Development of new integrated particle tracking techniques combining the numerical method, semi-analytical method, and analytical method

수치, 해석적, 준 해석적 및 해석적 방법을 통합한 새로운 입자추적기술 개발

  • Suk, Hee-Jun (Korea Institute of Geoscience and Mineral Resources)
  • Published : 2008.12.31

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.

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