{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T03:02:20Z","timestamp":1769223740768,"version":"3.49.0"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,2,17]],"date-time":"2021-02-17T00:00:00Z","timestamp":1613520000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,2,17]],"date-time":"2021-02-17T00:00:00Z","timestamp":1613520000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"This research was partially supported by the National Numerical Windtunnel project."},{"DOI":"10.13039\/501100002418","name":"Institute of Chinese Materia Medica, China Academy of Chinese Medical Sciences and Peking Union Medical College","doi-asserted-by":"crossref","award":["11732016"],"award-info":[{"award-number":["11732016"]}],"id":[{"id":"10.13039\/501100002418","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Sichuan Science and Technology Program","award":["2018JZ0076"],"award-info":[{"award-number":["2018JZ0076"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2021,4]]},"DOI":"10.1007\/s10915-020-01407-6","type":"journal-article","created":{"date-parts":[[2021,2,19]],"date-time":"2021-02-19T07:08:45Z","timestamp":1613718525000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Assessment of Upwind\/Symmetric WENO Schemes for Direct Numerical Simulation of Screech Tone in Supersonic Jet"],"prefix":"10.1007","volume":"87","author":[{"given":"Hu","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Luo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0588-3207","authenticated-orcid":false,"given":"Shuhai","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,2,17]]},"reference":[{"issue":"6","key":"1407_CR1","doi-asserted-by":"publisher","first-page":"3101","DOI":"10.1016\/j.jcp.2007.11.038","volume":"227","author":"R Borges","year":"2008","unstructured":"Borges, R., Carmona, M., Costa, B., Don, W.S.: An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J. Comput. Phys. 227(6), 3101\u20133211 (2008)","journal-title":"J. Comput. Phys."},{"key":"1407_CR2","doi-asserted-by":"publisher","first-page":"1766","DOI":"10.1016\/j.jcp.2010.11.028","volume":"230","author":"M Castro","year":"2011","unstructured":"Castro, M., Costa, B., Don, W.S.: High order weighted essentially non-oscillatory weno-z schemes for hyperbolic conservation laws. J. Comput. Phys. 230, 1766\u20131792 (2011)","journal-title":"J. Comput. Phys."},{"issue":"9","key":"1407_CR3","doi-asserted-by":"publisher","first-page":"1574","DOI":"10.2514\/3.11817","volume":"31","author":"T Colonius","year":"1993","unstructured":"Colonius, T., Lele, S.K., Moin, P.: Boundary conditions for direct computation of aerodynamic sound generation. AIAA J. 31(9), 1574\u20131582 (1993)","journal-title":"AIAA J."},{"key":"1407_CR4","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1016\/j.jcp.2013.05.018","volume":"250","author":"WS Don","year":"2013","unstructured":"Don, W.S., Borges, R.: Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes. J. Comput. Phys. 250, 347\u2013372 (2013)","journal-title":"J. Comput. Phys."},{"key":"1407_CR5","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1006\/jcph.1999.6238","volume":"152","author":"F Ducros","year":"1999","unstructured":"Ducros, F., Ferrand, V., Nicoud, F., Weber, C., Darracq, D., Gacherieu, C., Poinsot, T.: Large-eddy simulation of the shock\/turbulence interaction. J. Comput. Phys. 152, 517\u2013549 (1999)","journal-title":"J. Comput. Phys."},{"issue":"2\u20133","key":"1407_CR6","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1177\/1475472X19834521","volume":"18","author":"D Edgington-Mitchell","year":"2019","unstructured":"Edgington-Mitchell, D.: Aeroacoustic resonance and self-excitation in screeching and impinging supersonic jets-a review. Int. J. Aeroacoustics 18(2\u20133), 118\u2013188 (2019)","journal-title":"Int. J. Aeroacoustics"},{"key":"1407_CR7","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1016\/j.paerosci.2005.03.003","volume":"41","author":"JA Ekaterinaris","year":"2005","unstructured":"Ekaterinaris, J.A.: High-order accurate, low numerical diffusion methods for aerodynamics. Prog. Aerosp. Sci. 41, 192\u2013300 (2005)","journal-title":"Prog. Aerosp. Sci."},{"issue":"4","key":"1407_CR8","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1260\/1475-472X.10.4.465","volume":"10","author":"JH Gao","year":"2011","unstructured":"Gao, J.H., Li, X.D.: Large eddy simulation of supersonic jet noise from a circular nozzle. Int. J. Aeroacoustics 10(4), 465\u2013474 (2011)","journal-title":"Int. J. Aeroacoustics"},{"key":"1407_CR9","doi-asserted-by":"publisher","first-page":"542","DOI":"10.1016\/j.jcp.2005.01.023","volume":"207","author":"AK Henrick","year":"2005","unstructured":"Henrick, A.K., Aslam, T.D., Powers, J.M.: Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points. J. Comput. Phys. 207, 542\u2013567 (2005)","journal-title":"J. Comput. Phys."},{"key":"1407_CR10","doi-asserted-by":"publisher","first-page":"8952","DOI":"10.1016\/j.jcp.2010.08.019","volume":"229","author":"XY Hu","year":"2010","unstructured":"Hu, X.Y., Wang, Q., Adams, N.A.: An adaptive central-upwind weighted essentially non-oscillatory scheme. J. Comput. Phys. 229, 8952\u20138965 (2010)","journal-title":"J. Comput. Phys."},{"key":"1407_CR11","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1006\/jcph.1996.0130","volume":"126","author":"GS Jiang","year":"1996","unstructured":"Jiang, G.S., Shu, C.W.: Efficient implementation of weighted eno schemes. J. Comput. Phys. 126, 202\u2013228 (1996)","journal-title":"J. Comput. Phys."},{"key":"1407_CR12","unstructured":"Lardjane, N.: \u00c9tude th\u00e9orique et num\u00e9rique des \u00e9coulements cisaill\u00e9s libres \u00e0 masse volumique fortement variable. Ph.D. thesis, Universit\u00e9 d\u2019Orl\u00e9ans (2002). https:\/\/tel.archives-ouvertes.fr\/tel-00006483"},{"key":"1407_CR13","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1016\/0021-9991(92)90324-R","volume":"103","author":"SK Lele","year":"1992","unstructured":"Lele, S.K.: Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16\u201342 (1992)","journal-title":"J. Comput. Phys."},{"key":"1407_CR14","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1007\/s10915-016-0293-7","volume":"71","author":"Q Li","year":"2017","unstructured":"Li, Q., Guo, Q.L., Sun, D., Liu, P.X., Zhang, H.X.: A fourth-order symmetric weno scheme with improved performance by new linear and nonlinear optimizations. J. Sci. Comput. 71, 109\u2013143 (2017)","journal-title":"J. Sci. Comput."},{"issue":"085105","key":"1407_CR15","first-page":"1","volume":"17","author":"XD Li","year":"2005","unstructured":"Li, X.D., Gao, J.H.: Numerical simulation of the generation mechanism of axisymmetric supersonic jet screech tones. Phys. Fluids 17(085105), 1\u20138 (2005)","journal-title":"Phys. Fluids"},{"key":"1407_CR16","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1006\/jcph.1994.1187","volume":"115","author":"XD Liu","year":"1994","unstructured":"Liu, X.D., Osher, S., Chan, T.: Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115, 200\u2013212 (1994)","journal-title":"J. Comput. Phys."},{"key":"1407_CR17","doi-asserted-by":"crossref","unstructured":"Loh, C.Y., Hultgren, L.S., Jorgenson, P.C.E.: Near field screech noise computation for an underexpanded supersonic jet by the ce\/se method. In: AIAA-2001-2252(also NASA\/TM-2001-210958) 7th AIAA\/CEAS Aeroacoustics Conference(22th AIAA Aeroacoustics Conference), Maastricht, The Netherlands, May 28\u201330, pp. 1\u201310 (2001)","DOI":"10.2514\/6.2001-2252"},{"key":"1407_CR18","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1016\/j.jcp.2006.05.009","volume":"220","author":"MP Martin","year":"2006","unstructured":"Martin, M.P., Taylor, E.M., Wu, M., Weirs, V.G.: A bandwidth-optimized weno scheme for the effective direct numerical simulation of compressible turbulence. J. Comput. Phys. 220, 270\u2013289 (2006)","journal-title":"J. Comput. Phys."},{"key":"1407_CR19","unstructured":"Nathan, J.M., Datta, V.G.: A bandwidth and order optimized weno interpolation scheme for compressible turbulent flows. In: AIAA paper, 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. 4\u20137 January 2011, Orlando, Florida. AIAA-2011-0366, pp. 1\u201318 (2011)"},{"key":"1407_CR20","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1016\/j.jcp.2006.07.009","volume":"219","author":"S Pirozzoli","year":"2006","unstructured":"Pirozzoli, S.: On the spectral properties of shock-capturing schemes. J. Comput. Phys. 219, 489\u2013497 (2006)","journal-title":"J. Comput. Phys."},{"key":"1407_CR21","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1146\/annurev-fluid-122109-160718","volume":"43","author":"S Pirozzoli","year":"2011","unstructured":"Pirozzoli, S.: Numerical methods for high-speed flows. Annu. Rev. Fluid Mech. 43, 163\u2013194 (2011)","journal-title":"Annu. Rev. Fluid Mech."},{"key":"1407_CR22","doi-asserted-by":"publisher","first-page":"104","DOI":"10.1016\/0021-9991(92)90046-2","volume":"101","author":"TJ Poinsot","year":"1992","unstructured":"Poinsot, T.J., Lele, S.K.: Boundary conditions for direct simulation of compressible viscous flows. J. Comput. Phys. 101, 104\u2013129 (1992)","journal-title":"J. Comput. Phys."},{"key":"1407_CR23","doi-asserted-by":"publisher","first-page":"531","DOI":"10.1016\/0022-460X(92)90784-U","volume":"154","author":"MK Ponton","year":"1992","unstructured":"Ponton, M.K., Seiner, J.M.: The effects of nozzle exit lip thickness on plume resonance. J. Sound Vib. 154, 531\u2013549 (1992)","journal-title":"J. Sound Vib."},{"key":"1407_CR24","doi-asserted-by":"publisher","first-page":"953","DOI":"10.1002\/fld.564","volume":"42","author":"D Ponziani","year":"2003","unstructured":"Ponziani, D., Pirozzoli, S., Grasso, F.: Development of optimized weighted-eno schemes for multiscale compressible flows. Int. J. Numer. Methods Fluids 42, 953\u2013977 (2003)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"1407_CR25","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1121\/1.1907052","volume":"25","author":"A Powell","year":"1953","unstructured":"Powell, A.: The noise of choked jets. J. Acoust. Soc. Am. 25, 385\u2013389 (1953)","journal-title":"J. Acoust. Soc. Am."},{"key":"1407_CR26","doi-asserted-by":"publisher","first-page":"1039","DOI":"10.1088\/0370-1301\/66\/12\/306","volume":"66","author":"A Powell","year":"1953","unstructured":"Powell, A.: On the mechanism of choked jet noise. Proc. Phys. Soc. London 66, 1039\u20131056 (1953)","journal-title":"Proc. Phys. Soc. London"},{"key":"1407_CR27","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/S0376-0421(98)00002-5","volume":"34","author":"G Raman","year":"1998","unstructured":"Raman, G.: Advances in understanding supersonic jet screech: review and perspective. Prog. Aerosp. Sci. 34, 45\u2013106 (1998)","journal-title":"Prog. Aerosp. Sci."},{"issue":"3","key":"1407_CR28","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1006\/jsvi.1999.2181","volume":"225","author":"G Raman","year":"1999","unstructured":"Raman, G.: Supersonic jet screech: Half-century from powell to the present. J. Sound Vib. 225(3), 543\u2013571 (1999)","journal-title":"J. Sound Vib."},{"key":"1407_CR29","unstructured":"Shu, C.W.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. NASA\/CR-97-206253, ICASE Report No. 97-65, pp. 1\u201379 (1997)"},{"issue":"1","key":"1407_CR30","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1137\/070679065","volume":"51","author":"CW Shu","year":"2009","unstructured":"Shu, C.W.: High order weighted essentially nonoscillatory schemes for convection dominated problems. SIAM Rev. 51(1), 82\u2013126 (2009)","journal-title":"SIAM Rev."},{"key":"1407_CR31","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1146\/annurev.fl.27.010195.000313","volume":"27","author":"CKW Tam","year":"1995","unstructured":"Tam, C.K.W.: Supersonic jet noise. Annu. Rev. Fluid Mech. 27, 17\u201343 (1995)","journal-title":"Annu. Rev. Fluid Mech."},{"issue":"4","key":"1407_CR32","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1142\/S0218396X98000259","volume":"6","author":"CKW Tam","year":"1998","unstructured":"Tam, C.K.W.: Advances in numerical boundary condtions for computational aeroacoustics. J. Comput. Acoust. 6(4), 377\u2013402 (1998)","journal-title":"J. Comput. Acoust."},{"key":"1407_CR33","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1006\/jcph.1993.1142","volume":"107","author":"CKW Tam","year":"1993","unstructured":"Tam, C.K.W., Webb, J.C.: Dispersion-relation-preserving finite difference schemes for computational acoustics. J. Comput. Phys. 107, 262\u2013281 (1993)","journal-title":"J. Comput. Phys."},{"key":"1407_CR34","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0021-9991(87)90041-6","volume":"68","author":"KW Thompson","year":"1987","unstructured":"Thompson, K.W.: Time dependent boundary conditions for hyperbolic systems. J. Comput. Phys. 68, 1\u201324 (1987)","journal-title":"J. Comput. Phys."},{"key":"1407_CR35","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1016\/0021-9991(90)90152-Q","volume":"89","author":"KW Thompson","year":"1990","unstructured":"Thompson, K.W.: Time dependent boundary conditions for hyperbolic systems, ii. J. Comput. Phys. 89, 439\u2013461 (1990)","journal-title":"J. Comput. Phys."},{"key":"1407_CR36","first-page":"507","volume":"82\u201330","author":"B Van Leer","year":"1982","unstructured":"Van Leer, B.: Flux vector splitting for the euler equations. ICASE Rep. 82\u201330, 507\u2013512 (1982)","journal-title":"ICASE Rep."},{"key":"1407_CR37","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1006\/jcph.2001.6918","volume":"174","author":"ZJ Wang","year":"2001","unstructured":"Wang, Z.J., Chen, R.F.: Optimized weighted essentially non-oscillatory schemes for linear waves with discontinuity. J. Comput. Phys. 174, 381\u2013404 (2001)","journal-title":"J. Comput. Phys."},{"key":"1407_CR38","unstructured":"Weirs, V.G., Candler, G.V.: Optimization of weighted eno schemes for dns of compressible turbulence. In: AIAA paper, 13th Computational Fluid Dynamics Conference, 1997 AIAA-1997-1940, pp. 1\u201311 (1997)"},{"key":"1407_CR39","doi-asserted-by":"publisher","first-page":"4248","DOI":"10.1016\/j.jcp.2009.03.002","volume":"228","author":"NK Yamaleev","year":"2009","unstructured":"Yamaleev, N.K., Carpenter, M.H.: A systematic methodology for constructing high-order energy-stable weno schemes. J. Comput. Phys. 228, 4248\u20134272 (2009)","journal-title":"J. Comput. Phys."},{"key":"1407_CR40","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.compfluid.2014.02.017","volume":"95","author":"S Zhao","year":"2014","unstructured":"Zhao, S., Lardjane, N., Fedioun, I.: Comparison of improved finite-difference weno schemes for the implicit large eddy simulation of turbulent non-reacting and reacting high-speed shear flows. Comput. Fluids 95, 74\u201387 (2014)","journal-title":"Comput. Fluids"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01407-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-020-01407-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01407-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,29]],"date-time":"2021-03-29T13:17:42Z","timestamp":1617023862000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-020-01407-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2,17]]},"references-count":40,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,4]]}},"alternative-id":["1407"],"URL":"https:\/\/doi.org\/10.1007\/s10915-020-01407-6","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,2,17]]},"assertion":[{"value":"13 March 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 October 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 December 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 February 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"3"}}