LIN Xian-kun, LI Jian, RONG Ji-li, XIANG Da-lin. Application of Fifth-Order WENO Finite Difference Method in the Moving-Interface TrackingJ. Transactions of Beijing institute of Technology, 2015, 35(4): 341-346. DOI: 10.15918/j.tbit1001-0645.2015.04.003
Citation: LIN Xian-kun, LI Jian, RONG Ji-li, XIANG Da-lin. Application of Fifth-Order WENO Finite Difference Method in the Moving-Interface TrackingJ. Transactions of Beijing institute of Technology, 2015, 35(4): 341-346. DOI: 10.15918/j.tbit1001-0645.2015.04.003

Application of Fifth-Order WENO Finite Difference Method in the Moving-Interface Tracking

  • In order to achieve high-precision and high-resolution tracking fluid moving-interface, the fluid volume function (VOF) method was adopted. The two-dimensional transport equation of VOF function was transformed into a one-dimensional conservation law equation. Its spatial derivative was dispersed with fifth-order WENO finite difference method, its time derivative was dispersed with the third-order Runge-Kutta method, the numerical flux was calculated using the local Lax-Friedrich flux, and the moving-interface was reconstructed using Youngs interface reconstruction technology. Based on the above approaches, a method of fifth-order high precision and high resolution was proposed to track moving-interface with VOF. The method was applied to track the moving-interfaces of classic translation, rotating and shear flow field. The results show that the method can achieve high-precision and high-resolution tracking fluid moving-interface.
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