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A simple least-squares method for FE analysis of the Navier-Stokes problem

✍ Scribed by R. Harbord; M. Gellert

Publisher
Springer
Year
1991
Tongue
English
Weight
390 KB
Volume
8
Category
Article
ISSN
0178-7675

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✦ Synopsis

A new least squares formulation of the incompressible Navier-Stokes problem, suitable for parallel EBE minimization, is presented. It enables construction of simple 2D and 3D C~ finite elements for all the primary variables. Those include the primitive variables and vorticity so that satisfaction of a broad class of boundary conditions is possible. FE error estimates in terms of an "energy" norm are presented and optimal interpolation of the various variables is discussed. The convergence rate was successfully tested upon simple examples with known reliable results.

📜 SIMILAR VOLUMES

Least-squares meshfree method for incomp
Least-squares meshfree method for incompressible Navier–Stokes problems
✍ Xiang Kun Zhang; Kie-Chan Kwon; Sung-Kie Youn 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 518 KB

## Abstract A least‐squares meshfree method based on the first‐order velocity–pressure–vorticity formulation for two‐dimensional incompressible Navier–Stokes problem is presented. The convective term is linearized by successive substitution or Newton's method. The discretization of all governing eq