Plane transonic solution with shock by direct iteration

Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Niyogi, P. [verfasserIn] Das, T. K.

Format:	Artikel
Sprache:	Englisch

Erschienen:	1981

Schlagwörter:	Iteration Step Free Stream Free Stream Velocity Iteration Scheme Profile Shape

Anmerkung:	© Springer-Verlag 1981

Übergeordnetes Werk:	Enthalten in: Acta mechanica - Springer-Verlag, 1965, 38(1981), 3-4 vom: Sept., Seite 169-181
Übergeordnetes Werk:	volume:38 ; year:1981 ; number:3-4 ; month:09 ; pages:169-181

Links:	Volltext

DOI / URN:	10.1007/BF01176461

Katalog-ID:	OLC2030102555

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allfields	10.1007/BF01176461 doi (DE-627)OLC2030102555 (DE-He213)BF01176461-p DE-627 ger DE-627 rakwb eng 530 VZ Niyogi, P. verfasserin aut Plane transonic solution with shock by direct iteration 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. Iteration Step Free Stream Free Stream Velocity Iteration Scheme Profile Shape Das, T. K. aut Enthalten in Acta mechanica Springer-Verlag, 1965 38(1981), 3-4 vom: Sept., Seite 169-181 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:38 year:1981 number:3-4 month:09 pages:169-181 https://doi.org/10.1007/BF01176461 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 38 1981 3-4 09 169-181
spelling	10.1007/BF01176461 doi (DE-627)OLC2030102555 (DE-He213)BF01176461-p DE-627 ger DE-627 rakwb eng 530 VZ Niyogi, P. verfasserin aut Plane transonic solution with shock by direct iteration 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. Iteration Step Free Stream Free Stream Velocity Iteration Scheme Profile Shape Das, T. K. aut Enthalten in Acta mechanica Springer-Verlag, 1965 38(1981), 3-4 vom: Sept., Seite 169-181 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:38 year:1981 number:3-4 month:09 pages:169-181 https://doi.org/10.1007/BF01176461 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 38 1981 3-4 09 169-181
allfields_unstemmed	10.1007/BF01176461 doi (DE-627)OLC2030102555 (DE-He213)BF01176461-p DE-627 ger DE-627 rakwb eng 530 VZ Niyogi, P. verfasserin aut Plane transonic solution with shock by direct iteration 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. Iteration Step Free Stream Free Stream Velocity Iteration Scheme Profile Shape Das, T. K. aut Enthalten in Acta mechanica Springer-Verlag, 1965 38(1981), 3-4 vom: Sept., Seite 169-181 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:38 year:1981 number:3-4 month:09 pages:169-181 https://doi.org/10.1007/BF01176461 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 38 1981 3-4 09 169-181
allfieldsGer	10.1007/BF01176461 doi (DE-627)OLC2030102555 (DE-He213)BF01176461-p DE-627 ger DE-627 rakwb eng 530 VZ Niyogi, P. verfasserin aut Plane transonic solution with shock by direct iteration 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. Iteration Step Free Stream Free Stream Velocity Iteration Scheme Profile Shape Das, T. K. aut Enthalten in Acta mechanica Springer-Verlag, 1965 38(1981), 3-4 vom: Sept., Seite 169-181 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:38 year:1981 number:3-4 month:09 pages:169-181 https://doi.org/10.1007/BF01176461 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 38 1981 3-4 09 169-181
allfieldsSound	10.1007/BF01176461 doi (DE-627)OLC2030102555 (DE-He213)BF01176461-p DE-627 ger DE-627 rakwb eng 530 VZ Niyogi, P. verfasserin aut Plane transonic solution with shock by direct iteration 1981 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1981 Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. Iteration Step Free Stream Free Stream Velocity Iteration Scheme Profile Shape Das, T. K. aut Enthalten in Acta mechanica Springer-Verlag, 1965 38(1981), 3-4 vom: Sept., Seite 169-181 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:38 year:1981 number:3-4 month:09 pages:169-181 https://doi.org/10.1007/BF01176461 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_59 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2020 GBV_ILN_2027 GBV_ILN_2057 GBV_ILN_2333 GBV_ILN_4046 GBV_ILN_4309 GBV_ILN_4313 GBV_ILN_4316 GBV_ILN_4319 GBV_ILN_4700 AR 38 1981 3-4 09 169-181
language	English
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title	Plane transonic solution with shock by direct iteration
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title_full	Plane transonic solution with shock by direct iteration
author_sort	Niyogi, P.
journal	Acta mechanica
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author_browse	Niyogi, P. Das, T. K.
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author-letter	Niyogi, P.
doi_str_mv	10.1007/BF01176461
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title_sort	plane transonic solution with shock by direct iteration
title_auth	Plane transonic solution with shock by direct iteration
abstract	Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. © Springer-Verlag 1981
abstractGer	Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. © Springer-Verlag 1981
abstract_unstemmed	Summary Transonic reduced pressure distributions at thin symmetrical nonlifting profiles, with high subsonic free stream velocity are predicted by determining approximate solutions of the Oswatitsch integral equation by direct iteration scheme [1], which is extended here to include shocks. Converged solution with shock may be obtained if the starting solution contains a shock discontinuity or else, if with a continuous starting solution, the expansion shock which appearts at the accelerating sonic point be excluded at each iteration step. Computational results have been presented for a NACA 0012 profile and a parabolic arc profile and compared with other numerical results, which indicate good agreement, particularly for the shock position. A typical profile shape with shock converges in only 16 iteration steps, correct up to two decimal places requiring about 30 secs. of CPU time on a Burroughs B6700 computer system. © Springer-Verlag 1981
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title_short	Plane transonic solution with shock by direct iteration
url	https://doi.org/10.1007/BF01176461
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author2	Das, T. K.
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up_date	2024-07-04T01:16:30.940Z
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