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首页> 外文期刊>Journal of Computational Physics >Compact high order finite volume method on unstructured grids IV: Explicit multi-step reconstruction schemes on compact stencil
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Compact high order finite volume method on unstructured grids IV: Explicit multi-step reconstruction schemes on compact stencil

机译：非结构化网格IV的紧凑高阶有限体积方法：Compact Stencent上的显式多步重构方案

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摘要

In the present paper, a multi-step reconstruction procedure is proposed for high order finite volume schemes on unstructured grids using compact stencil. The procedure is a recursive algorithm that can eventually provide sufficient relations for high order reconstruction in a multi-step procedure. Two key elements of this procedure are the partial inversion technique and the continuation technique. The partial inversion can be used not only to obtain lower order reconstruction based on existing reconstruction relations, but also to regularize the existing reconstruction relations to provide new relations for higher order reconstructions. The continuation technique is to extend the regularized relations on the face-neighboring cells to current cell as additional reconstruction relations. This multi-step procedure is operationally compact since in each step only the relations defined on a compact stencil are used. In the present paper, the third and fourth order finite volume schemes based on two-step quadratic and three-step cubic reconstructions are studied. (C) 2019 Elsevier Inc. All rights reserved.
机译：本文提出了一种基于紧凑模板的非结构网格高阶有限体积格式的多步重构方法。该过程是一种递归算法，最终可以在多步过程中为高阶重建提供足够的关系。该程序的两个关键要素是部分反演技术和延拓技术。部分反演不仅可以在现有重建关系的基础上获得低阶重建，还可以对现有重建关系进行正则化，为高阶重建提供新的关系。延拓技术是将人脸相邻单元上的正则化关系扩展到当前单元，作为额外的重建关系。这种多步骤程序在操作上是紧凑的，因为在每个步骤中只使用紧凑模板上定义的关系。本文研究了基于两步二次和三步三次重构的三阶和四阶有限体积格式。（C） 2019爱思唯尔公司版权所有。

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