High-order compact projection method for solving unsteady Navier-Stokes/Boussinesq equations
A new fourth-order combined compact upwind (CCU) scheme which improves the capability of capturing the small scale structures greatly was employed for solving the NavierStokes/Boussinesq equations based on the projection method. The method was employed to conduct the numerical study of natural convection and the associated mode-transition in a two-dimensional differentially heated inclined enclosure. The Boussenesq air flow with the Prandtl number Pr= 0.71 was chosen as the flow model to examine the effect of the inclination at various Rayleigh numbers in the enclosure of As = 4. The angle of inclination of enclosure satisfying 0°≤γ≤90° and Rayleigh number satisfying 1500≤Rα≤105, and the steady flow was treated in simulation. The results are good agreement with those reported. In general, the present study provides an effective way to understand the physical mechanism of the natural convection in enclosures.
Xian Liang Zhen-fu Tian
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China School of Mathematical Sciences, Fudan University, Shanghai 200433, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
990-995
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）