A High-Order Method for Solving Unsteady Incompressible Navier-Stokes Equations with Implicit Time Stepping on Unstructured Grids

53rd AIAA Aerospace Sciences Meeting ◽

10.2514/6.2015-0830 ◽

2015 ◽

Author(s):

Christopher Cox ◽

Chunlei Liang ◽

Michael W. Plesniak

Keyword(s):

Stokes Equations ◽

Unstructured Grids ◽

High Order ◽

Navier Stokes ◽

Implicit Time ◽

Order Method ◽

Navier Stokes Equations ◽

High Order Method ◽

Time Stepping

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On efficient high-order semi-implicit time-stepping schemes for unsteady incompressible Navier–Stokes equations

Computers & Fluids ◽

10.1016/j.compfluid.2017.02.017 ◽

2017 ◽

Vol 148 ◽

pp. 166-184 ◽

Cited By ~ 2

Author(s):

K.C. Loy ◽

Y. Bourgault

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Implicit Time ◽

Navier Stokes Equations ◽

Time Stepping

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A Hybrid High-Order method for the incompressible Navier–Stokes equations based on Temam's device

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.014 ◽

2019 ◽

Vol 376 ◽

pp. 786-816 ◽

Cited By ~ 5

Author(s):

Lorenzo Botti ◽

Daniele A. Di Pietro ◽

Jérôme Droniou

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Order Method ◽

Navier Stokes Equations ◽

High Order Method

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A Unifying High-Order Method for the Navier-Stokes Equations on Hybrid Unstructured Meshes

10.21236/ada583716 ◽

2013 ◽

Author(s):

Z. J. Wang ◽

T. Haga ◽

H. Gao

Keyword(s):

Stokes Equations ◽

Unstructured Meshes ◽

High Order ◽

Navier Stokes ◽

Order Method ◽

Navier Stokes Equations ◽

High Order Method

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Numerical solution of unsteady incompressible Navier-Stokes equations using high-order method of lines

Finite Elements in Analysis and Design ◽

10.1016/0168-874x(94)90071-x ◽

1994 ◽

Vol 16 (3-4) ◽

pp. 285-297 ◽

Cited By ~ 2

Author(s):

Hidetoshi Nishida ◽

Nobuyuki Satofuka

Keyword(s):

Numerical Solution ◽

Stokes Equations ◽

Method Of Lines ◽

High Order ◽

Navier Stokes ◽

Order Method ◽

Navier Stokes Equations ◽

High Order Method

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A Semi-Lagrangian High-Order Method for Navier–Stokes Equations

Journal of Computational Physics ◽

10.1006/jcph.2001.6847 ◽

2001 ◽

Vol 172 (2) ◽

pp. 658-684 ◽

Cited By ~ 116

Author(s):

Dongbin Xiu ◽

George Em Karniadakis

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Order Method ◽

Navier Stokes Equations ◽

High Order Method

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A high-order solver for unsteady incompressible Navier–Stokes equations using the flux reconstruction method on unstructured grids with implicit dual time stepping

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.016 ◽

2016 ◽

Vol 314 ◽

pp. 414-435 ◽

Cited By ~ 13

Author(s):

Christopher Cox ◽

Chunlei Liang ◽

Michael W. Plesniak

Keyword(s):

Stokes Equations ◽

Unstructured Grids ◽

High Order ◽

Navier Stokes ◽

Flux Reconstruction ◽

Reconstruction Method ◽

Navier Stokes Equations ◽

Time Stepping ◽

Dual Time Stepping

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Solution to the Compressible Navier-Stokes Equations of Motion by Chebyshev Polynomials with Implicit Time Stepping

10.21236/ada194119 ◽

1988 ◽

Author(s):

Leonidas Sakell

Keyword(s):

Chebyshev Polynomials ◽

Stokes Equations ◽

Equations Of Motion ◽

Navier Stokes ◽

Implicit Time ◽

Navier Stokes Equations ◽

Time Stepping

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High-order time stepping for the Navier–Stokes equations with minimal computational complexity

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.04.033 ◽

2017 ◽

Vol 310 ◽

pp. 92-103 ◽

Cited By ~ 7

Author(s):

Jean-Luc Guermond ◽

Peter D. Minev

Keyword(s):

Computational Complexity ◽

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

High Order Time

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High-order methods for the Euler and Navier–Stokes equations on unstructured grids

Progress in Aerospace Sciences ◽

10.1016/j.paerosci.2007.05.001 ◽

2007 ◽

Vol 43 (1-3) ◽

pp. 1-41 ◽

Cited By ~ 192

Author(s):

Z.J. Wang

Keyword(s):

Stokes Equations ◽

Unstructured Grids ◽

High Order ◽

Navier Stokes ◽

High Order Methods ◽

Navier Stokes Equations

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High-Order Spectral Volume Method for the Navier-Stokes Equations on Unstructured Grids

34th AIAA Fluid Dynamics Conference and Exhibit ◽

10.2514/6.2004-2133 ◽

2004 ◽

Cited By ~ 2

Author(s):

Yuzhi Sun ◽

Z.J. Wang

Keyword(s):

Stokes Equations ◽

Unstructured Grids ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Spectral Volume ◽

Volume Method

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