ILES Using the Correction Procedure via Reconstruction Scheme

Vermeire, Brian C.; Cagnone, Jean-Sebastien; Nadarajah, Siva

doi:10.2514/6.2013-1001

Cited by 16 publications

(18 citation statements)

References 18 publications

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“…Here we revisit the results of Vermeire et al 19 for ILES of the Taylor-Green Vortex. We extend those results by considering finer resolution test cases for each of the P1 to P5 schemes, and present all the results here as a complete set.…”

Section: B Taylor-green Vortexmentioning

confidence: 88%

“…21 However, due to the relatively low Mach numbers used in the current study without the presence of discontinuities, this fix has not been implemented to avoid the additional computational cost. We solve the system of equations in computational space, as in Haga et al, 11 Vermeire et al, 19 and Vermeire and Nadarajah. 20…”

Section: Spatial Discretization Using the Correction Procedures Vmentioning

confidence: 99%

“…This scheme has been successfully implemented for linear, quadrilateral, 9 triangular, 10 tetrahedral, and triangular prism elements. 11 The current work focuses on an implementation for hexahedral elements extending from the validation and ILES results of Vermeire et al 19 and Vermeire and Nadarajah. 20 A detailed derivation of the CPR scheme is presented by Haga et al 11 Explanation of the implementation for the current flowsolver is outlined by Vermeire et al 19 The reader is referred to these papers for a more thorough discussion of the numerical scheme.…”

Section: Spatial Discretization Using the Correction Procedures Vmentioning

confidence: 99%

“…11 The current work focuses on an implementation for hexahedral elements extending from the validation and ILES results of Vermeire et al 19 and Vermeire and Nadarajah. 20 A detailed derivation of the CPR scheme is presented by Haga et al 11 Explanation of the implementation for the current flowsolver is outlined by Vermeire et al 19 The reader is referred to these papers for a more thorough discussion of the numerical scheme. The CPR scheme uses an element-wise polynomial description of the flow solution, constructed from values at a set of solution points, that is discontinuous between neighbouring elements.…”

Section: Spatial Discretization Using the Correction Procedures Vmentioning

confidence: 99%

See 3 more Smart Citations

Canonical Test Cases for High-Order Unstructured Implicit Large Eddy Simulation

Vermeire

Nadarajah

Tucker

2014

52nd Aerospace Sciences Meeting

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We perform simulations of the Comte-Bellot-Corsin experiment, the Taylor-Green vortex, and turbulent channel flow using the high-order unstructured correction procedure via reconstruction scheme. Results show that the CPR scheme can be applied for ILES of turbulent flows as they are in good agreement with available DNS and experimental data. High-order schemes outperform low-order schemes on a per degree of freedom basis, motivating their further use based on accuracy and computational cost considerations.

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Section: B Taylor-green Vortexmentioning

confidence: 88%

Section: Spatial Discretization Using the Correction Procedures Vmentioning

confidence: 99%

Section: Spatial Discretization Using the Correction Procedures Vmentioning

confidence: 99%

Section: Spatial Discretization Using the Correction Procedures Vmentioning

confidence: 99%

See 2 more Smart Citations

Canonical Test Cases for High-Order Unstructured Implicit Large Eddy Simulation

Vermeire

Nadarajah

Tucker

2014

52nd Aerospace Sciences Meeting

Self Cite

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“…By employing the high-order FR method with LES on unstructured grids, limitations related to structured grid generation, grid resolution, and computational efficiency can be overcome. [9][10][11][12] II. Numerical Methods…”

Section: Introductionmentioning

confidence: 99%

A Survey of the Isentropic Euler Vortex Problem using High-Order Methods

Spiegel

Huynh

DeBonis

2015

22nd AIAA Computational Fluid Dynamics Conference

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The flux reconstruction (FR) method offers a simple, efficient, and easy to implement method, and it has been shown to equate to a differential approach to discontinuous Galerkin (DG) methods. The FR method is also accurate to an arbitrary order and the isentropic Euler vortex problem is used here to empirically verify this claim. This problem is widely used in computational fluid dynamics (CFD) to verify the accuracy of a given numerical method due to its simplicity and known exact solution at any given time. While verifying our FR solver, multiple obstacles emerged that prevented us from achieving the expected order of accuracy over short and long amounts of simulation time. It was found that these complications stemmed from a few overlooked details in the original problem definition combined with the FR and DG methods achieving high-accuracy with minimal dissipation. This paper is intended to consolidate the many versions of the vortex problem found in the literature and to highlight some of the consequences if these overlooked details remain neglected.

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Implicit large eddy simulation using the high‐order correction procedure via reconstruction scheme

Vermeire

Nadarajah

Tucker

2016

Numerical Methods in Fluids

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SUMMARYWe investigate implicit large eddy simulation of the Taylor-Green vortex, Comte-Bellot-Corrsin experiment, turbulent channel flow and transitional and turbulent flow over an SD7003 airfoil using the high-order unstructured correction procedure via reconstruction (CPR) scheme, also known as the flux reconstruction scheme. We employ P1 (second-order) to P5 (sixth-order) spatial discretizations. Results show that the CPR scheme can accurately predict turbulent flows without the addition of a sub-grid scale model. Numerical dissipation, concentrated at the smallest resolved scales, is found to filter high-frequency content from the solution. In addition, the high-order schemes are found to be more accurate than the low-order schemes on a per degree of freedom basis for the canonical test cases we consider. These results motivate the further investigation and use of the CPR scheme for simulating turbulent flows.

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ILES Using the Correction Procedure via Reconstruction Scheme

Cited by 16 publications

References 18 publications

Canonical Test Cases for High-Order Unstructured Implicit Large Eddy Simulation

Canonical Test Cases for High-Order Unstructured Implicit Large Eddy Simulation

A Survey of the Isentropic Euler Vortex Problem using High-Order Methods

Implicit large eddy simulation using the high‐order correction procedure via reconstruction scheme

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