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首页> 外文期刊>Journal of Computational Physics >Heuristic a posteriori estimation of error due to dissipation in finite volume schemes and application to mesh adaptation
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Heuristic a posteriori estimation of error due to dissipation in finite volume schemes and application to mesh adaptation

机译：启发式后验估计有限体积方案中的耗散误差，并将其应用于网格自适应

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A heuristic method is proposed to estimate a posteriori that part of the total discretization error which is attributable to the smoothing effect of added dissipation, for finite volume discretizations of the Euler equations. This is achieved by observing variation in a functional of the solution as the level of dissipation is varied, and it is deduced for certain testcases that the dissipation alone accounts for the majority of the functional error. Based on this result an error estimator and mesh adaptation indicator is proposed for functionals, relying on the solution of an adjoint problem. The scheme is considerably implementation ally simpler and computationally cheaper than other recently proposed a posteriori error estimators for finite volume schemes, but does not account for all sources of error. In mind of this, emphasis is placed on numerical evaluation of the performance of the indicator, and it is shown to be extremely effective in both estimating and reducing error for a range of 2d and 3d flows. (c) 2007 Elsevier Inc. All rights reserved.
机译：对于欧拉方程的有限体积离散化，提出了一种启发式方法来估计后验误差，该误差是总离散化误差的一部分，该误差可归因于附加耗散的平滑效应。这是通过观察耗散水平变化时解决方案功能的变化来实现的，并且可以得出结论，对于某些测试案例，耗散仅占功能误差的大部分。基于此结果，提出了针对误差的误差估计器和网格自适应指示符，以解决伴随问题为基础。与其他最近提出的用于有限体积方案的后验误差估计器相比，该方案在实现上要简单得多，并且计算上要便宜，但是并不能解决所有误差源。考虑到这一点，重点放在指标性能的数值评估上，并且它被证明在估计和减少2d和3d流量范围的误差方面非常有效。 （c）2007 Elsevier Inc.保留所有权利。

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