{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T19:53:47Z","timestamp":1757620427727,"version":"3.44.0"},"reference-count":73,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T00:00:00Z","timestamp":1753747200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T00:00:00Z","timestamp":1753747200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12301505","12171226","W2431004","12301530"],"award-info":[{"award-number":["12301505","12171226","W2431004","12301530"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["ZR2022MA012"],"award-info":[{"award-number":["ZR2022MA012"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science and Technology Projects in Guangzhou","award":["SL2023A04J00672"],"award-info":[{"award-number":["SL2023A04J00672"]}]},{"name":"startup funding of Ocean University of China","award":["N.A."],"award-info":[{"award-number":["N.A."]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2025,9]]},"DOI":"10.1007\/s10915-025-03003-y","type":"journal-article","created":{"date-parts":[[2025,7,29]],"date-time":"2025-07-29T00:52:26Z","timestamp":1753750346000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Bound- and Positivity-Preserving Path-Conservative Central-Upwind AWENO Scheme for the Five-Equation Model of Compressible Two-Component Flows"],"prefix":"10.1007","volume":"104","author":[{"given":"Qingcheng","family":"Fu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8509-7718","authenticated-orcid":false,"given":"Yaguang","family":"Gu","sequence":"additional","affiliation":[]},{"given":"Alexander","family":"Kurganov","sequence":"additional","affiliation":[]},{"given":"Bao-Shan","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,7,29]]},"reference":[{"key":"3003_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."},{"unstructured":"Abgrall, R.,\u00a0Jiao, M.,\u00a0Liu, Y.,\u00a0Wu, K.: Bound preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme: one-dimensional case, Commun. Comput. Phys. To appear","key":"3003_CR2"},{"key":"3003_CR3","doi-asserted-by":"publisher","first-page":"594","DOI":"10.1006\/jcph.2000.6685","volume":"2","author":"R Abgrall","year":"2001","unstructured":"Abgrall, R., Karni, S.: Computations of compressible multifluid. J. Comput. Phys. 2, 594\u2013623 (2001)","journal-title":"J. Comput. Phys."},{"key":"3003_CR4","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":"3003_CR5","doi-asserted-by":"publisher","first-page":"861","DOI":"10.1016\/0301-9322(86)90033-9","volume":"12","author":"M Baer","year":"1986","unstructured":"Baer, M., Nunziato, J.: A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials. Int. J. Multiphase Flow 12, 861\u2013889 (1986)","journal-title":"Int. J. Multiphase Flow"},{"key":"3003_CR6","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."},{"doi-asserted-by":"crossref","unstructured":"Castro, M.J.,\u00a0Morales\u00a0de Luna, T.,\u00a0Par\u00e9s, C.: Well-balanced schemes and path-conservative numerical methods, in Handbook of numerical methods for hyperbolic problems, vol.\u00a018 of Handb. Numer. Anal., Elsevier\/North-Holland, Amsterdam, pp.\u00a0131\u2013175 (2017)","key":"3003_CR7","DOI":"10.1016\/bs.hna.2016.10.002"},{"issue":"2","key":"3003_CR8","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1007\/s10915-020-01149-5","volume":"82","author":"MJ Castro","year":"2020","unstructured":"Castro, M.J., Par\u00e9s, C.: Well-balanced high-order finite volume methods for systems of balance laws. J. Sci. Comput. 82(2), 48 (2020)","journal-title":"J. Sci. Comput."},{"key":"3003_CR9","doi-asserted-by":"publisher","first-page":"959","DOI":"10.1051\/m2an\/2018077","volume":"53","author":"MJ Castro D\u00edaz","year":"2019","unstructured":"Castro D\u00edaz, M.J., Kurganov, A., Morales de Luna, T.: Path-conservative central-upwind schemes for nonconservative hyperbolic systems, ESAIM: Math. Model. Numer. Anal. 53, 959\u2013985 (2019)","journal-title":"Model. Numer. Anal."},{"key":"3003_CR10","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/j.jcp.2013.09.047","volume":"257","author":"J Cheng","year":"2014","unstructured":"Cheng, J., Shu, C.-W.: Positivity-preserving Lagrangian scheme for multi-material compressible flow. J. Comput. Phys. 257, 143\u2013168 (2014)","journal-title":"J. Comput. Phys."},{"key":"3003_CR11","doi-asserted-by":"publisher","first-page":"B1195","DOI":"10.1137\/21M1444497","volume":"44","author":"J Cheng","year":"2022","unstructured":"Cheng, J., Zhang, F.: A bound-preserving and positivity-preserving path-conservative discontinuous Galerkin method for solving five-equation model of compressible two-medium flows. SIAM J. Sci. Comput. 44, B1195\u2013B1220 (2022)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"3003_CR12","doi-asserted-by":"publisher","first-page":"12","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(1), 12 (2020)","journal-title":"J. Sci. Comput."},{"key":"3003_CR13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111718","volume":"473","author":"A Chertock","year":"2023","unstructured":"Chertock, A., Chu, S., Herty, M., Kurganov, A., Luk\u00e1\u010dov\u00e1-Medvid\u2019ov\u00e1, M.: Local characteristic decomposition based central-upwind scheme. J. Comput. Phys. 473, 111718 (2023)","journal-title":"J. Comput. Phys."},{"key":"3003_CR14","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1016\/j.jcp.2014.10.029","volume":"281","author":"AJ Christlieb","year":"2015","unstructured":"Christlieb, A.J., Liu, Y., Tang, Q., Xu, Z.: High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. J. Comput. Phys. 281, 334\u2013351 (2015)","journal-title":"J. Comput. Phys."},{"key":"3003_CR15","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2024.113692","volume":"524","author":"S Chu","year":"2025","unstructured":"Chu, S., Herty, M., Kurganov, A.: Novel local characteristic decomposition based path-conservative central-upwind schemes. J. Comput. Phys. 524, 113692 (2025)","journal-title":"J. Comput. Phys."},{"key":"3003_CR16","doi-asserted-by":"publisher","first-page":"692","DOI":"10.4208\/cicp.OA-2022-0263","volume":"33","author":"S Chu","year":"2023","unstructured":"Chu, S., Kurganov, A., Mohammadian, S., Zheng, Z.: Fifth-order A-WENO path-conservative central-upwind scheme for behavioral non-equilibrium traffic models, Commun. Comput. Phys. 33, 692\u2013732 (2023)","journal-title":"Comput. Phys."},{"key":"3003_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111508","volume":"469","author":"S Chu","year":"2022","unstructured":"Chu, S., Kurganov, A., Na, M.: Fifth-order A-WENO schemes based on the path-conservative central-upwind method. J. Comput. Phys. 469, 111508 (2022)","journal-title":"J. Comput. Phys."},{"key":"3003_CR18","first-page":"87","volume":"2","author":"S Chu","year":"2025","unstructured":"Chu, S., Kurganov, A., Xin, R.: A well-balanced fifth-order A-WENO scheme based on flux globalization, Beijing J. of Pure and Appl. Math. 2, 87\u2013113 (2025)","journal-title":"Math."},{"key":"3003_CR19","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":"3003_CR20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111882","volume":"476","author":"S Cui","year":"2023","unstructured":"Cui, S., Ding, S., Wu, K.: Is the classic convex decomposition optimal for bound-preserving schemes in multiple dimensions? J. Comput. Phys. 476, 111882 (2023)","journal-title":"J. Comput. Phys."},{"key":"3003_CR21","first-page":"483","volume":"74","author":"G Dal Maso","year":"1995","unstructured":"Dal Maso, G., Lefloch, P., Murat, F.: Definition and weak stability of nonconservative products. J. Math. Pures Appl. 74, 483\u2013548 (1995)","journal-title":"J. Math. Pures Appl."},{"key":"3003_CR22","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1007\/s10915-020-01126-y","volume":"82","author":"WS Don","year":"2020","unstructured":"Don, W.S., Li, D., Gao, Z., Wang, B.-S.: 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, 27 (2020)","journal-title":"J. Sci. Comput."},{"doi-asserted-by":"crossref","unstructured":"Don, W.S., Li, R., Wang, B.-S., Wang, Y.: A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws. J. Comput. Phys. 448, 110724 (2022)","key":"3003_CR23","DOI":"10.1016\/j.jcp.2021.110724"},{"doi-asserted-by":"crossref","unstructured":"Duan, J., Barsukow, W., Klingenberg, C.: Active flux methods for hyperbolic conservation laws-flux vector splitting and boundpreservation. SIAM J. Sci. Comput. 47, A811\u2013A837 (2025)","key":"3003_CR24","DOI":"10.1137\/24M1658887"},{"key":"3003_CR25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111446","volume":"467","author":"C Fan","year":"2022","unstructured":"Fan, C., Zhang, X., Qiu, J.: Positivity-preserving high order finite difference WENO schemes for compressible Navier-Stokes equations. J. Comput. Phys. 467, 111446 (2022)","journal-title":"J. Comput. Phys."},{"key":"3003_CR26","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.apnum.2022.05.005","volume":"180","author":"Q Fu","year":"2022","unstructured":"Fu, Q., Gao, Z., Gu, Y., Li, P.: High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields. Appl. Numer. Math. 180, 1\u201315 (2022)","journal-title":"Appl. Numer. Math."},{"doi-asserted-by":"crossref","unstructured":"Gottlieb, S.,\u00a0Ketcheson, D., Shu, C.-W.: Strong stability preserving Runge-Kutta and multistep time discretizations, World Scientific, (2011)","key":"3003_CR27","DOI":"10.1142\/7498"},{"key":"3003_CR28","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1137\/S003614450036757X","volume":"43","author":"S Gottlieb","year":"2001","unstructured":"Gottlieb, S., Shu, C.-W., Tadmor, E.: Strong stability-preserving high-order time discretization methods. SIAM Rev. 43, 89\u2013112 (2001)","journal-title":"SIAM Rev."},{"key":"3003_CR29","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1007\/s10915-021-01659-w","volume":"89","author":"Y Gu","year":"2021","unstructured":"Gu, Y., Gao, Z., Hu, G., Li, P., Wang, L.: High order finite difference alternative WENO scheme for multi-component flows. J. Sci. Comput. 89, 52 (2021)","journal-title":"J. Sci. Comput."},{"key":"3003_CR30","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1007\/s10915-021-01529-5","volume":"88","author":"Y Gu","year":"2021","unstructured":"Gu, Y., Gao, Z., Hu, G., Li, P., Wang, L.: A robust high order alternative WENO scheme for the five-equation model. J. Sci. Comput. 88, 12 (2021)","journal-title":"J. Sci. Comput."},{"key":"3003_CR31","doi-asserted-by":"publisher","first-page":"189","DOI":"10.4208\/cicp.OA-2021-0169","volume":"32","author":"Y Gu","year":"2022","unstructured":"Gu, Y., Luo, D., Gao, Z., Chen, Y.: An adaptive moving mesh method for the five-equation model, Commun. Comput. Phys. 32, 189\u2013221 (2022)","journal-title":"Comput. Phys."},{"key":"3003_CR32","doi-asserted-by":"publisher","first-page":"A3211","DOI":"10.1137\/17M1149961","volume":"40","author":"J-L Guermond","year":"2018","unstructured":"Guermond, J.-L., Nazarov, M., Popov, B., Tomas, I.: Second-order invariant domain preserving approximation of the Euler equations using convex limiting. SIAM J. Sci. Comput. 40, A3211\u2013A3239 (2018)","journal-title":"SIAM J. Sci. Comput."},{"key":"3003_CR33","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/j.jcp.2016.12.035","volume":"333","author":"Z He","year":"2017","unstructured":"He, Z., Tian, B., Zhang, Y., Gao, F.: Characteristic-based and interface-sharpening algorithm for high-order simulations of immiscible compressible multi-material flows. J. Comput. Phys. 333, 247\u2013268 (2017)","journal-title":"J. Comput. Phys."},{"key":"3003_CR34","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/j.jcp.2013.01.024","volume":"242","author":"XY Hu","year":"2013","unstructured":"Hu, X.Y., Adams, N.A., Shu, C.-W.: Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. J. Comput. Phys. 242, 169\u2013180 (2013)","journal-title":"J. Comput. Phys."},{"key":"3003_CR35","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2023.112115","volume":"486","author":"L Huang","year":"2023","unstructured":"Huang, L., Jiang, Z., Qin, X., Zhang, X., Yan, C.: High-order positivity-preserving method in the flux reconstruction framework for the simulation of two-medium flow. J. Comput. Phys. 486, 112115 (2023)","journal-title":"J. Comput. Phys."},{"key":"3003_CR36","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-Wendroff time discretization for conservation laws. SIAM J. Sci. Comput. 35, A1137\u2013A1160 (2013)","journal-title":"SIAM J. Sci. Comput."},{"key":"3003_CR37","doi-asserted-by":"publisher","first-page":"3002","DOI":"10.1063\/1.1398042","volume":"13","author":"AK Kapila","year":"2001","unstructured":"Kapila, A.K., Menikoff, R., Bdzil, J.B., Son, S.F., Stewart, D.S.: Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations. Phys. Fluids 13, 3002\u20133024 (2001)","journal-title":"Phys. Fluids"},{"key":"3003_CR38","first-page":"141","volume":"2","author":"A Kurganov","year":"2007","unstructured":"Kurganov, A., Lin, C.-T.: On the reduction of numerical dissipation in central-upwind schemes, Commun. Comput. Phys. 2, 141\u2013163 (2007)","journal-title":"Comput. Phys."},{"key":"3003_CR39","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111773","volume":"474","author":"A Kurganov","year":"2023","unstructured":"Kurganov, A., Liu, Y., Xin, R.: Well-balanced path-conservative central-upwind schemes based on flux globalization. J. Comput. Phys. 474, 111773 (2023)","journal-title":"J. Comput. Phys."},{"key":"3003_CR40","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1137\/S1064827500373413","volume":"23","author":"A Kurganov","year":"2001","unstructured":"Kurganov, A., Noelle, S., Petrova, G.: Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. SIAM J. Sci. Comput. 23, 707\u2013740 (2001)","journal-title":"SIAM J. Sci. Comput."},{"key":"3003_CR41","doi-asserted-by":"publisher","first-page":"584","DOI":"10.1002\/num.10025","volume":"18","author":"A Kurganov","year":"2002","unstructured":"Kurganov, A., Tadmor, E.: Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Numer. Methods Partial Differ. Equations 18, 584\u2013608 (2002)","journal-title":"Numer. Methods Partial Differ. Equations"},{"key":"3003_CR42","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1007\/s10915-023-02281-8","volume":"96","author":"A Kurganov","year":"2023","unstructured":"Kurganov, A., Xin, R.: New low-dissipation central-upwind schemes. J. Sci. Comput. 96, 56 (2023)","journal-title":"J. Sci. Comput."},{"key":"3003_CR43","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2019.112804","volume":"361","author":"D Kuzmin","year":"2020","unstructured":"Kuzmin, D.: Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws. Comput. Methods Appl. Mech. Engrg. 361, 112804 (2020)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"3003_CR44","volume-title":"Property-preserving numerical schemes for conservation laws, World Scientific Publishing Co","author":"D Kuzmin","year":"2024","unstructured":"Kuzmin, D., Hajduk, H.: Property-preserving numerical schemes for conservation laws, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ (2024)"},{"key":"3003_CR45","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/s10915-022-02065-6","volume":"94","author":"P Li","year":"2023","unstructured":"Li, P., Li, T.T., Don, W.S., Wang, B.-S.: Scale-invariant multi-resolution alternative WENO scheme for the Euler equations. J. Sci. Comput. 94, 15 (2023)","journal-title":"J. Sci. Comput."},{"key":"3003_CR46","doi-asserted-by":"publisher","first-page":"664","DOI":"10.1016\/j.jcp.2004.07.019","volume":"202","author":"A Murrone","year":"2005","unstructured":"Murrone, A., Guillard, H.: A five equation reduced model for compressible two phase flow problems. J. Comput. Phys. 202, 664\u2013698 (2005)","journal-title":"J. Comput. Phys."},{"key":"3003_CR47","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1016\/j.jcp.2005.08.028","volume":"213","author":"RR Nourgaliev","year":"2006","unstructured":"Nourgaliev, R.R., Dinh, T.N., Theofanous, T.G.: Adaptive characteristics-based matching for compressible multifluid dynamics. J. Comput. Phys. 213, 500\u2013529 (2006)","journal-title":"J. Comput. Phys."},{"key":"3003_CR48","doi-asserted-by":"publisher","DOI":"10.1007\/b98879","volume-title":"Level set methods and dynamic implicit surfaces","author":"S Osher","year":"2003","unstructured":"Osher, S., Fedkiw, R.: Level set methods and dynamic implicit surfaces. Springer, New York (2003)"},{"key":"3003_CR49","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.jcp.2018.05.018","volume":"371","author":"AK Pandare","year":"2018","unstructured":"Pandare, A.K., Luo, H.: A robust and efficient finite volume method for compressible inviscid and viscous two-phase flows. J. Comput. Phys. 371, 67\u201391 (2018)","journal-title":"J. Comput. Phys."},{"key":"3003_CR50","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1137\/050628052","volume":"44","author":"C Par\u00e9s","year":"2006","unstructured":"Par\u00e9s, C.: Numerical methods for nonconservative hyperbolic systems: a theoretical framework. SIAM J. Numer. Anal. 44, 300\u2013321 (2006)","journal-title":"SIAM J. Numer. Anal."},{"key":"3003_CR51","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":"3003_CR52","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":"3003_CR53","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":"3003_CR54","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":"3003_CR55","doi-asserted-by":"publisher","first-page":"630","DOI":"10.1016\/j.apnum.2022.07.007","volume":"181","author":"B-S Wang","year":"2022","unstructured":"Wang, B.-S., Don, W.S.: Affine-invariant WENO weights and operator. Appl. Numer. Math. 181, 630\u2013646 (2022)","journal-title":"Appl. Numer. Math."},{"key":"3003_CR56","doi-asserted-by":"publisher","first-page":"A3932","DOI":"10.1137\/20M1327926","volume":"42","author":"B-S Wang","year":"2020","unstructured":"Wang, B.-S., Don, W.S., Garg, N.K., Kurganov, A.: Fifth-order A-WENO finite difference schemes based on a new adaptive diffusion central numerical flux. SIAM J. Sci. Comput. 42, A3932\u2013A3956 (2020)","journal-title":"SIAM J. Sci. Comput."},{"key":"3003_CR57","first-page":"295","volume":"5","author":"B-S Wang","year":"2023","unstructured":"Wang, B.-S., Don, W.S., Kurganov, A., Liu, Y.: Fifth-order A-WENO schemes based on the adaptive diffusion central-upwind Rankine-Hugoniot fluxes, Commun. Appl. Math. Comput. 5, 295\u2013314 (2023)","journal-title":"Appl. Math. Comput."},{"key":"3003_CR58","doi-asserted-by":"publisher","first-page":"483","DOI":"10.1016\/j.apnum.2022.06.006","volume":"181","author":"B-S Wang","year":"2022","unstructured":"Wang, B.-S., Li, P., Gao, Z.: High-order well-balanced and positivity-preserving finite-difference AWENO scheme with hydrostatic reconstruction for shallow water equations. Appl. Numer. Math. 181, 483\u2013502 (2022)","journal-title":"Appl. Numer. Math."},{"key":"3003_CR59","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":"3003_CR60","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-Kutta discontinuous Galerkin method. J. Comput. Phys. 229, 8823\u20138843 (2010)","journal-title":"J. Comput. Phys."},{"key":"3003_CR61","doi-asserted-by":"publisher","DOI":"10.1016\/j.compfluid.2022.105743","volume":"251","author":"Y Wang","year":"2023","unstructured":"Wang, Y., Don, W.S., Wang, B.-S.: Fifth order AWENO finite difference scheme with adaptive numerical diffusion for Euler equations. Comput. & Fluids 251, 105743 (2023)","journal-title":"Comput. & Fluids"},{"key":"3003_CR62","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2021.110569","volume":"444","author":"ML Wong","year":"2021","unstructured":"Wong, M.L., Angel, J.B., Barad, M.F., Kiris, C.F.: A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows. J. Comput. Phys. 444, 110569 (2021)","journal-title":"J. Comput. Phys."},{"key":"3003_CR63","doi-asserted-by":"publisher","first-page":"1031","DOI":"10.1137\/21M1458247","volume":"65","author":"K Wu","year":"2023","unstructured":"Wu, K., Shu, C.-W.: Geometric quasilinearization framework for analysis and design of bound-preserving schemes. SIAM Rev. 65, 1031\u20131073 (2023)","journal-title":"SIAM Rev."},{"doi-asserted-by":"crossref","unstructured":"Xiong, T., Qiu, J.-M., Xu, Z.: Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations. J. Sci. Comput. 67, 1066\u20131088 (2016)","key":"3003_CR64","DOI":"10.1007\/s10915-015-0118-0"},{"key":"3003_CR65","doi-asserted-by":"publisher","first-page":"2213","DOI":"10.1090\/S0025-5718-2013-02788-3","volume":"83","author":"Z Xu","year":"2014","unstructured":"Xu, Z.: Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem. Math. Comput. 83, 2213\u20132238 (2014)","journal-title":"Math. Comput."},{"key":"3003_CR66","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111356","volume":"466","author":"C Zhang","year":"2022","unstructured":"Zhang, C., Menshov, I., Wang, L., Shen, Z.: Diffuse interface relaxation model for two-phase compressible flows with diffusion processes. J. Comput. Phys. 466, 111356 (2022)","journal-title":"J. Comput. Phys."},{"key":"3003_CR67","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2022.106649","volume":"114","author":"F Zhang","year":"2022","unstructured":"Zhang, F., Cheng, J.: A bound-preserving and positivity-preserving finite volume WENO scheme for solving five-equation model of two-medium flows. Commun. Nonlinear Sci. Numer. Simul. 114, 106649 (2022)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"3003_CR68","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/j.jcp.2016.10.002","volume":"328","author":"X Zhang","year":"2017","unstructured":"Zhang, X.: On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations. J. Comput. Phys. 328, 301\u2013343 (2017)","journal-title":"J. Comput. Phys."},{"key":"3003_CR69","doi-asserted-by":"publisher","first-page":"3091","DOI":"10.1016\/j.jcp.2009.12.030","volume":"229","author":"X Zhang","year":"2010","unstructured":"Zhang, 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":"3003_CR70","doi-asserted-by":"publisher","first-page":"2752","DOI":"10.1098\/rspa.2011.0153","volume":"467","author":"X Zhang","year":"2011","unstructured":"Zhang, X., Shu, C.-W.: Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments. Proc. R. Soc. A: Math. Phys. Eng. Sci. 467, 2752\u20132776 (2011)","journal-title":"Proc. R. Soc. A: Math. Phys. Eng. Sci."},{"key":"3003_CR71","doi-asserted-by":"publisher","first-page":"2245","DOI":"10.1016\/j.jcp.2011.11.020","volume":"231","author":"X Zhang","year":"2012","unstructured":"Zhang, X., Shu, C.-W.: Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. J. Comput. Phys. 231, 2245\u20132258 (2012)","journal-title":"J. Comput. Phys."},{"key":"3003_CR72","doi-asserted-by":"publisher","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":"3003_CR73","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\/s10915-025-03003-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-025-03003-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-025-03003-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T07:01:09Z","timestamp":1757314869000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-025-03003-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,29]]},"references-count":73,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,9]]}},"alternative-id":["3003"],"URL":"https:\/\/doi.org\/10.1007\/s10915-025-03003-y","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2025,7,29]]},"assertion":[{"value":"26 April 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 July 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 July 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 July 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no relevant financial or non-financial interests to disclose.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}],"article-number":"94"}}