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首页> 外文期刊>Journal of Computational Physics >A NEW FINITE-DIFFERENCE DIFFUSION SCHEME
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A NEW FINITE-DIFFERENCE DIFFUSION SCHEME

机译：一个新的有限差分扩散方案

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A new second-order accurate, explicit diffusion scheme is presented and discussed. The scheme is derived as a weighted average of the conventional, forward-in-time, explicit diffusion scheme over one grid length and the same scheme, but over two grid lengths. Varying the weighting factors produces a family of schemes. For optimum use, a new scheme with the weighting factor dependent on the viscous stability number is proposed, It is slightly more computationally expensive than the conventional explicit scheme (typically by 25%) but is numerically stable at viscous stability numbers four times as large. Further, it is about 20% computationally less expensive than the fully implicit scheme even in the simplest one-dimensional model. This ''three-level, locally implicit'' scheme has been implemented in both a simple one-dimensional diffusion model and also in a complex three-dimensional large-eddy simulation model. It has been found to behave well and is profitable in both models. (C) 1996 British Crown Copyright. [References: 5]
机译：提出并讨论了一种新的二阶精确，显式扩散方案。该方案是在一个栅格长度和相同方案但在两个栅格长度上的常规，时间正向，显式扩散方案的加权平均值得出的。改变加权因子产生一系列方案。为了最佳使用，提出了一种权重因子取决于粘性稳定性数的新方案，该方案比常规的显式方案（通常降低25％）在计算上略微昂贵，但是在粘性稳定性数为四倍的情况下在数值上稳定。此外，即使在最简单的一维模型中，其计算成本也比完全隐式方案便宜20％。这种“三级，局部隐式”方案已在简单的一维扩散模型和复杂的三维大涡模拟模型中实现。人们发现它在两个模型中都表现良好并且有利可图。 （C）1996英国王室版权。 [参考：5]

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