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Accurate 3D viscous incompressible flow calculations with the FEM

✍ Scribed by Ü. Güļat; A. R. Aslan

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
705 KB
Volume
25
Category
Article
ISSN
0271-2091

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✦ Synopsis

A second-order-accurate (in both time and space) formulation is developed and implemented for solution of the three-dimensional incompressible Navier±Stokes equations involving high-Reynolds-number ¯ows past complex con®gurations. For stabilization, only a fourth-order-accurate arti®cial dissipation term in the momentum equations is used. The ®nite element method (FEM) with an explicit time-marching scheme based on twofractional-step integration is used for solution of the momentum equations. The element-by-element (EBE) technique is employed for solution of the auxiliary potential function equation in order to ease the memory requirements for matrix. The cubic cavity problem, the laminar ¯ow past a sphere at various Reynolds numbers and the ¯ow around the fuselage of a helicopter are successfully solved. Comparison of the results with the loworder solutions indicates that the ¯ow details are depicted clearly even with coarse grids.

📜 SIMILAR VOLUMES

Finite Difference Methods for 3D Viscous
Finite Difference Methods for 3D Viscous Incompressible Flows in the Vorticity–Vector Potential Formulation on Nonstaggered Grids
✍ Weinan E; Jian-Guo Liu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 917 KB

Simple, efficient, and accurate finite difference methods are introduced for 3D unsteady viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids. Two different types of methods are discussed. They differ in the implementation of the normal component of the vo