Finite Element Solution of a Stream Function-Vorticity System and Its Application to the Navier Stokes Equations

• 作者: Fattehallah Ghadi Mohamed Wakrim Vitoriano Ruas
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Characteristics Method NAVIER-STOKES STREAM FUNCTION VORTICITY
• 年，卷（期）: 2013,（1）
• 页码范围: 257-262
• 页数: 6页
• 分类号: O1

摘要

The finite element solution of a generalized Stokes system in terms of the flow variables stream function and vorticity is studied. This system results from a time discretization of the time-dependent Stokes system in stream function-vorticity formulation, or yet by the application of the characteristics method to solve the Navier-Stokes equations in the same representation. Numerical results presented for both cases illustrate the good behaviour of the adopted approach.