Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations

David A. Kay; Philip M. Gresho; David F. Griffiths; David J. Silvester

doi:10.1137/080728032

Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations

SIAM Journal on Scientific Computing ◽

10.1137/080728032 ◽

2010 ◽

Vol 32 (1) ◽

pp. 111-128 ◽

Cited By ~ 31

Author(s):

David A. Kay ◽

Philip M. Gresho ◽

David F. Griffiths ◽

David J. Silvester

Keyword(s):

Incompressible Flow ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

Flow Part ◽

Adaptive Time ◽

Adaptive Time Stepping

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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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Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion

SIAM Journal on Scientific Computing ◽

10.1137/070688018 ◽

2008 ◽

Vol 30 (4) ◽

pp. 2018-2054 ◽

Cited By ~ 25

Author(s):

Philip M. Gresho ◽

David F. Griffiths ◽

David J. Silvester

Keyword(s):

Incompressible Flow ◽

Time Stepping ◽

Advection Diffusion ◽

Flow Part ◽

Adaptive Time ◽

Adaptive 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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Finite-element solution of navier-stokes equations for transient two-dimensional incompressible flow

Journal of Computational Physics ◽

10.1016/0021-9991(75)90052-2 ◽

1975 ◽

Vol 17 (3) ◽

pp. 235-245 ◽

Cited By ~ 26

Author(s):

S.L. Smith ◽

C.A. Brebbia

Keyword(s):

Finite Element ◽

Incompressible Flow ◽

Stokes Equations ◽

Finite Element Solution ◽

Navier Stokes ◽

Two Dimensional ◽

Element Solution ◽

Navier Stokes Equations

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The numerical solution of the Navier-Stokes equations for laminar incompressible flow past a paraboloid of revolution

Computers & Fluids ◽

10.1016/0045-7930(73)90010-8 ◽

1973 ◽

Vol 1 (3) ◽

pp. 251-271 ◽

Cited By ~ 11

Author(s):

A.E.P. Veldman

Keyword(s):

Numerical Solution ◽

Incompressible Flow ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Flow Past ◽

Paraboloid Of Revolution

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One-Shot Pseudo-Time-Stepping Method for Aerodynamic Shape Optimization Using the Navier-Stokes Equations

Large-Scale PDE-Constrained Optimization in Applications - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-642-01502-1_12 ◽

2010 ◽

pp. 175-188

Author(s):

Subhendu Bikash Hazra

Keyword(s):

Shape Optimization ◽

Stokes Equations ◽

Navier Stokes ◽

Aerodynamic Shape Optimization ◽

Navier Stokes Equations ◽

Aerodynamic Shape ◽

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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Numerical Studies of Higher Order Variational Time Stepping Schemes for Evolutionary Navier-Stokes Equations

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

10.1007/978-3-319-67202-1_2 ◽

2017 ◽

pp. 19-33 ◽

Cited By ~ 1

Author(s):

Naveed Ahmed ◽

Gunar Matthies

Keyword(s):

Stokes Equations ◽

Higher Order ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Time Stepping ◽

Numerical Studies

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Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow

Modeling, Simulation and Optimization of Complex Processes - HPSC 2012 ◽

10.1007/978-3-319-09063-4_2 ◽

2014 ◽

pp. 13-23 ◽

Cited By ~ 1

Author(s):

Roberto Croce ◽

Daniel Ruprecht ◽

Rolf Krause

Keyword(s):

Incompressible Flow ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Space And Time ◽

Time Simulation

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Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations

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

Adaptive Time-Stepping for Incompressible Flow Part I: Scalar Advection-Diffusion

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

Finite-element solution of navier-stokes equations for transient two-dimensional incompressible flow

The numerical solution of the Navier-Stokes equations for laminar incompressible flow past a paraboloid of revolution

One-Shot Pseudo-Time-Stepping Method for Aerodynamic Shape Optimization Using the Navier-Stokes Equations

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

Numerical Studies of Higher Order Variational Time Stepping Schemes for Evolutionary Navier-Stokes Equations

Other Solutions of Navier-Stokes Equations (Steady Incompressible Flow)

Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow

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