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

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Xu-jiu Zhang , Yongsheng Zhu , Ke Yan , Youyun Zhang ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.3991/ijoe.v12i12.6453

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.

Related Topics

Shock (Circulatory)

Mathematics

Shock Wave

Mathematical Analysis

Finite Element Method

Structural Engineering

Concepts

Runge–Kutta methods Limiter Tracking (education) Discontinuous Galerkin method Interface (matter) Shock (circulatory) Monotonic function Mathematics Shock wave Applied mathematics Flow (mathematics) Mathematical analysis Computer science Algorithm Numerical analysis Mechanics Geometry Physics Engineering Finite element method Structural engineering Maximum bubble pressure method Internal medicine Bubble Telecommunications Pedagogy Medicine Psychology

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Type: article
Language: en
Landing Page: https://doi.org/10.3991/ijoe.v12i12.6453
PDF: https://online-journals.org/index.php/i-joe/article/download/6453/4217
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References: 22
Related Works: 10
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DOI: https://doi.org/10.3991/ijoe.v12i12.6453

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

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Language: en

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Publication year: 2016

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Publication date: 2016-12-25

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Authors: Xu-jiu Zhang, Yongsheng Zhu, Ke Yan, Youyun Zhang

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

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Concepts: Runge–Kutta methods, Limiter, Tracking (education), Discontinuous Galerkin method, Interface (matter), Shock (circulatory), Monotonic function, Mathematics, Shock wave, Applied mathematics, Flow (mathematics), Mathematical analysis, Computer science, Algorithm, Numerical analysis, Mechanics, Geometry, Physics, Engineering, Finite element method, Structural engineering, Maximum bubble pressure method, Internal medicine, Bubble, Telecommunications, Pedagogy, Medicine, Psychology

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