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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >A numerical method for simulation of incompressible three-dimensional newtonian and non-newtonian flows
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A numerical method for simulation of incompressible three-dimensional newtonian and non-newtonian flows

机译：不可压缩三维牛顿流和非牛顿流模拟的数值方法

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摘要

Three-dimensional Newtonian and non-Newtonian flows are found in numerous engineering applications. Simulation of this class of problems requires robust mathematical and computational modeling. The main goal of this article is to propose a unified numerical methodology for solving three-dimensional, laminar, incompressible Newtonian and non-Newtonian steady flows. A second-order, fully implicit finite-difference approximation is used to discretize the governing equations in a collocated mesh, in which Jacobian matrices are derived to account for distinct constitutive relations for Newtonian and non-Newtonian fluids. The strategy also uses a Euler implicit pseudo-transient time stepping aiming at steady-state solutions. Examples illustrating Newtonian and non-Newtonian (polymer melts) fluid flow in 3-D geometries are discussed.
机译：在许多工程应用中都可以找到三维牛顿流和非牛顿流。这类问题的仿真需要强大的数学和计算模型。本文的主要目的是提出一种统一的数值方法，用于求解三维，层状，不可压缩的牛顿和非牛顿稳态流。使用二阶完全隐式有限差分近似法离散化并置网格中的控制方程，其中推导雅可比矩阵以说明牛顿流体和非牛顿流体的不同本构关系。该策略还针对稳态解使用了Euler隐式伪瞬态时间步长。讨论了说明3D几何形状中的牛顿和非牛顿（聚合物熔体）流体流动的示例。

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