Toward a higher order unsteady finite volume solver based on reproducing kernel methods

Khelladi, Sofiane; Nogueira, Xesús; Bakir, Farid; Colominas, Ignasi

doi:10.1016/j.cma.2011.04.001

Cited by 33 publications

(50 citation statements)

References 48 publications

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“…It is used with a high-order (>2) finite volume method that computes the derivatives of the Taylor reconstruction inside each control volume using MLS approximants. Thus, this new sliding mesh model fits naturally in a high-order MLS-based finite volume framework (Cueto-Felgueroso et al, Comput Methods Appl Mech Eng 196:4712-4736, 2007; Khelladi et al, Comput Methods Appl Mech Eng 200:2348-2362, 2011 for the computation of acoustic wave propagation into turbomachinery. …”

mentioning

confidence: 94%

A Moving Least Squares-Based High-Order-Preserving Sliding Mesh Technique with No Intersections

Ramírez

Nogueira

Foulquié

et al. 2015

Springer Tracts in Mechanical Engineering

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The sliding mesh approach is widely used in numerical simulation of turbomachinery flows to take in to account the rotor/stator or rotor/rotor interaction. This technique allows relative sliding of one grid adjacent to another grid (static or in motion). However, when a high-order method is used, the interpolation used in the sliding mesh model needs to be of, at least, the same order than the numerical scheme, in order to prevent loss of accuracy. In this work we present a sliding mesh model based on the use of Moving Least Squares (MLS) approximations. It is used with a high-order (>2) finite volume method that computes the derivatives of the Taylor reconstruction inside each control volume using MLS approximants. Thus, this new sliding mesh model fits naturally in a high-order MLS-based finite volume framework (Cueto-Felgueroso et al., Comput Methods Appl Mech Eng 196:4712-4736, 2007; Khelladi et al., Comput Methods Appl Mech Eng 200:2348-2362, 2011 for the computation of acoustic wave propagation into turbomachinery. IntroductionRenewable sources of energy, such as wind and tidal power are expected to play a key role in the substitution of conventional energy sources. Wind energy generation systems have been greatly developed in the last two decades. Thus, current wind turbine designs are near their technical limit and new paradigms of design have to L. Ramírez • X. Nogueira ( ) • I. Colominas

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confidence: 94%

A Moving Least Squares-Based High-Order-Preserving Sliding Mesh Technique with No Intersections

Ramírez

Nogueira

Foulquié

et al. 2015

Springer Tracts in Mechanical Engineering

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“…This detail is not the purpose of this paper. So, the interested reader can refer to Nogueira et al [2009] and Khelladi et al [2011].…”

Section: Caa Numerical Set-upmentioning

confidence: 99%

“…The system (6) can be solved using implicit time scheme [Khelladi et al, 2011]. However, in order benefit from an optimized explicit Runge Kutta algorithm, the inverse of the sparse matrix M is computed by a fast pseudo inversion operation described by Foulquié et al [2016].…”

Section: P and Right U U U (R)mentioning

confidence: 99%

Toward a near-field CAA-CFD coupling approach: Application to a centrifugal blower

Foulquié²,

Khelladi

et al. 2017

European Conference on Turbomachinery Fluid Dynamics and Hermodynamics

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Centrifugal blowers are widely used in heating, ventilation and air-conditioning to generate high mass flow in compact geometries. Confined configurations imply important interactions between the impeller and the volute casing, which causes acoustic tonal noise. This study is focused on the simulation of the noise propagation into a subsonic centrifugal blower. In this confined domain, integral methods in acoustic reach their limits since they do not take into account reflection and diffraction. Instead, this near-field propagation issue is tackled here by the use of a wave propagation operator such as Linearized Perturbed Compressible Equations (LPCE). First, a simple acoustic source model is proposed. Then, sources are extracted from CFD computations. This two kind of sources are experimented as inputs into the propagation operator. Spatial resolution is enforced by a high order finite volume CAA solver (FV-MLS). The moving parts are taken into account through an innovative sliding-mesh approach.

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“…We refer the interested reader to [4,5] for a complete description of the computation of MLS derivatives.…”

Section: Moving Least-squaresmentioning

confidence: 99%

A higher-order finite volume method with collocated grid arrangement for incompressible flows

Ramírez¹,

Nogueira²,

Khelladi³

et al. 2015

Computational Methods and Experimental Measurements XVII

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A high accurate finite volume method based on the use of Moving Least Squares (MLS) approximants is presented for the resolution of the incompressible Navier-Stokes equations on unstructured grids. Moreover, in order to eliminate the decoupling between pressure and velocity, we present a new Momentum Interpolation Method that allows interpolations better than linear on any kind of mesh. The accuracy of the new method is evaluated by a steady and unsteady test cases.

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Toward a higher order unsteady finite volume solver based on reproducing kernel methods

Cited by 33 publications

References 48 publications

A Moving Least Squares-Based High-Order-Preserving Sliding Mesh Technique with No Intersections

A Moving Least Squares-Based High-Order-Preserving Sliding Mesh Technique with No Intersections

Toward a near-field CAA-CFD coupling approach: Application to a centrifugal blower

A higher-order finite volume method with collocated grid arrangement for incompressible flows

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