Tenth-order accurate multioperator scheme and its application in direct numerical simulation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 600-614 Cet article a éte moissonné depuis la source Math-Net.Ru

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A tenth-order accurate multioperator difference scheme based on two-point compact noncentered operators is described. Optimal sets of parameters ensuring the smallness of the phase and amplitude errors are found. Results obtained by the numerical simulation of the instability of a hot subsonic jet are discussed. Characteristics of excited acoustic fields are presented.
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M. V. Lipavskii; A. I. Tolstykh. Tenth-order accurate multioperator scheme and its application in direct numerical simulation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 600-614. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a6/

[1] Tolstykh A. I., “Ob odnom semeistve kompaktnykh approksimatsii i osnovannykh na nikh multioperatornykh approksimatsiyakh zadannogo poryadka”, Dokl. AN, 403:2 (2005), 172–177 | MR | Zbl

[2] Tolstykh A. I., “O postroenii skhem zadannogo poryadka s lineinymi kombinatsiyami operatorov”, Zh. vychisl. matem. i matem. fiz., 40:8 (2000), 1206–1220 | MR | Zbl

[3] Tolstykh A. I., “Development of arbitrary-order multioperators-based schemes for parallel calculations. 2: Families of compact approximations with two-diagonal inversions and related multioperators”, J. Comput. Phys., 227 (2008), 2922–2940 | DOI | MR | Zbl

[4] Lipavskii M. V., Tolstykh A. I., Chigerev E. N., “O skheme s multioperatornymi approksimatsiyami 9-go poryadka dlya parallelnykh vychislenii i ee primenenie v zadachakh pryamogo chislennogo modelirovaniya”, Zh. vychisl. matem. i matem. fiz., 46:8 (2006), 1433–1452 | MR

[5] Lipavskii M. V., Chigerev E. N., Chislennoe issledovanie vikhrevykh dvizhenii zhidkostei s pomoschyu netsentrirovannykh kompaktnykh approksimatsii, VTs RAN, M., 2004

[6] Tam C. K. W., Problem 1-aliasing, Fourth Computational Aeroacoustics (CAA) Workshop on benchmark problems, NASA/CP-2004-212954, 2004, 3 pp.

[7] Monkewitz P., Bechert D., Barsikow B., Lehmann B., “Self-excited oscillations and mixing in a heated round jet”, J. Fluid. Mech., 213 (1990), 611–639 | DOI

[8] Lesshafft L., Huerre P., Sagaut P., “Frequence selection in globally unstable round jets”, Phys. Fluids, 19 (2007), 054108, 10 pp. | DOI | Zbl

[9] Böhm M., Tasche M., Seifert B., Mitschke F., “Ttim-to-coherence fourier transform”, J. Comput. Phys., 228 (2009), 2906–2917 | DOI | MR