Phonatory and Resonatory Problems

Rieber, Robert W.

doi:10.1007/978-1-4757-9760-2_9

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Eulerian Scheme1

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2002

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“…The basic features of the explicit and implicit schemes are depicted in Figure 6 [20]. For simplicity and clarity, the initial reconstruction has been done with a VOF=SLIC method, with the interface in each cell approximated by a segment aligned with one of the two co-ordinate axis, as shown in Figure 6(a).…”

Section: Eulerian Schemementioning

confidence: 99%

Interface reconstruction with least‐square fit and split Eulerian–Lagrangian advection

Scardovelli

Zaleski

2002

Numerical Methods in Fluids

231

222

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SUMMARYTwo new volume-of-uid (VOF) reconstruction algorithms, which are based on a least-square ÿt technique, are presented. Their performance is tested for several standard shapes and is compared to a few other VOF=PLIC reconstruction techniques, showing in general a better convergence rate. The geometric nature of Lagrangian and Eulerian split advection algorithms is investigated in detail and a new mixed split Eulerian implicit-Lagrangian explicit (EI-LE) scheme is presented. This method conserves the mass to machine error, performs better than split Eulerian and Lagrangian algorithms, and it is only slightly worse than unsplit schemes. However, the combination of the interface reconstruction with the least-square ÿt and its advection with the EI-LE scheme appears superior to other existing approaches.

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Section: Eulerian Schemementioning

confidence: 99%