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

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

A robust high-order discontinuous Galerkin method with large time steps for the compressible Euler equations

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n3.a11 ◽

2017 ◽

Vol 15 (3) ◽

pp. 813-837 ◽

Author(s):

Florent Renac

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Euler Equations ◽

Compressible Euler

Download Full-text

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 ◽

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

A high order semi-Lagrangian discontinuous Galerkin method for Vlasov–Poisson simulations without operator splitting

Journal of Computational Physics ◽

10.1016/j.jcp.2017.10.048 ◽

2018 ◽

Vol 354 ◽

pp. 529-551 ◽

Author(s):

Xiaofeng Cai ◽

Wei Guo ◽

Jing-Mei Qiu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Operator Splitting ◽

Download Full-text

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

Download Full-text

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

Download Full-text

Entropy-Stable Discontinuous Galerkin Method for Two-Dimensional Euler Equations

Mathematical Models and Computer Simulations ◽

10.1134/s2070048221050069 ◽

2021 ◽

Vol 13 (5) ◽

pp. 897-906

Author(s):

M. D. Bragin ◽

Yu. A. Kriksin ◽

V. F. Tishkin

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Download Full-text