Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity
Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity
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DOI：
10.1016/j.jcp.2016.05.058
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发表时间：
2016-09
期刊：
影响因子：
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通讯作者：
A. Adam;D. Pavlidis;J. Percival;P. Salinas;Ziqing Xie;F. Fang;C. Pain;A. Muggeridge;M. Jackson
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文献类型：
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作者：
A. Adam;D. Pavlidis;J. Percival;P. Salinas;Ziqing Xie;F. Fang;C. Pain;A. Muggeridge;M. Jackson
针对连续和不连续有限元表示对偶的控制体场动态和自适应网格划分，提出了一种通用的、高阶的、保守的有界插值方法。现有的技术，如节点插值，不是保守的，不容易推广到不连续的领域，而保守的方法，如Grandy插值，往往过于扩散。该方法采用控制体伽辽金投影在控制体域之间进行插值。利用插值后扩散校正保证了有界解。文中给出了该方法在平流过程中界面捕获和多相多孔介质流动建模中的应用实例，以证明该方法的通用性和鲁棒性。
A general, higher-order, conservative and bounded interpolation for the dynamic and adaptive meshing of control-volume fields dual to continuous and discontinuous finite element representations is presented. Existing techniques such as node-wise interpolation are not conservative and do not readily generalise to discontinuous fields, whilst conservative methods such as Grandy interpolation are often too diffusive. The new method uses control-volume Galerkin projection to interpolate between control-volume fields. Bounded solutions are ensured by using a post-interpolation diffusive correction. Example applications of the method to interface capturing during advection and also to the modelling of multiphase porous media flow are presented to demonstrate the generality and robustness of the approach.