High-Order Time Stepping for the Incompressible Navier--Stokes Equations

Jean-Luc Guermond; Peter Minev

doi:10.1137/140975231

High-Order Time Stepping for the Incompressible Navier--Stokes Equations

SIAM Journal on Scientific Computing ◽

10.1137/140975231 ◽

2015 ◽

Vol 37 (6) ◽

pp. A2656-A2681 ◽

Cited By ~ 18

Author(s):

Jean-Luc Guermond ◽

Peter Minev

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

High Order Time

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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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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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Staggered grids hybrid-dual spectral element method for second-order elliptic problems application to high-order time splitting methods for Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(98)00069-3 ◽

1998 ◽

Vol 166 (3-4) ◽

pp. 183-199 ◽

Cited By ~ 10

Author(s):

M. Azaïez ◽

F.Ben Belgacem ◽

M. Grundmann ◽

H. Khallouf

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Splitting Methods ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Splitting ◽

High Order Time ◽

Second Order Elliptic Problems

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High order time discretisation methods for incompressible Navier-Stokes equations

PAMM ◽

10.1002/pamm.201610368 ◽

2016 ◽

Vol 16 (1) ◽

pp. 759-760

Author(s):

Joachim Rang

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Discretisation ◽

High Order Time

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High-Order Adaptive Time Stepping for the Incompressible Navier--Stokes Equations

SIAM Journal on Scientific Computing ◽

10.1137/18m1209301 ◽

2019 ◽

Vol 41 (2) ◽

pp. A770-A788 ◽

Cited By ~ 2

Author(s):

Jean-Luc Guermond ◽

Peter Minev

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

Adaptive Time ◽

Adaptive Time Stepping

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High-Order, Time-Dependent Aerodynamic Optimization using a Discontinuous Galerkin Discretization of the Navier-Stokes Equations

54th AIAA Aerospace Sciences Meeting ◽

10.2514/6.2016-0064 ◽

2016 ◽

Cited By ~ 1

Author(s):

Matthew J. Zahr ◽

Per-Olof Persson

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

High Order ◽

Time Dependent ◽

Navier Stokes ◽

Aerodynamic Optimization ◽

Navier Stokes Equations ◽

Galerkin Discretization ◽

High Order Time

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A High-Order Dual-Time Stepping FR/CPR Method for Unsteady Incompressible Navier-Stokes Equations on Unstructured Moving Grids

54th AIAA Aerospace Sciences Meeting ◽

10.2514/6.2016-1828 ◽

2016 ◽

Cited By ~ 1

Author(s):

Lai Wang ◽

Meilin Yu

Keyword(s):

Stokes Equations ◽

High Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

Moving Grids ◽

Dual Time Stepping

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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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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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