The Crank–Nicolson finite spectral element method and numerical simulations for 2D non‐stationary Navier–Stokes equations

Zhendong Luo; Wenrui Jiang

doi:10.1002/mma.6039

The Crank–Nicolson finite spectral element method and numerical simulations for 2D non‐stationary Navier–Stokes equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6039 ◽

2019 ◽

Vol 43 (5) ◽

pp. 2276-2288 ◽

Cited By ~ 2

Author(s):

Zhendong Luo ◽

Wenrui Jiang

Keyword(s):

Numerical Simulations ◽

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations ◽

Element Method ◽

Crank Nicolson

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A reduced-order extrapolated Crank–Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.08.007 ◽

2020 ◽

Vol 147 ◽

pp. 161-173 ◽

Cited By ~ 11

Author(s):

Zhendong Luo ◽

Wenrui Jiang

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Reduced Order ◽

Stream Functions ◽

Stationary Navier Stokes Equations ◽

Element Method ◽

Crank Nicolson

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Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations

Numerical Algorithms ◽

10.1007/bf02810621 ◽

2005 ◽

Vol 38 (1-3) ◽

pp. 155-172

Author(s):

Michael M. J. Proot ◽

Marc I. Gerritsma

Keyword(s):

Least Squares ◽

Chebyshev Polynomials ◽

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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A Spectral Element Method for the Navier--Stokes Equations with Improved Accuracy

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999351984 ◽

2000 ◽

Vol 38 (3) ◽

pp. 799-819 ◽

Cited By ~ 21

Author(s):

Javier de Frutos ◽

Julia Novo

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Improved Accuracy ◽

Element Method

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A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains

Journal of Scientific Computing ◽

10.1007/s10915-009-9313-1 ◽

2009 ◽

Vol 42 (1) ◽

pp. 1-22 ◽

Cited By ~ 7

Author(s):

Qingqu Zhuang ◽

Jie Shen ◽

Chuanju Xu

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Unbounded Domains ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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Analysis and application of a parallel spectral element method for the solution of the Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(90)90053-o ◽

1990 ◽

Vol 80 (1-3) ◽

pp. 483-491 ◽

Cited By ~ 8

Author(s):

Paul F. Fischer

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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Application of the Least-Squares Spectral Element Method Using Chebyshev Polynomials to Solve the Incompressible Navier?Stokes Equations

Numerical Algorithms ◽

10.1007/s11075-004-2863-2 ◽

2005 ◽

Vol 38 (1) ◽

pp. 155-172 ◽

Cited By ~ 1

Author(s):

Michael M.J. Proot ◽

Marc I. Gerritsma

Keyword(s):

Least Squares ◽

Chebyshev Polynomials ◽

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109953 ◽

2021 ◽

Vol 426 ◽

pp. 109953

Author(s):

Andrés M. Rueda-Ramírez ◽

Esteban Ferrer ◽

David A. Kopriva ◽

Gonzalo Rubio ◽

Eusebio Valero

Keyword(s):

Discontinuous Galerkin ◽

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry

Journal of Computational Physics ◽

10.1016/0021-9991(86)90134-8 ◽

1986 ◽

Vol 62 (2) ◽

pp. 361-382 ◽

Cited By ~ 128

Author(s):

Karol Z. Korczak ◽

Anthony T. Patera

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Complex Geometry ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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On the formulation and implementation of the stress-free boundary condition over deformed bathymetry using a spectral-element-method-based incompressible Navier–Stokes equations solver

Ocean Modelling ◽

10.1016/j.ocemod.2021.101834 ◽

2021 ◽

pp. 101834

Author(s):

Theodoros Diamantopoulos ◽

Peter J. Diamessis ◽

Marek Stastna

Keyword(s):

Boundary Condition ◽

Free Boundary ◽

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Free Boundary Condition ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stress Free Boundary ◽

Element Method

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A triangular spectral element method; applications to the incompressible Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(94)00745-9 ◽

1995 ◽

Vol 123 (1-4) ◽

pp. 189-229 ◽

Cited By ~ 123

Author(s):

S.J. Sherwin ◽

G.E. Karniadakis

Keyword(s):

Spectral Element Method ◽

Stokes Equations ◽

Spectral Element ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Element Method

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