A coupling analysis of thermal convection problems based on a characteristic curve method

作者：Yao Qinghe^*; Kanayama Hiroshi

来源：Theoretical and Applied Mechanics Japan, 2011, 59: 257-264.

• Characteristic curve
• Conjugate gradient
• Convection diffusion problems
• Coupling analysis
• Domain decompositions
• Fluid particles
• Hierarchical domains
• Interface problems
• Material derivative
• Navier-Stokes problem
• Nonstationary
• Thermal convections

A coupling analysis of thermal convection problems is performed in this work. By approximating the material derivative along the trajectory of fluid particle, the characteristic curve (CC) method used in this research can be considered as an upwind method. The most attractive advantage of this method is the symmetry of the linear system, which enables some classic symmetric linear system iteration solvers, like the conjugate gradient (CG) method, to be used to solve the interface problem of the domain decomposition system.In order to implement a coupling analysis of the Navier-Stokes problem and the convection-diffusion problem, the CC method is applied to both parts, and the results of searching for elements in each non-stationary loop are shared by both. The code has been developed under the hierarchical domain decomposition system, and comparisons between the solvers based on the CC method and product-type methods have also been done.

• 出版日期2011