Forward marching procedure for separated boundary-layer flows
Forward marching procedure for separated boundary-layer flows
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分离边界层流的前行程序
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
S. Wornom
中科院分区：
文献类型：
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作者：
J. Carter;S. Wornom
提出了一种分离边界层流动的前进法，可以快速、准确地求解有限范围内的流动。文中忽略了逆流区涡量的流向对流，并将该近似引入到先前发展的(Carter，1974)逆边界层过程中。方程的求解采用Crank-Nicolson有限差分格式，其中列迭代在每个流向站点进行。通过在有限差分方程组中引入类时间项，消除了列迭代中遇到的不稳定性。这提供了无条件的对角优势和列迭代格式，通过冯·诺伊曼稳定性分析发现该格式是稳定的。
A forward-marching procedure for separated boundary-layer flows which permits the rapid and accurate solution of flows of limited extent is presented. The streamwise convection of vorticity in the reversed flow region is neglected, and this approximation is incorporated into a previously developed (Carter, 1974) inverse boundary-layer procedure. The equations are solved by the Crank-Nicolson finite-difference scheme in which column iteration is carried out at each streamwise station. Instabilities encountered in the column iterations are removed by introducing timelike terms in the finite-difference equations. This provides both unconditional diagonal dominance and a column iterative scheme, found to be stable using the von Neumann stability analysis.