A Front Tracking Method Based on Runge-Kutta Discontinuous Galerkin Methods

Authors

  • Xu-jiu Zhang Key Laboratory of Education Ministry for Modern Design and Rotor-bearing System, Xi’an Jiaotong University, Xi’an, 710049, China
  • Yong-sheng Zhu
  • Ke Yan
  • You-yun Zhang

DOI:

https://doi.org/10.3991/ijoe.v12i12.6453

Keywords:

Galerkin methods, high-resolution, limiter, monotonicity-preserving schemes, level set technique

Abstract


In this paper, a high-resolution front tracking method was presented for interface tracking simulation with Runge-Kutta discontinuous Galerkin methods. An interface treating method of the discontinuous methods is presented. This method don’t construct the ghost fluid and the flow information on both sides next to the interface is used to solve the interfacial status. The limiter adopted the combination of the shock detection and monotonicity-preserving limiter and level set method is used for tracking the interface. Result shown that the front tracking of the high-order accurate Runge-Kutta discontinuous Galerkin method exhibits very good agreement with exact solution in the interface condition that contain strong shock.

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Published

2016-12-25

How to Cite

Zhang, X.- jiu, Zhu, Y.- sheng, Yan, K., & Zhang, Y.- yun. (2016). A Front Tracking Method Based on Runge-Kutta Discontinuous Galerkin Methods. International Journal of Online and Biomedical Engineering (iJOE), 12(12), pp. 67–70. https://doi.org/10.3991/ijoe.v12i12.6453

Issue

Section

Short Papers