다상 스테판 문제의 해석·수치 해법: 용융·응고·비등·응축 동시 모델링

초록

본 논문은 1차원 삼상 스테판 문제에 대해 밀도·속도·압력·표면장력 등 물리적 불연속을 모두 포함한 해석적 유사해와 2차 정확도의 날카로운 인터페이스 수치법을 제시한다. 고출력 레이저에 의해 금속 파우더가 동시에 용융·비등되는 금속 적층제조·용접 공정을 이론적으로 검증할 수 있다.

상세 분석

이 연구는 기존 2상 스테판 해법이 갖는 ‘밀도 차이 무시’라는 가정을 탈피하고, 고체‑액체‑증기 3상 사이의 밀도·열전도·비열 차이를 모두 고려한다. 저자는 연속 방정식, 운동량 방정식, 에너지 방정식을 라그랑주 형태로 전개한 뒤, 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