Geodesic
Localization of gas-dynamic fields singularities and adaptation of grid to the singularities position
Matematičeskoe modelirovanie, Tome 24 (2012) no. 12, pp. 49-54.

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Previously authors developed the wavelet based algorithm allowing to localize singularities in gas-dynamic fields calculations received with use of shock capturing methods. Efficiency of use of the specified algorithm for grids adaptation to the singularities position is demonstrated. Analogs of shock waves existing when modeling flows on ideal model are localized during research of structure viscous 3D flow.
Keywords: wavelets, singularity detection, gas dynamic. 
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A. L. Afendikov; A. E. Lutsky; A. V. Plenkin. Localization of gas-dynamic fields singularities and adaptation of grid to the singularities position. Matematičeskoe modelirovanie, Tome 24 (2012) no. 12, pp. 49-54. http://geodesic.mathdoc.fr/item/MM_2012_24_12_a8/

[1] Mazhukin V. I., Samarskii A. A., Kastelyanos O., Shapranov A. V., “Metod dinamicheskoi adaptatsii dlya nestatsionarnykh zadach s bolshimi gradientami”, Matematicheskoe modelirovanie, 5:4 (1993), 32–56 | MR | Zbl

[2] Breslavskii P. V., Mazhukin V. I., “Metod dinamicheskoi adaptatsii v zadachakh gazovoi dinamiki”, Matematicheskoe modelirovanie, 7:12 (1995), 48–78 | MR

[3] Afendikov A. L., Levkovich-Maslyuk L. I., Lutskii A. E., Plenkin A. V., “Lokalizatsiya razryvov v polyakh gazodinamicheskikh funktsii s pomoschyu veivlet analiza”, Matematicheskoe modelirovanie, 20:7 (2008), 65–84 | Zbl

[4] Afendikov A. L., Lutskii A. E., Plenkin A. V., “Veivletnyi analiz lokalizovannykh struktur v idealnoi i vyazkoi modelyakh”, Matematicheskoe modelirovanie, 23:1 (2011), 41–50 | MR | Zbl

[5] Znamenskaya I. A., Koroteev D. A., Lutskii A. E., “Eksperimentalnaya realizatsiya dvumernoi zadachi o raspade razryva pri impulsnoi ionizatsii potoka s udarnoi volnoi”, DAN, 420:5 (2008), 619–622