摘要
In order to avoid unnecessary failure in crystal growth experiments aboard spacecraft, an implicit alternating directions iterative (ADI) method was suggested to simulate the Marangoni convection (due to surface tension) with emphasis on investigating application of the technique numerically. Numerical experiments turned out both accurate in mathematics and reasonable in physics. It is easier to treat the boundary conditions for intermediate variables by using this method, furthermore, the requirements in choosing (boundary) relaxation factor are not so severe for medium Reynolds numbers. Hence, ADI scheme is expected to be extended to the study of other convection processes related to material manufacturing.
In order to avoid unnecessary failure in crystal growth experiments aboard spacecraft, an implicit alternating directions iterative (ADI) method was suggested to simulate the Marangoni convection (due to surface tension) with emphasis on investigating application of the technique numerically. Numerical experiments turned out both accurate in mathematics and reasonable in physics. It is easier to treat the boundary conditions for intermediate variables by using this method, furthermore, the requirements in choosing (boundary) relaxation factor are not so severe for medium Reynolds numbers. Hence, ADI scheme is expected to be extended to the study of other convection processes related to material manufacturing.
基金
The project supported by the National Natural Science Foundation of China
