A novel vortex scheme with instantaneous vorticity conserved boundary conditions

Pang, Jianhua; Zong, Zhi; Zou, Li; Wang, Z.

doi:10.1016/j.euromechflu.2015.12.010

Cited by 7 publications

(8 citation statements)

References 19 publications

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“…However, this strategy would ruin the streamlined surface and result in a large numerical error. Pang et al [31] presented the IVCBC method to deal with vortex blobs crossing the surface. In this approach, a vortex blob leaking into a solid is mapped onto the fluid domain with the same strength by the circle theorem, rather than by its mirror image, which would lead to a change of position of this element.…”

Section: Numerical Implementationmentioning

confidence: 99%

“…To avoid the loss of simulation accuracy, a new boundary scheme has been developed in this study to handle these vortices using the circle theorem and conformal mapping. The IVCBC method [31] was established using the circle theorem, which exhibits an excellent result in flow around a circular cylinder. Encouragingly, this method can be extended to other bodies of arbitrary shape by employing the conformal mapping technique.…”

Section: A Novel Boundary Scheme To Address Flow Past Elliptic Cylindersmentioning

confidence: 99%

“…Instead of the algorithms mentioned above, Pang et al [31,32] have presented instantaneous vorticity conserved boundary conditions (IVCBC) to address elements inside structures using the circle theorem technique [4]. This algorithm ensures that the total circulation of vortex blobs is conserved at any time step, and it can keep the streamlined surface non-destructive.…”

Section: Introductionmentioning

confidence: 99%

“…This algorithm ensures that the total circulation of vortex blobs is conserved at any time step, and it can keep the streamlined surface non-destructive. Flows over circular cylinders, based on the vortex method with the IVCBC scheme, have been discussed by Pang [31], who made an effort to improve the precision of the vortex method. However, this improved scheme can only be employed in the specific situation of flows around circular cylinders, due to the employment of the circle theorem.…”

Section: Introductionmentioning

confidence: 99%

“…This study provides a detailed description of this new scheme and its numerical implementation. We first calculated the flow past a circular cylinder at Re = 1.4 × 10 5 , based on the IVCBC boundary scheme developed by Pang et al [31]. Then, we performed simulations of viscous flow around a series of elliptic cylinders with various thickness-to-chord ratios at Reynolds numbers greater than 1 × 10 5 .…”

Section: Introductionmentioning

confidence: 99%

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Conformal Mapping-Based Discrete Vortex Method for Simulating 2-D Flows around Arbitrary Cylinders

Guo

Sun

Zong

et al. 2021

JMSE

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A novel technique based on conformal mapping and the circle theorem has been developed to tackle the boundary penetration issue, in which vortex blobs leak into structures in two-dimensional discrete vortex simulations, as an alternative to the traditional method in which the blobs crossing the boundary are simply removed from the fluid field or reflected back to their mirror-image positions outside the structure. The present algorithm introduces an identical vortex blob outside the body using the mapping method to avoid circulation loss caused by the vortex blob penetrating the body. This can keep the body surface streamlined and guarantees that the total circulation will be constant at any time step. The model was validated using cases of viscous incompressible flow passing elliptic cylinders with various thickness-to-chord ratios at Reynolds numbers greater than Re = 1 × 105. The force and velocity fields revealed that this boundary scheme converged, and the resultant time-averaged surface pressure distributions were all in excellent agreement with wind tunnel tests. Furthermore, a flow around a symmetrical Joukowski foil at Reynolds number Re = 4.62 × 104, without considering the trailing cusp, was investigated, and a close agreement with the experimental data was obtained.

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Section: Numerical Implementationmentioning

confidence: 99%

Section: A Novel Boundary Scheme To Address Flow Past Elliptic Cylindersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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