H(div) conforming and DG methods for incompressible Euler’s equations

Guzmán, Johnny; Shu, Chi-Wang; Sequeira, Filánder A.

doi:10.1093/imanum/drw054

Title: H(div) conforming and DG methods for incompressible Euler’s equations

Journal Article · Fri Nov 11 00:00:00 EST 2016 · IMA Journal of Numerical Analysis

DOI:https://doi.org/10.1093/imanum/drw054· OSTI ID:1540602

Guzmán, Johnny; Shu, Chi-Wang; Sequeira, Filánder A.

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Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-08ER25863

OSTI ID:: 1540602

Journal Information:: IMA Journal of Numerical Analysis, Vol. 37, Issue 4; ISSN 0272-4979

Publisher:: Oxford University Press/Institute of Mathematics and its Applications

Country of Publication:: United States

Language:: English

References (9)

A second-order projection method for the incompressible navier-stokes equations Bell, John B.; Colella, Phillip; Glaz, Harland M. Journal of Computational Physics, Vol. 85, Issue 2 https://doi.org/10.1016/0021-9991(89)90151-4	journal	December 1989
Continuous interior penalty finite element method for the time-dependent Navier–Stokes equations: space discretization and convergence Burman, Erik; Fernández, Miguel A. Numerische Mathematik, Vol. 107, Issue 1 https://doi.org/10.1007/s00211-007-0070-5	journal	May 2007
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension Cheng, Yingda; Shu, Chi-Wang SIAM Journal on Numerical Analysis, Vol. 47, Issue 6 https://doi.org/10.1137/090747701	journal	January 2010
Numerical solution of the Navier-Stokes equations Chorin, Alexandre Joel Mathematics of Computation, Vol. 22, Issue 104 https://doi.org/10.1090/S0025-5718-1968-0242392-2	journal	January 1968
A locally conservative LDG method for the incompressible Navier-Stokes equations Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik Mathematics of Computation, Vol. 74, Issue 251 https://doi.org/10.1090/S0025-5718-04-01718-1	journal	October 2004
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier–Stokes Equations Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik Journal of Scientific Computing, Vol. 31, Issue 1-2 https://doi.org/10.1007/s10915-006-9107-7	journal	September 2006
Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity Cockburn, Bernardo; Dong, Bo; Guzmán, Johnny SIAM Journal on Numerical Analysis, Vol. 48, Issue 1 https://doi.org/10.1137/080740805	journal	January 2010
Superconvergent discontinuous Galerkin methods for second-order elliptic problems Cockburn, Bernardo; Guzmán, Johnny; Wang, Haiying Mathematics of Computation, Vol. 78, Issue 265 https://doi.org/10.1090/S0025-5718-08-02146-7	journal	January 2009
A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows Liu, Jian-Guo; Shu, Chi-Wang Journal of Computational Physics, Vol. 160, Issue 2 https://doi.org/10.1006/jcph.2000.6475	journal	May 2000

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