A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD
作者： Dominik Derigs , Andrew R. Winters , Gregor J. Gassner , Stefanie Walch
DOI: 10.1016/J.JCP.2016.10.055
关键词: Entropy (energy dispersal) 、 Dissipation 、 Configuration entropy 、 Classical mechanics 、 Mathematics 、 Discretization 、 Boltzmann's entropy formula 、 Maximum entropy thermodynamics 、 Joint quantum entropy 、 Maximum entropy spectral estimation 、 Applied mathematics
摘要: Entropy stable schemes can be constructed with a specific choice of the numerical flux function. First, an entropy conserving is constructed. Secondly, dissipation term added to this guarantee discrete entropy. Present works in field are concerned thorough derivations conservative fluxes for ideal MHD. However, as we show work, if operator not very way, it cannot lead generally scheme.The two main findings presented paper that Ismail & Roe easily break down certain initial conditions commonly found astrophysical simulations, and special care must taken derivation matrix scheme robust.We present convenient novel averaging procedure evaluate Jacobians MHD compressible Euler equations yields discretization favorable robustness properties.
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