
DOI: 10.1007/s10915-015-0147-8
关键词: Positivity preservingHigh order accuracyHermite weighted essentially non-oscillatory schemeFinite volume schemeCompressible Euler equations
英文摘要: Abstract(#br)In this paper, we present a positivity-preserving high order finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme for compressible Euler equations based on the framework for constructing uniformly high order accurate positivity-preserving discontinuous Galerkin and finite volume schemes for Euler equations proposed in Zhang and Shu (J Comput Phys 230:1238–1248, 2011 ). The major advantages of the HWENO schemes is their compactness in the spacial field because the function and its first derivative are evolved in time and used in the reconstructions. On the other hand, the HWENO reconstruction tends to be more oscillatory than those of conventional WENO schemes. Thus positivity preserving techniques are more needed in HWENO schemes for the sake of...
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影响因子:1.71 (2012)

  • Euler 欧拉