Adaptive Runge-Kutta Discontinuous Galerkin Methods with Modified Ghost Fluid Method for Simulating the Compressible Two-Medium Flow

J. Zhu and J. Qiu

doi:10.4208/jms.v47n3.14.02

Adaptive Runge-Kutta Discontinuous Galerkin Methods with Modified Ghost Fluid Method for Simulating the Compressible Two-Medium Flow

Journal of Mathematical Study ◽

10.4208/jms.v47n3.14.02 ◽

2014 ◽

Vol 47 (3) ◽

pp. 250-273 ◽

Cited By ~ 1

Author(s):

J. Zhu and J. Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Ghost Fluid Method ◽

Medium Flow ◽

Runge Kutta ◽

Modified Ghost Fluid Method

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Runge–Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case

Journal of Computational Physics ◽

10.1016/j.jcp.2006.07.023 ◽

2007 ◽

Vol 222 (1) ◽

pp. 353-373 ◽

Cited By ~ 20

Author(s):

Jianxian Qiu ◽

Tiegang Liu ◽

Boo Cheong Khoo

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Dimensional Case ◽

Galerkin Methods ◽

One Dimensional ◽

Flow Simulations ◽

Medium Flow ◽

Runge Kutta

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WEIGHTED NON-OSCILLATORY LIMITERS FOR RUNGE-KUTTA DISCONTINUOUS GALERKIN METHODS

Advances in Computational Fluid Dynamics - Adaptive High-Order Methods in Computational Fluid Dynamics ◽

10.1142/9789814313193_0006 ◽

2011 ◽

pp. 153-184

Author(s):

Jianxian Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Runge Kutta

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Runge–Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2013.02.018 ◽

2013 ◽

Vol 242 ◽

pp. 138-168 ◽

Cited By ~ 20

Author(s):

Jian Zhao ◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Runge Kutta

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A Compact Subcell WENO Limiting Strategy Using Immediate Neighbors for Runge-Kutta Discontinuous Galerkin Methods for Unstructured Meshes

Journal of Scientific Computing ◽

10.1007/s10915-021-01725-3 ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

S. R. Siva Prasad Kochi ◽

M. Ramakrishna

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unstructured Meshes ◽

Galerkin Methods ◽

Runge Kutta

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Local discontinuous Galerkin methods with explicit Runge-Kutta time marching for nonlinear carburizing model

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4898 ◽

2018 ◽

Vol 41 (12) ◽

pp. 4376-4390 ◽

Cited By ~ 2

Author(s):

Chenghui Xia ◽

Ying Li ◽

Haijin Wang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching ◽

Runge Kutta

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Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2006.6.623 ◽

2006 ◽

Vol 6 (3) ◽

pp. 623-640 ◽

Cited By ~ 20

Author(s):

Sihong Shao ◽

◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Runge Kutta

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High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.03.013 ◽

2020 ◽

Vol 153 ◽

pp. 519-539

Author(s):

Jun Zhu ◽

Chi-Wang Shu ◽

Jianxian Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Triangular Meshes ◽

New Type ◽

Runge Kutta

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Error estimates of Runge–Kutta discontinuous galerkin methods for the Vlasov–Maxwell system

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2014025 ◽

2015 ◽

Vol 49 (1) ◽

pp. 69-99 ◽

Cited By ~ 4

Author(s):

He Yang ◽

Fengyan Li

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Maxwell System ◽

Runge Kutta

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A compact subcell WENO limiting strategy using immediate neighbours for Runge-Kutta discontinuous Galerkin methods

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1770234 ◽

2020 ◽

pp. 1-19

Author(s):

S. R. Siva Prasad Kochi ◽

M. Ramakrishna

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Runge Kutta

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Error Control for a Class of Runge–Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/050624248 ◽

2007 ◽

Vol 45 (2) ◽

pp. 514-538 ◽

Cited By ~ 20

Author(s):

Andreas Dedner ◽

Charalambos Makridakis ◽

Mario Ohlberger

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Error Control ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Conservation Laws ◽

Runge Kutta

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