수치 해석적, 준 해석적 및 해석적 방법을 통합한 새로운 입자추적기술 개발 = Development of new integrated particle tracking techniques combining the numerical method, semi-analytical method, and analytical method

다국어 초록 (Multilingual Abstract)

In this study, new integrated particle tracking algorithm was developed to reduce the inherent problem of Eulerian-Lagrangian method, or adverse effect of particle tracking error on mass balance error. The new integrated particle tracking algorithm includes numerical method, semi-analytical method, and analytical method which consider both temporal and spatial changes of velocity field during time step. Detail of mathematical derivations is well illustrated and four examples are made to verify through the comparison of the new integrated particle tracking with analytical solution or Runge-Kutta method. Additionally, It was shown that the there is better superiority of the new integrated particle tracking algorithm over other existing particle tracking method such as Lu's method.

국문 초록 (Abstract)

본 연구를 통해서 율러리안-라그랑지안 방법(ELM)의 본질적인 문제점인 입자추적오차에 의해 발생되는 질량오차를 최소화하기 위해서, 새로운 통합 입자 추적 방법이 개발되었다. 새로운 통합입자 추적 방법은 시간 간격 내에서 시 공간의 속도변화를 동시에 고려한 수치 해석적 방법, 준해석적 방법, 그리고 해석적 방법을 결합시킨 것이다. 수치 해석적 방법, 준해석적 방법, 그리고 해석적 방법의 수학적 유도를 자세히 나타내었고, 네 가지 예제를 만들어서 개 발된 통합입자추적방법을 해석해 및 4차 룬지쿠타 방법과의 비교를 통해서 검증하였을 뿐만 아니라 기존의 입자추 적방법인 Lu의 방법과 비교를 통해서 우수성을 보였다.

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