An adaptive discontinuity fitting technique on unstructured dynamic grids

Chang, Sin-Chung; Bai, Xueyan; Zou, De Gao; Chen, Z.; Liu, J.

doi:10.1007/s00193-019-00913-3

Cited by 11 publications

(16 citation statements)

References 25 publications

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“…17a). Equation ( 20) is similar, but not identical, to the formula proposed in [19] for the same purpose. We compare in Fig.…”

Section: Interaction Between Two Shocks Of the Same Familymentioning

confidence: 97%

“…Thanks to these new developments the interest in shock-fitting/tracking methods has seen a resurgence with the proposal of several implicit and explicit algorithms [15,16,17,18,19,20,21,22,23]. A limitation of this technique is that it heavily relies on the flexibility of triangular and tetrahedral grids to locally produce a fitted unstructured grid around the discontinuities.…”

Section: Introductionmentioning

confidence: 99%

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Extrapolated DIscontinuity Tracking for complex 2D shock interactions

Ciallella,

Ricchiuto,

Paciorri

et al. 2021

Preprint

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A new shock-tracking technique that avoids re-meshing the computational grid around the moving shock-front was recently proposed by the authors [1]. This paper describes further algorithmic improvements which make the extrapolated Discontinuity Tracking Technique (eDIT ) capable of dealing with complex shock-topologies featuring shock-shock and shock-wall interactions. Various testcases are included to describe the key features of the methodology and prove its order-of-convergence properties.

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“…17a). Equation ( 20) is similar, but not identical, to the formula proposed in [19] for the same purpose. We compare in Fig.…”

Section: Interaction Between Two Shocks Of the Same Familymentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Extrapolated DIscontinuity Tracking for complex 2D shock interactions

Ciallella,

Ricchiuto,

Paciorri

et al. 2021

Preprint

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“…(14), which is the only quantity that has been correctly computed onΓ D by the unstructured shockcapturing solver, has to be transferred fromΓ D to Γ D using Eq. (15). The procedure is identical to that used for the upstream boundaries: starting from the shock-point to be updated and moving forward along its normal vector as far as an edge ofΓ D is intersected in B i (see Fig.…”

Section: Downstream: Fromγ D To γ Dmentioning

confidence: 99%

“…Type IV shock-shock interaction. This last benchmark introduced in which has been already studied in [15]. For clarity, we have drawn in Fig.…”

Section: Steady Machmentioning

confidence: 99%

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Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods

Ciallella

Ricchiuto

Paciorri

et al. 2020

Journal of Computational Physics

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We propose a novel approach to approximate numerically shock waves. The method combines the unstructured shock-fitting approach developed in the last decade by some of the authors, with ideas coming from embedded boundary techniques. The numerical method obtained allows avoiding the remeshing phase required by the unstructured fitting method, while guaranteeing accuracy properties very close to those of the fitting approach. This new method has many similarities with front tracking approaches, and paves the way to shock-tracking techniques truly independent on the data and mesh structure used by the flow solver. The approach is tested on several problems showing accuracy properties very close to those of more expensive fitting methods, with a considerable gain in flexibility and generality.

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