A high‐order Runge‐Kutta discontinuous Galerkin method with a subcell limiter on adaptive unstructured grids for two‐dimensional compressible inviscid flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4757 ◽

2019 ◽

Vol 91 (8) ◽

pp. 367-394

Author(s):

Pritam Giri ◽

Jianxian Qiu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Two Dimensional ◽

Inviscid Flows ◽

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Numerical solution of 2D Euler equations for the transonic flow past over NACA0012 and RAE2822 airfoils using high order accurate Runge-Kutta Discontinuous Galerkin method

Proceedings of 2014 11th International Bhurban Conference on Applied Sciences & Technology (IBCAST) Islamabad, Pakistan, 14th - 18th January, 2014 ◽

10.1109/ibcast.2014.6778148 ◽

2014 ◽

Author(s):

Faheem Ahmed ◽

Fareed Ahmed ◽

Muhammad Affan ◽

Javed R Larik

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transonic Flow ◽

Flow Past ◽

2D Euler Equations ◽

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Numerical Analysis of the Incompressible Fluid Flow Around a Two-Dimensional Cylinder by High-Order Discontinuous Galerkin Method

10.26678/abcm.encit2016.cit2016-0072 ◽

2016 ◽

Author(s):

Aureo Quintas Garcia

Keyword(s):

Numerical Analysis ◽

Incompressible Fluid ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Incompressible Fluid Flow

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Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method II: Two dimensional case

Computers & Fluids ◽

10.1016/j.compfluid.2004.05.005 ◽

2005 ◽

Vol 34 (6) ◽

pp. 642-663 ◽

Author(s):

Jianxian Qiu ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Dimensional Case ◽

Two Dimensional ◽

Weno Schemes ◽

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An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - I. The two-dimensional isotropic case with external source terms

Geophysical Journal International ◽

10.1111/j.1365-246x.2006.03051.x ◽

2006 ◽

Vol 166 (2) ◽

pp. 855-877 ◽

Author(s):

Martin Käser ◽

Michael Dumbser

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elastic Waves ◽

External Source ◽

Unstructured Meshes ◽

Isotropic Case ◽

Two Dimensional ◽

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A High Order Conservative Semi-Lagrangian Discontinuous Galerkin Method for Two-Dimensional Transport Simulations

Journal of Scientific Computing ◽

10.1007/s10915-017-0554-0 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 514-542 ◽

Author(s):

Xiaofeng Cai ◽

Wei Guo ◽

Jing-Mei Qiu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional

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A High Order Semi-Lagrangian Discontinuous Galerkin Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model Without Operator Splitting

Journal of Scientific Computing ◽

10.1007/s10915-018-0889-1 ◽

2018 ◽

Vol 79 (2) ◽

pp. 1111-1134 ◽

Author(s):

Xiaofeng Cai ◽

Wei Guo ◽

Jing-Mei Qiu

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Operator Splitting ◽

Two Dimensional ◽

Incompressible Euler Equations ◽

Guiding Center Vlasov Model ◽

Incompressible Euler

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A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.032 ◽

2014 ◽

Vol 234 ◽

pp. 623-644 ◽

Author(s):

Maurizio Tavelli ◽

Michael Dumbser

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Unstructured Meshes ◽

Two Dimensional

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High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110036 ◽

2021 ◽

Vol 427 ◽

pp. 110036

Author(s):

Xiaofeng Cai ◽

Sebastiano Boscarino ◽

Jing-Mei Qiu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Exponential Integrators ◽

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A high-order discontinuous Galerkin method with unstructured space–time meshes for two-dimensional compressible flows on domains with large deformations

Computers & Fluids ◽

10.1016/j.compfluid.2015.05.026 ◽

2015 ◽

Vol 118 ◽

pp. 53-68 ◽

Author(s):

Luming Wang ◽

Per-Olof Persson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Flows ◽

Large Deformations ◽

Two Dimensional

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A Runge–Kutta discontinuous Galerkin method for linear free-surface gravity waves using high order velocity recovery

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.11.007 ◽

2007 ◽

Vol 196 (13-16) ◽

pp. 1984-1996 ◽

Author(s):

S.K. Tomar ◽

J.J.W. van der Vegt

Keyword(s):

Free Surface ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Gravity Waves ◽

Surface Gravity ◽

Surface Gravity Waves ◽

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