Vortex Loops Based Method for Subsonic Aerodynamic Loads Calculation

Shcheglov, G. A.; Dergachev, Sergey A.

doi:10.1051/matecconf/201822105004

Cited by 5 publications

(3 citation statements)

References 6 publications

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“…The results of numerical experiments show, that it is necessary to implement special "correction" procedures, which stabilize the numerical algorithm and permit achieving rather high accuracy even at relatively coarse spatial and time discretization. At every time step several procedures are required for the loops shape smoothing, loop segments length alignment and loops reconnection [11].…”

Section: Vortex Loops Motion Simulationmentioning

confidence: 99%

On the Algorithms for Vortex Element Evolution Modelling in 3D Fully Lagrangian Vortex Loops Method

Marchevsky¹,

Shcheglov²,

Dergachev³

2020

Topical Problems of Fluid Mechanics 2020

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Some implementation details of fully Lagrangian vortex loops method algorithm are presented. The vortex loops method can be applied to various engineering applications, where it is required to simulate the flow around the body of arbitrary shape and to estimate hydrodynamic loads. The original approach is implemented that permits to solve boundary integral equation with rather high accuracy at coarse and non-uniform body surface triangulation. Vorticity distribution in the flow is simulated by closed vortex loops. The presented algorithm allows to simulate movement of the vortex loops, which simulate vorticity distribution in the flow, their stretching, reconnection, etc. Note, that the viscosity influence is taken into account only through vorticity generation on the body surface.

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Section: Vortex Loops Motion Simulationmentioning

confidence: 99%

On the Algorithms for Vortex Element Evolution Modelling in 3D Fully Lagrangian Vortex Loops Method

Marchevsky¹,

Shcheglov²,

Dergachev³

2020

Topical Problems of Fluid Mechanics 2020

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“…The mentioned problems can be overcomed by closed vortex filaments (vortex loops) reconstruction. Positions and circulations of vortex loops can be found according to the following algorithm [3,11,12]:…”

Section: Double Layer Potential Density Direct Reconstructionmentioning

confidence: 99%

New Modification of 3d Meshless Lagrangian Vortex Method With Improved Boundary Condition Satisfaction and Divergence-Free Vorticity Representation

Marchevsky¹,

Scheglov²,

Dergachev³

2019

Topical Problems of Fluid Mechanics 2019

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A new approach is developed for incompressible 3D flow simulation around bodies by Lagrangian vortex method. Closed vortex loops are considered as vortex elements, which are generated on all the body surface and provide the satisfaction of the no-slip boundary condition. The procedure of double layer potential density reconstruction is considered, which consists of two steps. Firstly, the integral equation with respect to vortex sheet intensity is solved, which expresses the equality between the tangential components of flow velocity limit value and the body surface velocity. It is solved by using Galerkin approach. Secondly, the least-squares procedure is implemented, which permits to find nodal values of the double layer potential density. It is shown that the developed algorithm makes it possible to improve significantly the quality of solution for the bodies with very complicated geometry and low-quality surface meshes. The combination of this approach with vortex wake modelling with vortex loops, permits to simulate unsteady flows with higher resolution with acceptable numerical complexity. It can be useful for CFD applications and visual effects reproducing in computer graphics.

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“…This can lead to significant error in velocity field reconstruction in neighborhood of the body surface, that in turn leads to error in pressure distribution reconstruction. The mentioned problems can be partially overcome by representing of the surface vorticity distribution as a system of closed vortex filaments -vortex loops, which positions and circulations can be found according to [6]- [8] based on known double layer potential distribution.…”

Section: Introductionmentioning

confidence: 99%

Numerical Computation of Double Surface Integrals Over Triangular Cells for Vortex Sheet Intensity Reconstruction on Body Surface in 3d Vortex Methods

Marchevsky

Shcheglov

2019

Boundary Elements and Other Mesh Reduction Methods XLII

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In this paper, a new approach is developed for the computation of vortex sheet intensity in vortex methods for 3D flow simulation. The problem is reduced to a boundary integral equation of the second kind on the body surface with respect to an unknown vector variable. The proposed technique makes it possible to improve the accuracy significantly in comparison to the technique traditionally implemented in vortex methods. A Galerkin-type approach is used with piecewise-constant basis functions. The coefficients of the resulting algebraic system are expressed through double surface integrals, calculated over the mesh cells. A semi-analytic technique is developed for the integrals calculation; integration over one cell is carried out analytically, while at the integration over the other cell (having common edge or vertex with the first one), the integrand is singular. Analytic expressions are obtained for singular parts of integrands and for the results of their integration. The regular parts of the integrands are integrated numerically. The developed approach provides less than 0.1% error. The regularization technique is developed for a divergence-free vortex sheet reconstruction on the body surface. The developed approach works well on coarse and non-uniform surface meshes for complex-shaped bodies, which is important for engineering applications.

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Vortex Loops Based Method for Subsonic Aerodynamic Loads Calculation

Cited by 5 publications

References 6 publications

On the Algorithms for Vortex Element Evolution Modelling in 3D Fully Lagrangian Vortex Loops Method

On the Algorithms for Vortex Element Evolution Modelling in 3D Fully Lagrangian Vortex Loops Method

New Modification of 3d Meshless Lagrangian Vortex Method With Improved Boundary Condition Satisfaction and Divergence-Free Vorticity Representation

Numerical Computation of Double Surface Integrals Over Triangular Cells for Vortex Sheet Intensity Reconstruction on Body Surface in 3d Vortex Methods

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