{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,9]],"date-time":"2026-07-09T05:22:36Z","timestamp":1783574556768,"version":"3.55.0"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,10,16]],"date-time":"2021-10-16T00:00:00Z","timestamp":1634342400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,10,16]],"date-time":"2021-10-16T00:00:00Z","timestamp":1634342400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11871443"],"award-info":[{"award-number":["11871443"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11922120"],"award-info":[{"award-number":["11922120"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11801383"],"award-info":[{"award-number":["11801383"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11975053"],"award-info":[{"award-number":["11975053"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shandong Provincial Qingchuang Science and Technology Project","award":["2019KJI002"],"award-info":[{"award-number":["2019KJI002"]}]},{"name":"Multi-Year Research Grant","award":["2019-00154-FST"],"award-info":[{"award-number":["2019-00154-FST"]}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["A2020210047"],"award-info":[{"award-number":["A2020210047"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2021,12]]},"DOI":"10.1007\/s10915-021-01659-w","type":"journal-article","created":{"date-parts":[[2021,10,16]],"date-time":"2021-10-16T17:20:04Z","timestamp":1634404804000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["High Order Finite Difference Alternative WENO Scheme for Multi-component Flows"],"prefix":"10.1007","volume":"89","author":[{"given":"Yaguang","family":"Gu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhen","family":"Gao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guanghui","family":"Hu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peng","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lifeng","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,10,16]]},"reference":[{"key":"1659_CR1","doi-asserted-by":"publisher","first-page":"150","DOI":"10.1006\/jcph.1996.0085","volume":"125","author":"R Abgrall","year":"1996","unstructured":"Abgrall, R.: How to prevent pressure oscillations in multicomponent flow calculations: a quasi conservative approach. J. Comput. Phys. 125, 150\u2013160 (1996)","journal-title":"J. Comput. Phys."},{"key":"1659_CR2","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1006\/jcph.2002.7143","volume":"181","author":"G Allaire","year":"2002","unstructured":"Allaire, G., Clerc, S., Kokh, S.: A five-equation model for the simulation of interfaces between compressible fluids. J. Comput. Phys. 181, 577\u2013616 (2002)","journal-title":"J. Comput. Phys."},{"key":"1659_CR3","doi-asserted-by":"publisher","first-page":"3191","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, 3191\u20133211 (2008)","journal-title":"J. Comput. Phys."},{"key":"1659_CR4","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1007\/s10915-007-9162-8","volume":"34","author":"G Chen","year":"2008","unstructured":"Chen, G., Tang, H., Zhang, P.: Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes. J. Sci. Comput. 34, 64\u201386 (2008)","journal-title":"J. Sci. Comput."},{"key":"1659_CR5","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1007\/s10915-020-01319-5","volume":"85","author":"J Cheng","year":"2020","unstructured":"Cheng, J., Zhang, F., Liu, T.: A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows. J. Sci. Comput. 85, 66 (2020)","journal-title":"J. Sci. Comput."},{"key":"1659_CR6","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.jcp.2014.06.003","volume":"274","author":"V Coralic","year":"2014","unstructured":"Coralic, V., Colonius, T.: Finite-volume WENO scheme for viscous compressible multicomponent flows. J. Comput. Phys. 274, 95\u2013121 (2014)","journal-title":"J. Comput. Phys."},{"key":"1659_CR7","doi-asserted-by":"publisher","first-page":"945","DOI":"10.1016\/j.jcp.2018.03.036","volume":"371","author":"X Deng","year":"2018","unstructured":"Deng, X., Inaba, S., Xie, B., Shyue, K.-M., Xiao, F.: High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces. J. Comput. Phys. 371, 945\u2013966 (2018)","journal-title":"J. Comput. Phys."},{"key":"1659_CR8","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":"1659_CR9","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1007\/s10915-020-01126-y","volume":"82","author":"WS Don","year":"2020","unstructured":"Don, W.S., Li, D., Gao, Z., Wang, B.: A characteristic-wise alternative WENO-Z finite difference scheme for solving the compressible multicomponent non-reactive flows in the overestimated quasi-conservative form. J. Sci. Comput. 82, 66 (2020)","journal-title":"J. Sci. Comput."},{"key":"1659_CR10","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1016\/j.compfluid.2018.04.007","volume":"168","author":"Z He","year":"2018","unstructured":"He, Z., Li, L., Zhang, Y., Tian, B.: Consistent implementation of characteristic flux-split based finite difference method for compressible multi-material gas flows. Comput. Fluids 168, 190\u2013200 (2018)","journal-title":"Comput. Fluids"},{"key":"1659_CR11","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1016\/j.jcp.2015.07.049","volume":"300","author":"Z He","year":"2015","unstructured":"He, Z., Zhang, Y., Li, X., Li, L., Tian, B.: Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities. J. Comput. Phys. 300, 269\u2013287 (2015)","journal-title":"J. Comput. Phys."},{"key":"1659_CR12","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1006\/jcph.1996.0130","volume":"126","author":"G-S 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":"1659_CR13","doi-asserted-by":"publisher","first-page":"A1137","DOI":"10.1137\/120889885","volume":"35","author":"Y Jiang","year":"2013","unstructured":"Jiang, Y., Shu, C.-W., Zhang, M.: An alternative formulation of finite difference weighted ENO schemes with Lax\u2013Wendroff time discretization for conservation laws. SIAM J. Sci. Comput. 35, A1137\u2013A1160 (2013)","journal-title":"SIAM J. Sci. Comput."},{"key":"1659_CR14","doi-asserted-by":"publisher","first-page":"715","DOI":"10.1016\/j.jcp.2006.04.018","volume":"219","author":"E Johnsen","year":"2006","unstructured":"Johnsen, E., Colonius, T.: Implementation of WENO schemes in compressible multicomponent flow problem. J. Comput. Phys. 219, 715\u2013732 (2006)","journal-title":"J. Comput. Phys."},{"key":"1659_CR15","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1016\/S0021-9991(02)00037-2","volume":"185","author":"S-S Kim","year":"2003","unstructured":"Kim, S.-S., Kim, C., Rho, O.-H., Kyu Hong, S.: Cures for the shock instability: development of a shock-stable Roe scheme. J. Comput. Phys. 185, 342\u2013374 (2003)","journal-title":"J. Comput. Phys."},{"key":"1659_CR16","doi-asserted-by":"crossref","unstructured":"Luo, D., Qiu, J., Zhu, J., Chen, Y.: A Quasi-conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux (2020)","DOI":"10.1007\/s10915-021-01494-z"},{"key":"1659_CR17","doi-asserted-by":"publisher","first-page":"166","DOI":"10.1016\/j.jcp.2013.01.016","volume":"239","author":"P Movahed","year":"2013","unstructured":"Movahed, P., Johnsen, E.: A solution-adaptive method for efficient compressible multifluid simulations, with application to the Richtmyer\u2013Meshkov instability. J. Comput. Phys. 239, 166\u2013186 (2013)","journal-title":"J. Comput. Phys."},{"key":"1659_CR18","doi-asserted-by":"publisher","first-page":"358","DOI":"10.1016\/j.jcp.2017.02.054","volume":"340","author":"T Nonomura","year":"2017","unstructured":"Nonomura, T., Fujii, K.: Characteristic finite-difference WENO scheme for multicomponent compressible fluid analysis: overestimated quasi-conservative formulation maintaining equilibriums of velocity, pressure, and temperature. J. Comput. Phys. 340, 358\u2013388 (2017)","journal-title":"J. Comput. Phys."},{"key":"1659_CR19","doi-asserted-by":"publisher","first-page":"3181","DOI":"10.1016\/j.jcp.2011.12.035","volume":"231","author":"T Nonomura","year":"2012","unstructured":"Nonomura, T., Morizawa, S., Terashima, H., Obayashi, S., Fujii, K.: Numerical (error) issues on compressible multicomponent flows using a high-order differencing scheme: weighted compact nonlinear scheme. J. Comput. Phys. 231, 3181\u20133210 (2012)","journal-title":"J. Comput. Phys."},{"key":"1659_CR20","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1006\/jcph.2002.7191","volume":"183","author":"J Qiu","year":"2002","unstructured":"Qiu, J., Shu, C.-W.: On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. J. Comput. Phys. 183, 187\u2013209 (2002)","journal-title":"J. Comput. Phys."},{"key":"1659_CR21","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1146\/annurev-fluid-122316-050109","volume":"50","author":"R Saurel","year":"2018","unstructured":"Saurel, R., Pantano, C.: Diffuse-interface capturing methods for compressible two-phase flows. Annu. Rev. Fluid Mech. 50, 105\u2013130 (2018)","journal-title":"Annu. Rev. Fluid Mech."},{"key":"1659_CR22","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1016\/0021-9991(88)90177-5","volume":"77","author":"C-W Shu","year":"1988","unstructured":"Shu, C.-W., Osher, S.: Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77, 439\u2013471 (1988)","journal-title":"J. Comput. Phys."},{"key":"1659_CR23","doi-asserted-by":"publisher","first-page":"7411","DOI":"10.1016\/j.jcp.2010.06.025","volume":"229","author":"RK Shukla","year":"2010","unstructured":"Shukla, R.K., Pantano, C., Freund, J.B.: An interface capturing method for the simulation of multi-phase compressible flows. J. Comput. Phys. 229, 7411\u20137439 (2010)","journal-title":"J. Comput. Phys."},{"key":"1659_CR24","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1006\/jcph.1998.5930","volume":"142","author":"K-M Shyue","year":"1998","unstructured":"Shyue, K.-M.: An efficient shock-capturing algorithm for compressible multicomponent problems. J. Comput. Phys. 142, 208\u2013242 (1998)","journal-title":"J. Comput. Phys."},{"key":"1659_CR25","doi-asserted-by":"publisher","first-page":"104756","DOI":"10.1016\/j.compfluid.2020.104756","volume":"214","author":"B Tian","year":"2021","unstructured":"Tian, B., Li, L.: A five-equation model based global ale method for compressible multifluid and multiphase flows. Comput. Fluids 214, 104756 (2021)","journal-title":"Comput. Fluids"},{"key":"1659_CR26","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1016\/j.jcp.2018.07.052","volume":"374","author":"B-S Wang","year":"2018","unstructured":"Wang, B.-S., Li, P., Gao, Z., Don, W.S.: An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws. J. Comput. Phys. 374, 469\u2013477 (2018)","journal-title":"J. Comput. Phys."},{"key":"1659_CR27","doi-asserted-by":"publisher","first-page":"8823","DOI":"10.1016\/j.jcp.2010.08.012","volume":"229","author":"C Wang","year":"2010","unstructured":"Wang, C., Shu, C.-W.: An interface treating technique for compressible multi-medium flow with Runge\u2013Kutta discontinuous Galerkin method. J. Comput. Phys. 229, 8823\u20138843 (2010)","journal-title":"J. Comput. Phys."},{"key":"1659_CR28","first-page":"124610","volume":"363","author":"C Zhang","year":"2019","unstructured":"Zhang, C., Menshov, I.: Using the composite Riemann problem solution for capturing interfaces in compressible two-phase flows. Appl. Math. Comput. 363, 124610 (2019)","journal-title":"Appl. Math. Comput."},{"key":"1659_CR29","doi-asserted-by":"publisher","first-page":"104589","DOI":"10.1016\/j.compfluid.2020.104589","volume":"207","author":"X Zhao","year":"2020","unstructured":"Zhao, X., Yu, X., Qiu, M., Qing, F., Zou, S.: An arbitrary Lagrangian\u2013Eulerian RKDG method for multi-material flows on adaptive unstructured meshes. Comput. Fluids 207, 104589 (2020)","journal-title":"Comput. Fluids"},{"key":"1659_CR30","doi-asserted-by":"publisher","first-page":"110597","DOI":"10.1016\/j.jcp.2021.110597","volume":"445","author":"F Zheng","year":"2021","unstructured":"Zheng, F., Shu, C.-W., Qiu, J.: A high order conservative finite difference scheme for compressible two-medium flows. J. Comput. Phys. 445, 110597 (2021)","journal-title":"J. Comput. Phys."},{"key":"1659_CR31","doi-asserted-by":"publisher","first-page":"554","DOI":"10.1016\/j.apnum.2010.12.002","volume":"61","author":"J Zhu","year":"2011","unstructured":"Zhu, J., Qiu, J., Liu, T., Khoo, B.C.: RKDG methods with WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations. Appl. Numer. Math. 61, 554\u2013580 (2011)","journal-title":"Appl. Numer. Math."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01659-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-021-01659-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01659-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,23]],"date-time":"2021-11-23T07:18:58Z","timestamp":1637651938000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-021-01659-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,16]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,12]]}},"alternative-id":["1659"],"URL":"https:\/\/doi.org\/10.1007\/s10915-021-01659-w","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,16]]},"assertion":[{"value":"22 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 September 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 September 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 October 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"All authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"The custom codes generated during the current study are available from the corresponding author on reasonable request.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Code Availability"}}],"article-number":"52"}}