Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation
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DOI：
10.1016/j.jnnfm.2004.12.003
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发表时间：
2005-02-20
影响因子：
3.1
通讯作者：
Kupferman, R
中科院分区：
文献类型：
--
作者：
Fattal, R;Kupferman, R
我们提出了一个二阶有限差分格式的粘弹性流动的基础上最近重新制定的本构关系方程的矩阵对数的构象张量。我们提出了一个简单的分析，澄清如何通过对数变量补救高韦森堡数值不稳定性。作为一个严格的测试，我们模拟Oldrophil-B流体在盖驱动腔。该计划被发现是稳定的，在大的值的Weissenberg数。这些结果支持我们的主张，高Weissenberg数值不稳定性可以克服使用对数变量。剩下的问题与精度有关，精度会随着分辨率的不足而降低。(c)2005 Elsevier B. V.保留所有权利。
We present a second-order finite-difference scheme for viscoelastic flows based on a recent reformulation of the constitutive laws as equations for the matrix logarithm of the conformation tensor. We present a simple analysis that clarifies how the passage to logarithmic variables remedies the high-Weissenberg numerical instability. As a stringent test, we simulate an Oldroyd-B fluid in a lid-driven cavity. The scheme is found to be stable at large values of the Weissenberg number. These results support our claim that the high Weissenberg numerical instability may be overcome by the use of logarithmic variables. Remaining issues are rather concerned with accuracy, which degrades with insufficient resolution. (c) 2005 Elsevier B.V. All rights reserved.