Development and analysis of high-order vorticity confinement schemes

Petropoulos, Ilias; Costes, M.; Cinnella, Paola

doi:10.1016/j.compfluid.2017.04.011

Cited by 11 publications

(10 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Confinement schemes for the linear transport equation were previously developed and analyzed for high-order extensions of the Lax-Wendroff and Beam-Warming schemes. 20 This section presents a scalar high-order formulation of confinement for upwind non-compact flux discretizations 21 which are decoupled in space and time. In the scalar case of the linear transport equation…”

Section: Iia Linear Transport Equationmentioning

confidence: 99%

“…( 8) to increase the order of differencing, in analogy with the δ operator in the linear case. 19,21 The alternate sign of high-order derivatives is then naturally introduced. A 3 rd -order VC term can be obtained by applying twice the curl operator on f as:…”

Section: Iib Navier-stokes Equationsmentioning

confidence: 99%

“…Finally, the computation of derivatives for the VC term is performed successively in the extended computational domain so that the VC term is accurately computed on the domain boundary. To ensure consistency with high-order flux discretizations 19,21 the order of VC is always taken equal to the order of the baseline scheme for all cases presented in Section III.…”

Section: Iib Navier-stokes Equationsmentioning

confidence: 99%

“…On this basis, high-order extensions of the conservative VC2 formulation of Steinhoff have been developed for the Euler and Navier-Stokes equations based on the Laplacian of the original VC term. 19,21 These extensions remain independent of the baseline numerical scheme and rotationally invariant, as the original method of Steinhoff. Furthermore, results show that they maintain the vorticity-preserving efficiency of the original method and are appropriate for high-order simulations as they preserve the global high-order of accuracy in vortical regions.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Vortical flow calculations using a high-order Vorticity Confinement method

Petropoulos¹,

Costes²,

Cinnella

2017

23rd AIAA Computational Fluid Dynamics Conference

View full text Add to dashboard Cite

A high-order Vorticity Confinement (VC) method is applied to the calculation of compressible vortical flows. High-order extensions of the VC methodology have been developed for the Navier-Stokes equations using a methodology that remains independent of the baseline numerical scheme, as the original VC formulation of Steinhoff. The VC method is primarily oriented towards the accurate calculation of cases involving the advection of vortical structures (e.g. wakes), allowing their propagation over long distances with low numerical dissipation. The present work however mainly investigates their applicability to the simulation of turbulent flows, where the improvement in the preservation of vortical structures shows great interest. High-order VC schemes were found to be consistent with complex vortical flow dynamics without the need of special treatment to accommodate the vortex interaction mechanisms characteristic of turbulent flows. Furthermore, they were found to consistently improve the resolvability of baseline FE-MUSCL schemes for reasonable values of the confinement parameter ε, close to the value of the high-order artificial dissipation coefficient. Last, the dependence of the solution on the confinement parameter µ was found to be moderate for the values and cases investigated in this paper.

show abstract

Section: Iia Linear Transport Equationmentioning

confidence: 99%

Section: Iib Navier-stokes Equationsmentioning

confidence: 99%

Section: Iib Navier-stokes Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vortical flow calculations using a high-order Vorticity Confinement method

Petropoulos¹,

Costes²,

Cinnella

2017

23rd AIAA Computational Fluid Dynamics Conference

View full text Add to dashboard Cite

show abstract

“…In 2016, Costes et al proposed a vorticity confinement method with a 3-order accuracy, and used this method for Euler and Reynolds Averaged Navier-Stokes equations (M Costes et al, 2016). In 2017, Petropoulos et al increased the accuracy of this method to fifth order (Petropoulos et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Improvement of Compressible Vorticity Confinement Method by Combining It with Vortex Feature Detection Methods

Mohseni

Jafarian

2018

JAFM

View full text Add to dashboard Cite

In the present study, the performance of the vorticity confinement method has been improved by combining it with the vortex feature detection methods. In the conventional vorticity confinement method, the only parameter to apply or not to apply vorticity confinement is the non-zero value of vorticity. On the other hand, the presence of vorticity in some cases, like the boundary layer and the shear layer flows, does not imply the presence of vortices. Applying the vorticity confinement at these points can lead to errors, in addition to loss of solution time. In order to solve this problem, using the combination of vorticity confinement method and four methods of vortex feature detection (non-dimensional , non-dimensional , non-dimensional modified ∆, and the − Ω correlation) the vorticity confinement term is applied only in vortex regions. In order to investigate the effects of this combination, the compressible Euler equation has been investigated for the problem of two-dimensional stationary single vortex at Mach number 0.5. The results indicate significant positive effects in reducing the solving time, decreasing the sensitivity of the solution to the amount of confinement parameter and significant elimination of the oscillation.

show abstract

Numerical investigations of the vortex feature-based vorticity confinement models for the assessment in three-dimensional vortex-dominated flows

Yuan

Vigevano

2022

Meccanica

View full text Add to dashboard Cite

In order to improve the vortex resolution in aerodynamic wakes, a locally normalized vortex feature-based vorticity confinement method is implemented into the multi-block, structured computational fluid dynamics solver (ROSITA). In this method, the second vorticity confinement (VC2) scheme with two well-known vortex feature detection methods (non-dimensional Q criterion, non-dimensional $$\lambda _2$$ λ 2 criterion) is employed to counterbalance the truncation error introduced by the numerical discretization of the convective term. The flow field of two benchmark three-dimensional steady vortex-dominated cases, the NACA0015 wing and the Caradonna–Tung hovering rotor, is simulated with the implemented method. The improvements in aerodynamics prediction, vorticity preservation, computational stability, and efficiency are demonstrated. From the numerical results, the vortex feature-based confinement models significantly improve the computational stability, the aerodynamic loads prediction and vorticity preservation capability, especially for the $$\lambda _2$$ λ 2 –based VC2 model. In addition, it allows the use of higher confinement parameters on a coarse grid with a relatively higher computational efficiency to obtain better results than those of a finer grid.

show abstract

Development and analysis of high-order vorticity confinement schemes

Cited by 11 publications

References 35 publications

Vortical flow calculations using a high-order Vorticity Confinement method

Vortical flow calculations using a high-order Vorticity Confinement method

Improvement of Compressible Vorticity Confinement Method by Combining It with Vortex Feature Detection Methods

Numerical investigations of the vortex feature-based vorticity confinement models for the assessment in three-dimensional vortex-dominated flows

Contact Info

Product

Resources

About