A High Order Accurate Nodal Discontinuous Galerkin Method (DGM) for Numerical Solution of Hyperbolic Equation

International Journal of Applied Physics and Mathematics ◽

10.7763/ijapm.2012.v2.135 ◽

2012 ◽

pp. 362-364 ◽

Author(s):

Fareed Ahmed ◽

Faheem Ahmed ◽

YongHang Guo ◽

Yong Yang

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method

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A high-order nodal discontinuous Galerkin method for simulation of three-dimensional non-cavitating/cavitating flows

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2021.103681 ◽

2022 ◽

Vol 200 ◽

pp. 103681

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

Cavitating Flows ◽

Nodal Discontinuous Galerkin Method

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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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A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5576 ◽

2017 ◽

Vol 112 (11) ◽

pp. 1659-1686 ◽

Author(s):

A. Modave ◽

A. Atle ◽

J. Chan ◽

T. Warburton

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Nodal Discontinuous Galerkin Method

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An implicit dual-time stepping high-order nodal discontinuous Galerkin method for solving incompressible flows on triangle elements

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.08.011 ◽

2020 ◽

Vol 168 ◽

pp. 173-214 ◽

Author(s):

M. Hajihassanpour ◽

K. Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Incompressible Flows ◽

Time Stepping ◽

Nodal Discontinuous Galerkin Method ◽

Dual Time Stepping

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A high‐order nodal discontinuous Galerkin method to solve preconditioned multiphase Euler/Navier‐Stokes equations for inviscid/viscous cavitating flows

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4792 ◽

2020 ◽

Vol 92 (5) ◽

pp. 478-508

Author(s):

Mahya Hajihassanpour ◽

Kazem Hejranfar

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Navier Stokes ◽

Cavitating Flows ◽

Navier Stokes Equations ◽

Nodal Discontinuous Galerkin Method

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Numerical solution of fluid-structure interaction problems by means of a high order Discontinuous Galerkin method on polygonal grids

Finite Elements in Analysis and Design ◽

10.1016/j.finel.2019.02.002 ◽

2019 ◽

Vol 159 ◽

pp. 1-14 ◽

Author(s):

Paola Antonietti ◽

Marco Verani ◽

Christian Vergara ◽

Stefano Zonca

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fluid Structure Interaction ◽

Fluid Structure ◽

Structure Interaction

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A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.06.018 ◽

2018 ◽

Vol 54 ◽

pp. 428-452 ◽

Author(s):

Tarek Aboelenen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method

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A High-Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling

International Journal of Computer Applications ◽

10.5120/5616-7895 ◽

2012 ◽

Vol 41 (15) ◽

pp. 19-27 ◽

Author(s):

Nouh Izem ◽

Mohammed Seaid ◽

Mohamed Wakrim

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method ◽

Morphodynamic Modelling

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A high-order nodal discontinuous Galerkin method for solution of compressible non-cavitating and cavitating flows

Computers & Fluids ◽

10.1016/j.compfluid.2017.07.002 ◽

2017 ◽

Vol 156 ◽

pp. 175-199 ◽

Author(s):

K. Hejranfar ◽

M. Hajihassanpour

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Cavitating Flows ◽

Nodal Discontinuous Galerkin Method

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A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn–Hilliard equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.07.018 ◽

2017 ◽

Vol 73 (6) ◽

pp. 1197-1217 ◽

Author(s):

Tarek Aboelenen ◽

H.M. El-Hawary

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nodal Discontinuous Galerkin Method ◽

Hilliard Equation ◽

Cahn Hilliard Equation

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