Abstract
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 flows past complex configurations. For stabilization, only a fourth-order-accurate artificial dissipation term in the momentum equations is used. The finite element method (FEM) with an explicit time-marching scheme based on two-fractional-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 flow past a sphere at various Reynolds numbers and the flow around the fuselage of a helicopter are successfully solved. Comparison of the results with the low-order solutions indicates that the flow details are depicted clearly even with coarse grids.
Original language | English |
---|---|
Pages (from-to) | 985-1001 |
Number of pages | 17 |
Journal | International Journal for Numerical Methods in Fluids |
Volume | 25 |
Issue number | 9 |
DOIs | |
Publication status | Published - 15 Nov 1997 |
Keywords
- High order accurate
- Incompressible viscous flow