Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

SIAM Journal on Scientific Computing ◽

10.1137/130932193 ◽

2014 ◽

Vol 36 (5) ◽

pp. B835-B867 ◽

Author(s):

Mark H. Carpenter ◽

Travis C. Fisher ◽

Eric J. Nielsen ◽

Steven H. Frankel

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

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Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids

Journal of Computational Physics ◽

10.1016/j.jcp.2019.108897 ◽

2019 ◽

Vol 399 ◽

pp. 108897 ◽

Author(s):

Nail K. Yamaleev ◽

David C. Del Rey Fernández ◽

Jialin Lou ◽

Mark H. Carpenter

Keyword(s):

Stokes Equations ◽

Unstructured Grids ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

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Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations

SIAM Journal on Scientific Computing ◽

10.1137/15m1043510 ◽

2016 ◽

Vol 38 (5) ◽

pp. A3129-A3162 ◽

Author(s):

Matteo Parsani ◽

Mark H. Carpenter ◽

Travis C. Fisher ◽

Eric J. Nielsen

Keyword(s):

Stokes Equations ◽

Collocation Methods ◽

Staggered Grid ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

Entropy Stable ◽

Spectral Collocation Methods

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A family of fourth-order entropy stable nonoscillatory spectral collocation schemes for the 1-D Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.11.039 ◽

2017 ◽

Vol 331 ◽

pp. 90-107 ◽

Author(s):

Nail K. Yamaleev ◽

Mark H. Carpenter

Keyword(s):

Fourth Order ◽

Stokes Equations ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

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An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier–Stokes equations

Journal of Engineering Mathematics ◽

10.1007/s10665-006-9081-y ◽

2006 ◽

Vol 56 (3) ◽

pp. 337-350 ◽

Author(s):

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Collocation Method ◽

Stokes Equations ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

Triangular Elements

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A spectral collocation method for the Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/0021-9991(85)90061-0 ◽

1985 ◽

Vol 61 (1) ◽

pp. 64-88 ◽

Author(s):

M.R Malik ◽

T.A Zang ◽

M.Y Hussaini

Keyword(s):

Collocation Method ◽

Stokes Equations ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations

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Entropy stable spacetime discontinuous Galerkin methods for the two-dimensional compressible Navier–Stokes equations

Communications in Mathematical Sciences ◽

10.4310/cms.2018.v16.n8.a3 ◽

2018 ◽

Vol 16 (8) ◽

pp. 2095-2124

Author(s):

Andreas Hiltebrand ◽

Sandra May

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Two Dimensional ◽

Navier Stokes Equations ◽

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Entropy stable h/p-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier–Stokes equations

SN Partial Differential Equations and Applications ◽

10.1007/s42985-020-00009-z ◽

2020 ◽

Vol 1 (2) ◽

Author(s):

David C. Del Rey Fernández ◽

Mark H. Carpenter ◽

Lisandro Dalcin ◽

Stefano Zampini ◽

Matteo Parsani

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Summation By Parts ◽

Compressible Euler ◽

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Mass and momentum conservation of the least-squares spectral collocation method for the Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.08.004 ◽

2011 ◽

Vol 236 (6) ◽

pp. 1193-1215 ◽

Author(s):

Thorsten Kattelans ◽

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Collocation Method ◽

Stokes Equations ◽

Momentum Conservation ◽

Spectral Collocation Method ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations

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A Least‐Squares Spectral Collocation Scheme with Improved Stability for the Stokes and the Navier‐Stokes Equations

10.1063/1.2990919 ◽

2008 ◽

Author(s):

Thorsten Kattelans ◽

Wilhelm Heinrichs

Keyword(s):

Least Squares ◽

Stokes Equations ◽

Navier Stokes ◽

Spectral Collocation ◽

Navier Stokes Equations ◽

Improved Stability ◽

Collocation Scheme

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Entropy stable wall boundary conditions for the three-dimensional compressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.03.026 ◽

2015 ◽

Vol 292 ◽

pp. 88-113 ◽

Author(s):

Matteo Parsani ◽

Mark H. Carpenter ◽

Eric J. Nielsen

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Wall Boundary ◽

Wall Boundary Conditions ◽

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