{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,21]],"date-time":"2026-05-21T03:37:17Z","timestamp":1779334637775,"version":"3.51.4"},"reference-count":57,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,5,11]],"date-time":"2021-05-11T00:00:00Z","timestamp":1620691200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,5,11]],"date-time":"2021-05-11T00:00:00Z","timestamp":1620691200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100013287","name":"Science Challenge Project","doi-asserted-by":"publisher","award":["TZ2016002"],"award-info":[{"award-number":["TZ2016002"]}],"id":[{"id":"10.13039\/501100013287","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013287","name":"Science Challenge Project","doi-asserted-by":"publisher","award":["TZ2016002"],"award-info":[{"award-number":["TZ2016002"]}],"id":[{"id":"10.13039\/501100013287","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010906","name":"NSAF Joint Fund","doi-asserted-by":"publisher","award":["U1630247"],"award-info":[{"award-number":["U1630247"]}],"id":[{"id":"10.13039\/501100010906","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010906","name":"NSAF Joint Fund","doi-asserted-by":"publisher","award":["U1630247"],"award-info":[{"award-number":["U1630247"]}],"id":[{"id":"10.13039\/501100010906","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11671050"],"award-info":[{"award-number":["11671050"]}],"id":[{"id":"10.13039\/501100001809","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":[[2021,6]]},"DOI":"10.1007\/s10915-021-01494-z","type":"journal-article","created":{"date-parts":[[2021,5,11]],"date-time":"2021-05-11T08:03:20Z","timestamp":1620720200000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["A Quasi-Conservative Discontinuous Galerkin Method for Multi-component Flows Using the Non-oscillatory Kinetic Flux"],"prefix":"10.1007","volume":"87","author":[{"given":"Dongmi","family":"Luo","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianxian","family":"Qiu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yibing","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,5,11]]},"reference":[{"key":"1494_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":"1494_CR2","doi-asserted-by":"publisher","first-page":"594","DOI":"10.1006\/jcph.2000.6685","volume":"169","author":"R Abgrall","year":"2001","unstructured":"Abgrall, R., Karni, S.: Computations of compressible multifluids. J. Comput. Phys. 169, 594\u2013623 (2001)","journal-title":"J. Comput. Phys."},{"key":"1494_CR3","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":"1494_CR4","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/0021-9991(86)90101-4","volume":"62","author":"IL Chen","year":"1986","unstructured":"Chen, I.L., Glimm, J.: Front tracking for gas dynamics. J. Comput. Phys. 62, 83\u2013110 (1986)","journal-title":"J. Comput. Phys."},{"key":"1494_CR5","doi-asserted-by":"publisher","first-page":"661","DOI":"10.4208\/jcm.1109-m11si04","volume":"29","author":"Y Chen","year":"2011","unstructured":"Chen, Y., Jiang, S.: A non-oscillatory kinetic scheme for multi-component flows with the equation of state for a stiffened gas. J. Comput. Math. 29, 661\u2013683 (2011)","journal-title":"J. Comput. Math."},{"key":"1494_CR6","doi-asserted-by":"publisher","first-page":"3582","DOI":"10.1016\/j.jcp.2009.01.035","volume":"228","author":"Y Chen","year":"2009","unstructured":"Chen, Y., Jiang, S.: Modified kinetic flux vector splitting schemes for compressible flows. J. Comput. Phys. 228, 3582\u20133604 (2009)","journal-title":"J. Comput. Phys."},{"key":"1494_CR7","doi-asserted-by":"publisher","first-page":"109059","DOI":"10.1016\/j.jcp.2019.109059","volume":"403","author":"J Cheng","year":"2020","unstructured":"Cheng, J., Zhang, F., Liu, T.G.: A discontinuous Galerkin method for the simulation of compressible gas\u2013gas and gas\u2013water two-medium flows. J. Comput. Phys. 403, 109059 (2020)","journal-title":"J. Comput. Phys."},{"key":"1494_CR8","first-page":"545","volume":"54","author":"B Cockburn","year":"1990","unstructured":"Cockburn, B., Hou, S., Shu, C.-W.: The Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case. Math. Comput. 54, 545\u2013581 (1990)","journal-title":"Math. Comput."},{"key":"1494_CR9","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1016\/0021-9991(89)90183-6","volume":"84","author":"B Cockburn","year":"1989","unstructured":"Cockburn, B., Lin, S.-Y., Shu, C.-W.: TVB Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems. J. Comput. Phys. 84, 90\u2013113 (1989)","journal-title":"J. Comput. Phys."},{"key":"1494_CR10","first-page":"411","volume":"52","author":"B Cockburn","year":"1989","unstructured":"Cockburn, B., Shu, C.-W.: TVB Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Math. Comput. 52, 411\u2013435 (1989)","journal-title":"Math. Comput."},{"key":"1494_CR11","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1006\/jcph.1998.5892","volume":"141","author":"B Cockburn","year":"1998","unstructured":"Cockburn, B., Shu, C.-W.: The Runge\u2013Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems. J. Comput. Phys. 141, 199\u2013224 (1998)","journal-title":"J. Comput. Phys."},{"key":"1494_CR12","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":"1494_CR13","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1006\/jcph.1999.6236","volume":"152","author":"RP Fedkiw","year":"1999","unstructured":"Fedkiw, R.P., Aslam, T., Merriman, B., Osher, S.: A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 152, 457\u2013492 (1999)","journal-title":"J. Comput. Phys."},{"key":"1494_CR14","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1016\/j.compfluid.2012.02.021","volume":"65","author":"E Franquet","year":"2012","unstructured":"Franquet, E., Perrier, V.: Runge\u2013Kutta discontinuous Galerkin method for interface flows with a maximum preserving limiter. Comput. Fluids 65, 2\u20137 (2012)","journal-title":"Comput. Fluids"},{"key":"1494_CR15","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/j.cma.2012.08.021","volume":"253","author":"L Gryngarten","year":"2013","unstructured":"Gryngarten, L., Menon, S.: A generalized approach for sub- and super-critical flows using the local discontinuous Galerkin method. Comput. Methods Appl. Mech. Eng. 253, 169\u2013185 (2013)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"1494_CR16","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1016\/j.jcp.2014.09.030","volume":"280","author":"MT Henry de Frahan","year":"2015","unstructured":"Henry de Frahan, M.T., Varadan, S., Johnsen, E.: A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces. J. Comput. Phys. 280, 489\u2013509 (2015)","journal-title":"J. Comput. Phys."},{"key":"1494_CR17","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 problems. J. Comput. Phys. 219, 715\u2013732 (2006)","journal-title":"J. Comput. Phys."},{"key":"1494_CR18","doi-asserted-by":"publisher","first-page":"6220","DOI":"10.1016\/j.jcp.2010.04.025","volume":"229","author":"JJ Kreeft","year":"2010","unstructured":"Kreeft, J.J., Koren, B.: A new formulation of Kapila\u2019s five-equation model for compressible two-fluid flow, and its numerical treatment. J. Comput. Phys. 229, 6220\u20136242 (2010)","journal-title":"J. Comput. Phys."},{"key":"1494_CR19","doi-asserted-by":"publisher","first-page":"879","DOI":"10.1016\/j.jcp.2007.05.011","volume":"226","author":"L Krivodonova","year":"2007","unstructured":"Krivodonova, L.: Limiters for high-order discontinuous Galerkin methods. J. Comput. Phys. 226, 879\u2013896 (2007)","journal-title":"J. Comput. Phys."},{"key":"1494_CR20","doi-asserted-by":"publisher","first-page":"1137","DOI":"10.4208\/cicp.2009.v6.p1137","volume":"6","author":"TS Lee","year":"2009","unstructured":"Lee, T.S., Zheng, T.S., Winoto, S.H.: An interface-capturing method for resolving compressible two-fluid flows with general equation of state. Commun. Comput. Phys. 6, 1137\u20131162 (2009)","journal-title":"Commun. Comput. Phys."},{"key":"1494_CR21","doi-asserted-by":"publisher","first-page":"416","DOI":"10.4208\/cicp.OA-2017-0201","volume":"25","author":"Q Li","year":"2019","unstructured":"Li, Q.: A gas-kinetic Riemann solver for stiffened gas interface and its application in multimaterial flows. Commun. Comput. Phys. 25, 416\u2013447 (2019)","journal-title":"Commun. Comput. Phys."},{"key":"1494_CR22","doi-asserted-by":"publisher","first-page":"145","DOI":"10.4208\/cicp.OA-2018-0297","volume":"27","author":"Q Li","year":"2020","unstructured":"Li, Q.: An improved gas-kinetic scheme for multimaterial flows. Commun. Comput. Phys. 27, 145\u2013166 (2020)","journal-title":"Commun. Comput. Phys."},{"key":"1494_CR23","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1006\/jcph.2000.6571","volume":"163","author":"YS Lian","year":"2000","unstructured":"Lian, Y.S., Xu, K.: A gas-kinetic scheme for multimaterial flows and its application in chemical reactions. J. Comput. Phys. 163, 349\u2013375 (2000)","journal-title":"J. Comput. Phys."},{"key":"1494_CR24","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1016\/j.jcp.2006.11.014","volume":"224","author":"H Liu","year":"2007","unstructured":"Liu, H., Xu, K.: A Runge\u2013Kutta discontinuous Galerkin method for viscous flow equations. J. Comput. Phys. 224, 1223\u20131242 (2007)","journal-title":"J. Comput. Phys."},{"key":"1494_CR25","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.compfluid.2017.04.014","volume":"152","author":"N Liu","year":"2017","unstructured":"Liu, N., Xu, X., Chen, Y.: High-order spectral volume scheme for multi-component flows using non-oscillatory kinetic flux. Comput. Fluids 152, 120\u2013133 (2017)","journal-title":"Comput. Fluids"},{"key":"1494_CR26","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.jcp.2004.10.012","volume":"204","author":"TG Liu","year":"2005","unstructured":"Liu, T.G., Khoo, B.C., Wang, C.W.: The ghost fluid method for compressible gas\u2013water simulation. J. Comput. Phys. 204, 193\u2013221 (2005)","journal-title":"J. Comput. Phys."},{"key":"1494_CR27","doi-asserted-by":"publisher","first-page":"651","DOI":"10.1016\/S0021-9991(03)00301-2","volume":"190","author":"TG Liu","year":"2003","unstructured":"Liu, T.G., Khoo, B.C., Yeo, K.S.: Ghost fluid method for strong shock impacting on material interface. J. Comput. Phys. 190, 651\u2013681 (2003)","journal-title":"J. Comput. Phys."},{"key":"1494_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.compfluid.2015.11.015","volume":"126","author":"H Lu","year":"2016","unstructured":"Lu, H., Zhu, J., Wang, D.H., Zhao, N.: Runge\u2013Kutta discontinuous Galerkin method with front tracking method for solving the compressible two-medium flow. Comput. Fluids 126, 1\u201311 (2016)","journal-title":"Comput. Fluids"},{"key":"1494_CR29","doi-asserted-by":"publisher","first-page":"544","DOI":"10.1016\/j.jcp.2019.06.061","volume":"396","author":"D Luo","year":"2019","unstructured":"Luo, D., Huang, W., Qiu, J.X.: A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws. J. Comput. Phys. 396, 544\u2013578 (2019)","journal-title":"J. Comput. Phys."},{"key":"1494_CR30","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1006\/jcph.1996.0200","volume":"128","author":"G Miller","year":"1996","unstructured":"Miller, G., Puckett, E.G.: A high-order Godunov method for multiple condensed phases. J. Comput. Phys. 128, 134\u2013164 (1996)","journal-title":"J. Comput. Phys."},{"key":"1494_CR31","doi-asserted-by":"publisher","first-page":"760","DOI":"10.1002\/fld.2283","volume":"66","author":"G Ni","year":"2011","unstructured":"Ni, G., Sun, W.: A $$\\gamma $$-DGBGK scheme for compressible multi-fluids. Int. J. Numer. Meth. Fluids 66, 760\u2013777 (2011)","journal-title":"Int. J. Numer. Meth. Fluids"},{"key":"1494_CR32","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":"1494_CR33","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","volume":"79","author":"S Osher","year":"1988","unstructured":"Osher, S., Sethian, A.: Fronts prohabiliting with curvature-dependent speed: algorithms based on Hamilton\u2013Jacobi formulation. J. Comput. Phys. 79, 12\u201349 (1988)","journal-title":"J. Comput. Phys."},{"key":"1494_CR34","doi-asserted-by":"publisher","first-page":"1123","DOI":"10.4208\/cicp.OA-2017-0023","volume":"22","author":"L Pan","year":"2017","unstructured":"Pan, L., Cheng, J., Wang, S., Xu, K.: A two-stage fourth-order gas-kinetic scheme for compressible multicomponent flows. Commun. Comput. Phys. 22, 1123\u20131149 (2017)","journal-title":"Commun. Comput. Phys."},{"key":"1494_CR35","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1016\/j.jcp.2006.07.023","volume":"222","author":"JX Qiu","year":"2007","unstructured":"Qiu, J.X., Liu, T.G., Khoo, B.C.: Runge\u2013Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: one-dimensional case. J. Comput. Phys. 222, 353\u2013373 (2007)","journal-title":"J. Comput. Phys."},{"key":"1494_CR36","first-page":"479","volume":"3","author":"JX Qiu","year":"2008","unstructured":"Qiu, J.X., Liu, T.G., Khoo, B.C.: Simulations of compressible two-medium flow by Runge\u2013Kutta discontinuous Galerkin methods with the ghost fluid method. Commun. Comput. Phys. 3, 479\u2013504 (2008)","journal-title":"Commun. Comput. Phys."},{"key":"1494_CR37","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.jcp.2003.07.026","volume":"193","author":"JX Qiu","year":"2003","unstructured":"Qiu, J.X., Shu, C.-W.: Hermite WENO schemes and their application as limiters for Runge\u2013Kutta discontinous Galerkin method: one dimensional case. J. Comput. Phys. 193, 115\u2013135 (2003)","journal-title":"J. Comput. Phys."},{"key":"1494_CR38","doi-asserted-by":"publisher","first-page":"907","DOI":"10.1137\/S1064827503425298","volume":"26","author":"JX Qiu","year":"2005","unstructured":"Qiu, J.X., Shu, C.-W.: Runge\u2013Kutta discontinuous Galerkin method using WENO limiters. SIAM J. Sci. Comput. 26, 907\u2013929 (2005)","journal-title":"SIAM J. Sci. Comput."},{"key":"1494_CR39","doi-asserted-by":"publisher","first-page":"2648","DOI":"10.1016\/j.camwa.2018.09.002","volume":"76","author":"A Rehman","year":"2018","unstructured":"Rehman, A., Qamar, S.: High order finite-volume WENO scheme for five-equation model of compressible two-fluid flow. Comput. Math. Appl. 76, 2648\u20132664 (2018)","journal-title":"Comput. Math. Appl."},{"key":"1494_CR40","first-page":"379","volume":"8","author":"MR Saleem","year":"2018","unstructured":"Saleem, M.R., Ali, I., Qamar, S.: Application of discontinuous Galerkin method for solving a compressible five-equation two-phase flow model. Res. Phys. 8, 379\u2013390 (2018)","journal-title":"Res. Phys."},{"key":"1494_CR41","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1006\/jcph.1999.6187","volume":"150","author":"R Saurel","year":"1999","unstructured":"Saurel, R., Abgrall, R.: A multiphase Godunov method for compressible multifluid and multiphase flows. J. Comput. Phys. 150, 425\u2013467 (1999)","journal-title":"J. Comput. Phys."},{"key":"1494_CR42","doi-asserted-by":"publisher","first-page":"1678","DOI":"10.1016\/j.jcp.2008.11.002","volume":"228","author":"R Saurel","year":"2009","unstructured":"Saurel, R., Petitpas, F., Berry, R.A.: Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures. J. Comput. Phys. 228, 1678\u20131712 (2009)","journal-title":"J. Comput. Phys."},{"key":"1494_CR43","doi-asserted-by":"publisher","first-page":"1073","DOI":"10.1137\/0909073","volume":"9","author":"C-W Shu","year":"1988","unstructured":"Shu, C.-W.: Total-variation-diminishing time discretizations. SIAM J. Sci. Stat. Comput. 9, 1073\u20131084 (1988)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"1494_CR44","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1006\/jcph.1998.5930","volume":"142","author":"KM 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":"1494_CR45","doi-asserted-by":"publisher","first-page":"678","DOI":"10.1006\/jcph.2001.6801","volume":"171","author":"KM Shyue","year":"2001","unstructured":"Shyue, K.M.: A fluid-mixture type algorithm for compressible multicomponent flow with Mie-Gr\u00fcneisen equation of state. J. Comput. Phys. 171, 678\u2013707 (2001)","journal-title":"J. Comput. Phys."},{"key":"1494_CR46","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1006\/jcph.1999.6349","volume":"156","author":"KM Shyue","year":"1999","unstructured":"Shyue, K.M.: A fluid-mixture type algorithm for compressible multicomponent flow with Van der Waals equation of state. J. Comput. Phys. 156, 43\u201388 (1999)","journal-title":"J. Comput. Phys."},{"key":"1494_CR47","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/j.jcp.2005.10.030","volume":"215","author":"KM Shyue","year":"2006","unstructured":"Shyue, K.M.: A wave-propagation based volume tracking method for compressible multicomponent flow in two space dimensions. J. Comput. Phys. 215, 219\u2013244 (2006)","journal-title":"J. Comput. Phys."},{"key":"1494_CR48","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1137\/030601363","volume":"28","author":"CW Wang","year":"2006","unstructured":"Wang, C.W., Liu, T.G., Shu, C.-W.: A real ghost fluid method for the simulation of multimedium compressible flow. SIAM J. Sci. Comput. 28, 278\u2013302 (2006)","journal-title":"SIAM J. Sci. Comput."},{"key":"1494_CR49","doi-asserted-by":"publisher","first-page":"8823","DOI":"10.1016\/j.jcp.2010.08.012","volume":"229","author":"CW Wang","year":"2010","unstructured":"Wang, C.W., 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":"1494_CR50","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1006\/jcph.2000.6663","volume":"166","author":"K Xu","year":"2001","unstructured":"Xu, K.: A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow. J. Comput. Phys. 166, 383\u2013399 (2001)","journal-title":"J. Comput. Phys."},{"key":"1494_CR51","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1006\/jcph.1997.5677","volume":"134","author":"K Xu","year":"1997","unstructured":"Xu, K.: BGK-based scheme for multicomponent flow calculations. J. Comput. Phys. 134, 122\u2013133 (1997)","journal-title":"J. Comput. Phys."},{"key":"1494_CR52","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1016\/j.jcp.2010.09.022","volume":"230","author":"J Yan","year":"2011","unstructured":"Yan, J., Osher, S.: A local discontinuous Galerkin method for directly solving Hamilton\u2013Jacobi equations. J. Comput. Phys. 230, 232\u2013244 (2011)","journal-title":"J. Comput. Phys."},{"key":"1494_CR53","doi-asserted-by":"publisher","first-page":"2752","DOI":"10.1098\/rspa.2011.0153","volume":"467","author":"XX Zhang","year":"2011","unstructured":"Zhang, X.X., Shu, C.-W.: Maximum-principle-satisfying and positivity-preserving high order schemes for scalar conservation laws: survey and new developments. Proc. R. Soc. A 467, 2752\u20132776 (2011)","journal-title":"Proc. R. Soc. A"},{"key":"1494_CR54","doi-asserted-by":"publisher","first-page":"3091","DOI":"10.1016\/j.jcp.2009.12.030","volume":"229","author":"XX Zhang","year":"2010","unstructured":"Zhang, X.X., Shu, C.-W.: On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys. 229, 3091\u20133120 (2010)","journal-title":"J. Comput. Phys."},{"key":"1494_CR55","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.X., Liu, T.G., Khoo, B.C.: High-order 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."},{"key":"1494_CR56","doi-asserted-by":"publisher","first-page":"109105","DOI":"10.1016\/j.jcp.2019.109105","volume":"404","author":"J Zhu","year":"2020","unstructured":"Zhu, J., Qiu, J.X., Shu, C.-W.: High-order Runge\u2013Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. J. Comput. Phys. 404, 109105 (2020)","journal-title":"J. Comput. Phys."},{"key":"1494_CR57","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1016\/j.apnum.2020.03.013","volume":"153","author":"J Zhu","year":"2020","unstructured":"Zhu, J., Shu, C.-W., Qiu, J.X.: High-order Runge\u2013Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes. Appl. Numer. Math. 153, 519\u2013539 (2020)","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\/s10915-021-01494-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-021-01494-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01494-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,2]],"date-time":"2023-02-02T00:10:22Z","timestamp":1675296622000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-021-01494-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,11]]},"references-count":57,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["1494"],"URL":"https:\/\/doi.org\/10.1007\/s10915-021-01494-z","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,11]]},"assertion":[{"value":"12 July 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 October 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 April 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 May 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"96"}}