Adaptive numerical advection. The coordinate transformation equation method

作者： | Martin Balluch |

作者单位： |
^{1}Cambridge Centre for Atmospheric Science, University of Cambridge, Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge, CB3 9EW, UK |

刊名： | Computer Physics Communications, 1995, Vol.89 (1), pp.91-117 |

来源数据库： | Elsevier Journal |

DOI： | 10.1016/0010-4655(94)00188-8 |

原始语种摘要： | Abstract(#br)In many hydrodynamical applications, advection is the most important dynamical process. Advected quantities typically develop greatly disparate spatial scales because of the inherent non-linearity of advection. A method is outlined how to tackle this process numerically. The basic idea of the coordinate transformation equation (CTE) method is to introduce a moving coordinate system in physical space before applying any discretisation. This keeps the problem of discretisation separate from the problem of adaptation. In the new coordinate system, which changes in time, the effects on the numerical representation of the advection terms are twofold. Firstly, the advection is with respect to a relative velocity between coordinates and flow, which is arranged to be less than the... |