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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >MONOTONIC, MULTIDIMENSIONAL FLUX DISCRETIZATION SCHEME FOR ALL PECLET NUMBERS
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MONOTONIC, MULTIDIMENSIONAL FLUX DISCRETIZATION SCHEME FOR ALL PECLET NUMBERS

机译：所有Peclet数的单调，多维通量离散方案

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The focus of this work is to resolve discontinuities in the flow by a hybrid scheme comprising two classes of flux discretization schemes. Construction of a stiffness matrix having the M-matrix property is desirable in finite-element codes for capturing a solution profile with an appreciable gradient. in this study, two finite-element formulations capable of yielding an irreducible diagonal dominant type of matrix equation are proposed and compared. The first class of finite-element method is suited for high-Peclet-number problems and is formulated within the Galerkin context. The other class of upwind scheme, which is applicable to lower-Peclet-number flows, falls into the Petrov-Galerkin category. The finite-element test and basis spaces are spanned by Legendre polynomials. Assessment studies are made, with emphasis on the accuracy and stability of the solution. We also address the sensitivity of this scheme to Peclet numbers in obtaining monotonic solutions. Numerical investigation reveals that the proposed scheme is effective in producing monotonic solutions at high- and low-Peclet-number conditions. [References: 23]
机译：这项工作的重点是通过包含两类通量离散化方案的混合方案解决流动中的不连续性。具有M矩阵属性的刚度矩阵的构造在有限元代码中是理想的，以捕获具有明显梯度的解轮廓。在这项研究中，提出并比较了两个能够产生矩阵方程的对角占优主导类型的有限元公式。第一类有限元方法适用于高Peclet数问题，并在Galerkin上下文中提出。适用于低佩克雷特数流的另一类迎风方案属于Petrov-Galerkin类别。有限元检验和基空间由勒让德多项式覆盖。进行评估研究，重点是解决方案的准确性和稳定性。在获得单调解时，我们还解决了该方案对Peclet数的敏感性。数值研究表明，该方案可有效地在高和低佩克雷特数条件下产生单调解。 [参考：23]

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