A non-iterative numerical approach for two-dimensional viscous flow problems governed by the Falkner-Skan equation

作者：Liao SJ^*

来源：International Journal for Numerical Methods in Fluids, 2001, 35(5): 495-518.

DOI：10.1002/1097-0363(20010315)35:5<495::AID-FLD987>3.3.CO;2-H

• direct numerical technique
• Falkner-Skan equation
• strong non-linearity
• viscous flow

In this paper, a non-iterative numerical approach for two-dimensional laminar viscous flow over a semi-infinite flat plane, governed by the Falkner-Skan equation is proposed. This approach can solve the non-linear Falkner-Skan equation without any iteration and verifies that a direct numerical approach could be proposed even for non-linear problems. Furthermore, this approach can also provide a family of iterative formulae, so that it logically contains traditional iterative techniques.

• 出版日期2001-3-15
• 单位上海交通大学