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ENTROPY-BASED CORRECTION OF FINITE-DIFFERENCE PREDICTIONS

机译:基于熵的有限差分预测

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摘要

A method of improving the accuracy of finite-difference techniques using an entropy-based correction is presented. This method uses the results of a (con-entropy-based) finite-difference prediction to characterize the differential entropy transfers and generation. A system of second-law equations is. subsequently solved to improve the initial finite-difference approximation. The increase in accuracy is particularly dramatic when fluctuations in the thermodynamic properties of the substances being considered are a dominant cause of discretization error. Entropy-based correction eliminates nonphysical solutions by ensuring that the nodal entropy generation rate is positive. This article describes entropy-based correction and presents two examples that illustrate the technique and demonstrate its effectiveness. [References: 7]
机译:提出了一种使用基于熵的校正来提高有限差分技术精度的方法。该方法使用(基于熵)有限差分预测的结果来表征差分熵的传递和生成。第二定律方程组是。随后解决以提高初始有限差分近似。当所考虑物质的热力学性质波动是离散化误差的主要原因时,精度的提高尤其显着。基于熵的校正通过确保节点熵产生速率为正来消除非物理解。本文介绍了基于熵的校正,并提供了两个示例来说明该技术并证明其有效性。 [参考:7]

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