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首页> 外文期刊>Journal of Computational Physics >Direct numerical simulation of scalar transport using unstructured finite-volume schemes
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Direct numerical simulation of scalar transport using unstructured finite-volume schemes

机译：使用非结构化有限体积格式的标量传输的直接数值模拟

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摘要

An unstructured finite-volume method for direct and large-eddy simulations of scalar transport in complex geometries is presented and investigated. The numerical technique is based on a three-level fully implicit time advancement scheme and central spatial interpolation operators. The scalar variable at cell faces is obtained by a symmetric central interpolation scheme, which is formally first-order accurate, or by further employing a high-order correction term which leads to formal second-order accuracy irrespective of the underlying grid. In this framework, deferred-correction and slope-limiter techniques are introduced in order to avoid numerical instabilities in the resulting algebraic transport equation. The accuracy and robustness of the code are initially evaluated by means of basic numerical experiments where the flow field is assigned a priori. A direct numerical simulation of turbulent scalar transport in a channel flow is finally performed to validate the numerical technique against a numerical dataset established by a spectral method. In spite of the linear character of the scalar transport equation, the computed statistics and spectra of the scalar field are found to be significantly affected by the spectral-properties of interpolation schemes. Although the results show an improved spectral-resolution and greater spatial-accuracy for the high-order operator in the analysis of basic scalar transport problems, the low-order central scheme is found superior for high-fidelity simulations of turbulent scalar transport. (c) 2008 Elsevier Inc. All rights reserved.
机译：提出并研究了复杂几何中标量输运的直接和大涡模拟的非结构化有限体积方法。数值技术基于三级完全隐式时间提前方案和中央空间插值算子。通过对称的中央插值方案（正式上是一阶准确的）或通过进一步使用导致形式上的二阶精度的高阶校正项（与下层网格无关），可以获取单元面上的标量变量。在此框架中，引入了延迟校正和斜率限制器技术，以避免生成的代数传递方程中的数值不稳定性。编码的准确性和鲁棒性首先通过基本数字实验评估，其中先验地指定了流场。最后，对通道流中的湍流标量传输进行了直接数值模拟，以针对通过谱方法建立的数值数据集验证数值技术。尽管标量输运方程具有线性特征，但发现计算的统计量和标量场的光谱会受到插值方案的光谱属性的显着影响。尽管结果表明，在分析基本标量传输问题时，高阶算子具有更高的光谱分辨率和更高的空间精度，但发现低阶中心方案对于湍流标量传输的高保真度模拟而言更为优越。 （c）2008 Elsevier Inc.保留所有权利。

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