A 2D compact fourth-order projection decomposition method

Abide, Stéphane; Viazzo, Stéphane

doi:10.1016/j.jcp.2004.12.005

Cited by 48 publications

(58 citation statements)

References 33 publications

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“…The LES code developed by Viazzo et al [7] has been extended here to its multidomain version using the methodology described in [1]. This new approach has been fully validated against the velocity measurements of Nouri and Whitelaw [5] and the numerical results of Chung et al [2] in an opened Taylor-Couette system with an axial throughflow.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Simulations of a Middle Gap Turbulent Taylor-Couette-Poiseuille Flow

Oguic¹,

Viazzo²,

Poncet³

2015

Direct and Large-Eddy Simulation IX

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Section: Resultsmentioning

confidence: 99%

“…The numerical method is based on the work of Abide and Viazzo [1], who developed a 2D compact fourth-order projection decomposition method in cartesian coordinates. It has been recently validated in the case of turbulent rotor-stator flows in cylindrical coordinates by Viazzo et al [7].…”

Section: Methodsmentioning

confidence: 99%

Numerical Simulations of a Middle Gap Turbulent Taylor-Couette-Poiseuille Flow

Oguic¹,

Viazzo²,

Poncet³

2015

Direct and Large-Eddy Simulation IX

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“…For the Poisson solver, this technique exhibits a null-eigenvalue problem, which is treated by a "source term reset" technique ( [7]), for indexes in the operators corresponding to the null-eigenvalue index. According to the variable spatial evaluation, each Helmholtz/Poisson solving operation in the physical tridimensional domain is equivalent to N θ bidimensional Helmholtz/Poisson solving operations in…”

Section: Resolution Algorithm : Complete Matricial Diagonalisation Tementioning

confidence: 99%

“…It is treated by a diagonalisation technique of this modal matrix. The derivative jump is expressed in the diagonalisation basis and its i 0 -th component is set to zero, if i 0 is the null eigenvalue index, as proposed by Abide and Viazzo [7]. [2]: Figures 3 and 4 show the decrease of the quadratic truncature error L 2 when one increases N r and M respectively.…”

Section: Singularity Of the Poisson-problemmentioning

confidence: 99%

Multidomain Extension of a Pseudospectral Algorithm for the Direct Simulation of Wall-Confined Rotating Flows

Fontaine

Poncet²,

Serre³

2013

Lecture Notes in Computational Science and Engineering

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International audienceIn this work, we improve an existing pseudospectral algorithm, in order to extend its properties to a multidomain patching of a rotating cavity. Viscous rotating flows have been widely studied over the last decades, either on industrial or aca-demic approaches. Nevertheless, the range of Reynolds numbers reached in indus-trial devices implies very high resolutions of the spatial problem, which are clearly unreachable using a monodomain approach. Hence, we worked on the multido-main extension of the existing divergence-free Navier-Stokes solver with a Schur approach. The particularity of such an approach is that it does not require any sub-domain superposition: the value of a variable on the boundary between two adjacent subdomains is treated as a boundary condition of a local Helmholtz solver. This value is computed on a direct way via a so-called continuity influence matrix and the derivative jump of an homogeneous solution computed independently on each subdomain. Such a method is known to have both good scalability and accuracy. It has been validated on two well documented three-dimensional rotating flows

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“…At lower values of postcritical Reynolds numbers the flow is still laminar. Because of the popularity of the present problem in terms of applications and importance a number of experimental and numerical results are available in the literature for flow past a square cylinder mounted in a confined channel [8][9][10][11][12][13] .…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Viscous Flow over a Square Cylinder Using Lattice Boltzmann Method

Perumal

Kumar

Dass

2012

ISRN Mathematical Physics

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This work is concerned with the lattice Boltzmann computation of two-dimensional incompressible viscous flow past a square cylinder confined in a channel. It is known that the nature of the flow past cylindrical obstacles is very complex. In the present work, computations are carried out both for steady and unsteady flows using lattice Boltzmann method. Effects of Reynolds number, blockage ratio, and channel length are studied in detail. As good care has been taken to include appropriate measures in the computational method, these results enjoy good credibility. To sum up, the present study reveals many interesting features of square cylinder problem and demonstrates the capability of the lattice Boltzmann method to capture these features.

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A 2D compact fourth-order projection decomposition method

Cited by 48 publications

References 33 publications

Numerical Simulations of a Middle Gap Turbulent Taylor-Couette-Poiseuille Flow

Numerical Simulations of a Middle Gap Turbulent Taylor-Couette-Poiseuille Flow

Multidomain Extension of a Pseudospectral Algorithm for the Direct Simulation of Wall-Confined Rotating Flows

Numerical Simulation of Viscous Flow over a Square Cylinder Using Lattice Boltzmann Method

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