(上海應用技術學院 環(huán)境與能源工程系, 上海200235)
摘 要: 根據運動學的觀點， 提出了一種通過追蹤計算移動界面的速度獲得相變區(qū)域, 從而進行多維凝固問題計算的方法。 同時提出了一種將不同時刻計算所得移動界面坐標作為網格節(jié)點, 由此產生隨時間逐步形成的新的網格生成方法, 避免了針對具有移動界面問題計算而產生的整體網格變動的問題。 借助該新型網格的劃分方法， 結合有限元計算, 完成相變區(qū)域內溫度場的計算。 該方法計算過程較為簡便, 計算實例表明， 一些特定位置處的界面位移規(guī)律與一維理論解是一致的。
關鍵字: 多維凝固問題； 界面速度追蹤； 數值模擬
（ Department of Environmental and Energy Engineering,
Shanghai Institute of Technology, Shanghai 200235, China）
Abstract: A new approach to multidimensional one-phase solidification problems is presented. In contrast to other methods, special attention is paid to finding the velocity of moving interface so as to obtain phase-change domain. Meanwhile, a special mesh generation technique is used. In proposed method, special procedures, such as iterative process, transformation of governing equation or interpolation are no required, so the numerical method becomes quite simple and is capable of dealing with solidification problems under complicated boundary conditions. By special designed examples, the numerical results show that motion patterns at some special locations are in agreement with the analytical solution.
Key words: multidimensional solidification problem; interface velocity-tracking; numerical simulation
