{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T10:54:25Z","timestamp":1772794465353,"version":"3.50.1"},"reference-count":65,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,12,18]],"date-time":"2021-12-18T00:00:00Z","timestamp":1639785600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,12,18]],"date-time":"2021-12-18T00:00:00Z","timestamp":1639785600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100005950","name":"The Hong Kong University of Science and Technology","doi-asserted-by":"crossref","award":["NO. R9280"],"award-info":[{"award-number":["NO. R9280"]}],"id":[{"id":"10.13039\/501100005950","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Shenzhen Municipal Central Government Guides Local Science and Technology Development Special Funds Funded Projects","award":["2021Szvup138"],"award-info":[{"award-number":["2021Szvup138"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2022,1]]},"DOI":"10.1007\/s10915-021-01722-6","type":"journal-article","created":{"date-parts":[[2021,12,18]],"date-time":"2021-12-18T07:02:37Z","timestamp":1639810957000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["An Efficient Low-Dissipation High-Order TENO Scheme for MHD Flows"],"prefix":"10.1007","volume":"90","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8979-8415","authenticated-orcid":false,"given":"Lin","family":"Fu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,12,18]]},"reference":[{"issue":"3805","key":"1722_CR1","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1038\/150405d0","volume":"150","author":"H Alfv\u00e9n","year":"1942","unstructured":"Alfv\u00e9n, H.: Existence of electromagnetic-hydrodynamic waves. Nature 150(3805), 405\u2013406 (1942)","journal-title":"Nature"},{"key":"1722_CR2","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1016\/j.jcp.2014.03.001","volume":"268","author":"AJ Christlieb","year":"2014","unstructured":"Christlieb, A.J., Rossmanith, J.A., Tang, Q.: Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. J. Comput. Phys. 268, 302\u2013325 (2014)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"1722_CR3","doi-asserted-by":"publisher","first-page":"692","DOI":"10.1007\/s10915-019-00941-2","volume":"80","author":"L Fu","year":"2019","unstructured":"Fu, L., Tang, Q.: High-order low-dissipation targeted ENO schemes for ideal magnetohydrodynamics. J. Sci. Comput. 80(1), 692\u2013716 (2019)","journal-title":"J. Sci. Comput."},{"issue":"3","key":"1722_CR4","doi-asserted-by":"publisher","first-page":"426","DOI":"10.1016\/0021-9991(80)90079-0","volume":"35","author":"JU Brackbill","year":"1980","unstructured":"Brackbill, J.U., Barnes, D.C.: The effect of nonzero $$\\nabla \\cdot B$$ on the numerical solution of the magnetohydrodynamic equations. J. Comput. Phys. 35(3), 426\u2013430 (1980)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"1722_CR5","doi-asserted-by":"publisher","first-page":"1079","DOI":"10.1086\/381051","volume":"602","author":"DS Balsara","year":"2004","unstructured":"Balsara, D.S., Kim, J.: A comparison between divergence-cleaning and staggered-mesh formulations for numerical magnetohydrodynamics. Astrophys. J. 602(2), 1079 (2004)","journal-title":"Astrophys. J."},{"issue":"2","key":"1722_CR6","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1137\/0915019","volume":"15","author":"AL Zachary","year":"1994","unstructured":"Zachary, A.L., Malagoli, A., Colella, P.: A higher-order Godunov method for multidimensional ideal magnetohydrodynamics. SIAM J. Sci. Comput. 15(2), 263\u2013284 (1994)","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"1722_CR7","doi-asserted-by":"publisher","first-page":"284","DOI":"10.1006\/jcph.1999.6299","volume":"154","author":"KG Powell","year":"1999","unstructured":"Powell, K.G., Roe, P.L., Linde, T.J., Gombosi, T.I., De Zeeuw, D.L.: A solution-adaptive upwind scheme for ideal magnetohydrodynamics. J. Comput. Phys. 154(2), 284\u2013309 (1999)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"1722_CR8","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1006\/jcph.2001.6961","volume":"175","author":"A Dedner","year":"2002","unstructured":"Dedner, A., Kemm, F., Kr\u00f6ner, D., Munz, C.-D., Schnitzer, T., Wesenberg, M.: Hyperbolic divergence cleaning for the MHD equations. J. Comput. Phys. 175(2), 645\u2013673 (2002)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"1722_CR9","doi-asserted-by":"publisher","first-page":"588","DOI":"10.1016\/j.jcp.2003.09.007","volume":"194","author":"B Cockburn","year":"2004","unstructured":"Cockburn, B., Li, F., Shu, C.-W.: Locally divergence-free discontinuous Galerkin methods for the Maxwell equations. J. Comput. Phys. 194(2), 588\u2013610 (2004)","journal-title":"J. Comput. Phys."},{"key":"1722_CR10","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1086\/166684","volume":"332","author":"CR Evans","year":"1988","unstructured":"Evans, C.R., Hawley, J.F.: Simulation of magnetohydrodynamic flows-A constrained transport method. Astrophys. J. 332, 659\u2013677 (1988)","journal-title":"Astrophys. J."},{"issue":"2","key":"1722_CR11","doi-asserted-by":"publisher","first-page":"605","DOI":"10.1006\/jcph.2000.6519","volume":"161","author":"G T\u00f3th","year":"2000","unstructured":"T\u00f3th, G.: The $$\\nabla \\cdot B= 0$$ constraint in shock-capturing magnetohydrodynamics codes. J. Comput. Phys. 161(2), 605\u2013652 (2000)","journal-title":"J. Comput. Phys."},{"key":"1722_CR12","doi-asserted-by":"publisher","first-page":"232","DOI":"10.1063\/1.1699639","volume":"21","author":"J von Neumann","year":"1950","unstructured":"von Neumann, J., Richtmyer, R.: A method for the numerical calculation of hydrodynamic shocks. J. Appl. Phys. 21, 232 (1950)","journal-title":"J. Appl. Phys."},{"key":"1722_CR13","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1080\/10618569508904524","volume":"4","author":"A Jameson","year":"1994","unstructured":"Jameson, A.: Analysis and design of numerical schemes for gas dynamics, 1: artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence. Int. J. Comput. Fluid Dyn. 4, 171\u2013218 (1994)","journal-title":"Int. J. Comput. Fluid Dyn."},{"key":"1722_CR14","first-page":"111","volume":"98","author":"S Premasuthan","year":"2014","unstructured":"Premasuthan, S., Liang, C., Jameson, A.: Computation of flows with shocks using the Spectral Difference method with artificial viscosity, I: Basic formulation and application. J. Comput. Phys. 98, 111\u2013121 (2014)","journal-title":"J. Comput. Phys."},{"key":"1722_CR15","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/0021-9991(83)90136-5","volume":"49","author":"A Harten","year":"1983","unstructured":"Harten, A.: A high resolution scheme for the computation of weak solutions of hyperbolic conservation Laws. J. Comput. Phys. 49, 357\u2013393 (1983)","journal-title":"J. Comput. Phys."},{"key":"1722_CR16","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1016\/j.jcp.2005.02.022","volume":"208","author":"KH Kim","year":"2005","unstructured":"Kim, K.H., Kim, C.: Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows Part II: Multi-dimensional limiting process. J. Comput. Phys. 208, 570\u2013615 (2005)","journal-title":"J. Comput. Phys."},{"key":"1722_CR17","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/0021-9991(87)90031-3","volume":"71","author":"A Harten","year":"1987","unstructured":"Harten, A., Engquist, B., Osher, S., Chakravarthy, S.R.: Uniformly high order accurate essentially non-oscillatory schemes, III. J. Comput. Phys. 71, 231\u2013303 (1987)","journal-title":"J. Comput. Phys."},{"key":"1722_CR18","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."},{"issue":"1","key":"1722_CR19","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(1), 202\u2013228 (1996)","journal-title":"J. Comput. Phys."},{"key":"1722_CR20","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., 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":"1722_CR21","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":"1722_CR22","doi-asserted-by":"publisher","first-page":"726","DOI":"10.1016\/j.jcp.2016.01.038","volume":"313","author":"F Acker","year":"2016","unstructured":"Acker, F., Borges, R.R., Costa, B.: An improved WENO-Z scheme. J. Comput. Phys. 313, 726\u2013753 (2016)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"1722_CR23","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1051\/m2an:1999152","volume":"33","author":"D Levy","year":"1999","unstructured":"Levy, D., Puppo, G., Russo, G.: Central WENO schemes for hyperbolic systems of conservation laws. ESAIM: Mathematical Modelling and Numerical Analysis-Mod\u00e9lisation Math\u00e9matique et Analyse Num\u00e9rique 33(3), 547\u2013571 (1999)","journal-title":"ESAIM: Mathematical Modelling and Numerical Analysis-Mod\u00e9lisation Math\u00e9matique et Analyse Num\u00e9rique"},{"issue":"2","key":"1722_CR24","doi-asserted-by":"publisher","first-page":"656","DOI":"10.1137\/S1064827599359461","volume":"22","author":"D Levy","year":"2000","unstructured":"Levy, D., Puppo, G., Russo, G.: Compact central WENO schemes for multidimensional conservation laws. SIAM J. Sci. Comput. 22(2), 656\u2013672 (2000)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"1722_CR25","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1006\/jcph.2002.7021","volume":"178","author":"S Pirozzoli","year":"2002","unstructured":"Pirozzoli, S.: Conservative hybrid compact-WENO schemes for shock-turbulence interaction. J. Comput. Phys. 178(1), 81\u2013117 (2002)","journal-title":"J. Comput. Phys."},{"key":"1722_CR26","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1016\/j.jcp.2003.07.006","volume":"192","author":"Y-X Ren","year":"2003","unstructured":"Ren, Y.-X., Liu, M., Zhang, H.: A characteristic-wise compact WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 192, 365\u2013386 (2003)","journal-title":"J. Comput. Phys."},{"key":"1722_CR27","doi-asserted-by":"publisher","first-page":"780","DOI":"10.1016\/j.jcp.2016.09.009","volume":"326","author":"DS Balsara","year":"2016","unstructured":"Balsara, D.S., Garain, S., Shu, C.-W.: An efficient class of WENO schemes with adaptive order. J. Comput. Phys. 326, 780\u2013804 (2016)","journal-title":"J. Comput. Phys."},{"key":"1722_CR28","doi-asserted-by":"publisher","first-page":"110","DOI":"10.1016\/j.jcp.2016.05.010","volume":"318","author":"J Zhu","year":"2016","unstructured":"Zhu, J., Qiu, J.: A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws. J. Comput. Phys. 318, 110\u2013121 (2016)","journal-title":"J. Comput. Phys."},{"key":"1722_CR29","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/j.jcp.2016.06.051","volume":"322","author":"Z Sun","year":"2016","unstructured":"Sun, Z., Inaba, S., Xiao, F.: Boundary variation diminishing (BVD) reconstruction: a new approach to improve Godunov schemes. J. Comput. Phys. 322, 309\u2013325 (2016)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"1722_CR30","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10915-020-01156-6","volume":"83","author":"M Semplice","year":"2020","unstructured":"Semplice, M., Visconti, G.: Efficient implementation of adaptive order reconstructions. J. Sci. Comput. 83(1), 1\u201327 (2020)","journal-title":"J. Sci. Comput."},{"key":"1722_CR31","doi-asserted-by":"publisher","first-page":"104961","DOI":"10.1016\/j.compfluid.2021.104961","volume":"225","author":"P Tsoutsanis","year":"2021","unstructured":"Tsoutsanis, P., Dumbser, M.: Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes. Comput. Fluids 225, 104961 (2021)","journal-title":"Comput. Fluids"},{"issue":"18","key":"1722_CR32","doi-asserted-by":"publisher","first-page":"6991","DOI":"10.1016\/j.jcp.2009.06.009","volume":"228","author":"M Dumbser","year":"2009","unstructured":"Dumbser, M., Zanotti, O.: Very high order $$P_NP_M$$ schemes on unstructured meshes for the resistive relativistic MHD equations. J. Comput. Phys. 228(18), 6991\u20137006 (2009)","journal-title":"J. Comput. Phys."},{"key":"1722_CR33","unstructured":"Suresh, A., Huynth, H., Suresh, A., Huynth, H.: Accurate monotonicity-preserving schemes with Runge\u2013Kutta time stepping. In: 13th Computational Fluid Dynamics Conference, p 2037"},{"key":"1722_CR34","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.cma.2016.09.035","volume":"313","author":"S Badia","year":"2017","unstructured":"Badia, S., Bonilla, J.: Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization. Comput. Methods Appl. Mech. Eng. 313, 133\u2013158 (2017)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"4","key":"1722_CR35","doi-asserted-by":"publisher","first-page":"1213","DOI":"10.1016\/j.jcp.2009.10.028","volume":"229","author":"E Johnsen","year":"2010","unstructured":"Johnsen, E., Larsson, J., Bhagatwala, A.V., Cabot, W.H., Moin, P., Olson, B.J., Rawat, P.S., Shankar, S.K., Sj\u00f6green, B., Yee, H., Zhong, X., Lele, S.K.: Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves. J. Comput. Phys. 229(4), 1213\u20131237 (2010)","journal-title":"J. Comput. Phys."},{"key":"1722_CR36","doi-asserted-by":"publisher","first-page":"A8","DOI":"10.1017\/jfm.2020.935","volume":"909","author":"L Fu","year":"2021","unstructured":"Fu, L., Karp, M., Bose, S.T., Moin, P., Urzay, J.: Shock-induced heating and transition to turbulence in a hypersonic boundary layer. J. Fluid Mech. 909, A8 (2021)","journal-title":"J. Fluid Mech."},{"key":"1722_CR37","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1016\/j.jcp.2015.10.037","volume":"305","author":"L Fu","year":"2016","unstructured":"Fu, L., Hu, X.Y., Adams, N.A.: A family of high-order targeted ENO schemes for compressible-fluid simulations. J. Comput. Phys. 305, 333\u2013359 (2016)","journal-title":"J. Comput. Phys."},{"key":"1722_CR38","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/j.jcp.2017.07.054","volume":"349","author":"L Fu","year":"2017","unstructured":"Fu, L., Hu, X.Y., Adams, N.A.: Targeted ENO schemes with tailored resolution property for hyperbolic conservation laws. J. Comput. Phys. 349, 97\u2013121 (2017)","journal-title":"J. Comput. Phys."},{"key":"1722_CR39","doi-asserted-by":"publisher","first-page":"724","DOI":"10.1016\/j.jcp.2018.07.043","volume":"374","author":"L Fu","year":"2018","unstructured":"Fu, L., Hu, X.Y., Adams, N.A.: A new class of adaptive high-order targeted ENO schemes for hyperbolic conservation laws. J. Comput. Phys. 374, 724\u2013751 (2018)","journal-title":"J. Comput. Phys."},{"key":"1722_CR40","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1016\/j.cpc.2018.10.009","volume":"235","author":"L Fu","year":"2019","unstructured":"Fu, L.: A low-dissipation finite-volume method based on a new TENO shock-capturing scheme. Comput. Phys. Commun. 235, 25\u201339 (2019)","journal-title":"Comput. Phys. Commun."},{"key":"1722_CR41","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/j.cpc.2019.06.013","volume":"244","author":"L Fu","year":"2019","unstructured":"Fu, L.: A very-high-order TENO scheme for all-speed gas dynamics and turbulence. Comput. Phys. Commun. 244, 117\u2013131 (2019)","journal-title":"Comput. Phys. Commun."},{"key":"1722_CR42","doi-asserted-by":"publisher","first-page":"109960","DOI":"10.1016\/j.jcp.2020.109960","volume":"428","author":"Y Li","year":"2021","unstructured":"Li, Y., Fu, L., Adams, N.A.: A low-dissipation shock-capturing framework with flexible nonlinear dissipation control. J. Comput. Phys. 428, 109960 (2021)","journal-title":"J. Comput. Phys."},{"key":"1722_CR43","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1016\/j.compfluid.2017.01.012","volume":"146","author":"O Haimovich","year":"2017","unstructured":"Haimovich, O., Frankel, S.H.: Numerical simulations of compressible multicomponent and multiphase flow using a high-order targeted ENO (TENO) finite-volume method. Comput. Fluids 146, 105\u2013116 (2017)","journal-title":"Comput. Fluids"},{"issue":"5","key":"1722_CR44","doi-asserted-by":"publisher","first-page":"1357","DOI":"10.4208\/cicp.OA-2018-0008","volume":"25","author":"H Dong","year":"2019","unstructured":"Dong, H., Fu, L., Zhang, F., Liu, Y., Liu, J.: Detonation simulations with a fifth-order TENO scheme. Commun. Comput. Phys. 25(5), 1357\u20131393 (2019)","journal-title":"Commun. Comput. Phys."},{"key":"1722_CR45","doi-asserted-by":"crossref","unstructured":"Di Renzo, M., Fu, L., Urzay, J.: HTR solver: an open-source exascale-oriented task-based multi-GPU high-order code for hypersonic aerothermodynamics. Comput. Phys. Commun. 107262 (2020)","DOI":"10.1016\/j.cpc.2020.107262"},{"key":"1722_CR46","doi-asserted-by":"crossref","unstructured":"Lusher, D.J., Sandham, N.D.: Shock-wave\/boundary-layer interactions in transitional rectangular duct flows. Flow Turbul Combust 1\u201322 (2020)","DOI":"10.1007\/978-3-030-42822-8_35"},{"issue":"1","key":"1722_CR47","doi-asserted-by":"publisher","first-page":"176","DOI":"10.1002\/fld.4879","volume":"93","author":"A Hamzehloo","year":"2021","unstructured":"Hamzehloo, A., Lusher, D.J., Laizet, S., Sandham, N.D.: On the performance of WENO\/TENO schemes to resolve turbulence in DNS\/LES of high-speed compressible flows. Int. J. Numer. Methods Fluids 93(1), 176\u2013196 (2021)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"1722_CR48","doi-asserted-by":"publisher","first-page":"109902","DOI":"10.1016\/j.jcp.2020.109902","volume":"425","author":"J Peng","year":"2021","unstructured":"Peng, J., Liu, S., Li, S., Zhang, K., Shen, Y.: An efficient targeted ENO scheme with local adaptive dissipation for compressible flow simulation. J. Comput. Phys. 425, 109902 (2021)","journal-title":"J. Comput. Phys."},{"issue":"186","key":"1722_CR49","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(186), 411\u2013435 (1989)","journal-title":"Math. Comput."},{"issue":"1","key":"1722_CR50","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1016\/0021-9991(89)90226-X","volume":"83","author":"A Harten","year":"1989","unstructured":"Harten, A.: ENO schemes with subcell resolution. J. Comput. Phys. 83(1), 148\u2013184 (1989)","journal-title":"J. Comput. Phys."},{"issue":"21","key":"1722_CR51","doi-asserted-by":"publisher","first-page":"8105","DOI":"10.1016\/j.jcp.2010.07.012","volume":"229","author":"G Li","year":"2010","unstructured":"Li, G., Qiu, J.: Hybrid weighted essentially non-oscillatory schemes with different indicators. J. Comput. Phys. 229(21), 8105\u20138129 (2010)","journal-title":"J. Comput. Phys."},{"issue":"3\u20134","key":"1722_CR52","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1016\/j.apnum.2003.11.002","volume":"48","author":"L Krivodonova","year":"2004","unstructured":"Krivodonova, L., Xin, J., Remacle, J.-F., Chevaugeon, N., Flaherty, J.E.: Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Appl. Numer. Math. 48(3\u20134), 323\u2013338 (2004)","journal-title":"Appl. Numer. Math."},{"issue":"10","key":"1722_CR53","doi-asserted-by":"publisher","first-page":"3803","DOI":"10.1016\/j.jcp.2011.02.009","volume":"230","author":"C Helzel","year":"2011","unstructured":"Helzel, C., Rossmanith, J.A., Taetz, B.: An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations. J. Comput. Phys. 230(10), 3803\u20133829 (2011)","journal-title":"J. Comput. Phys."},{"issue":"6","key":"1722_CR54","doi-asserted-by":"publisher","first-page":"2126","DOI":"10.1137\/S106482759732455X","volume":"21","author":"G-S Jiang","year":"2000","unstructured":"Jiang, G.-S., Peng, D.: Weighted ENO schemes for Hamilton-Jacobi equations. SIAM J. Sci. Comput. 21(6), 2126\u20132143 (2000)","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"1722_CR55","doi-asserted-by":"publisher","first-page":"311","DOI":"10.4208\/cicp.OA-2018-0145","volume":"26","author":"L Fu","year":"2019","unstructured":"Fu, L., Hu, X.Y., Adams, N.A.: A targeted ENO scheme as implicit model for turbulent and genuine subgrid scales. Commun. Comput. Phys. 26(2), 311\u2013345 (2019)","journal-title":"Commun. Comput. Phys."},{"issue":"3","key":"1722_CR56","doi-asserted-by":"publisher","first-page":"1143","DOI":"10.2514\/1.J057370","volume":"57","author":"L Fu","year":"2019","unstructured":"Fu, L., Hu, X.Y., Adams, N.A.: Improved five- and six-point targeted essentially nonoscillatory schemes with adaptive dissipation. AIAA J. 57(3), 1143\u20131158 (2019)","journal-title":"AIAA J."},{"issue":"2","key":"1722_CR57","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(2), 517\u2013549 (1999)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"1722_CR58","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(1), 89\u2013112 (2001)","journal-title":"SIAM Rev."},{"issue":"03","key":"1722_CR59","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1017\/S0022377803002186","volume":"69","author":"M Torrilhon","year":"2003","unstructured":"Torrilhon, M.: Uniqueness conditions for Riemann problems of ideal magnetohydrodynamics. J. Plasma Phys. 69(03), 253\u2013276 (2003)","journal-title":"J. Plasma Phys."},{"key":"1722_CR60","doi-asserted-by":"publisher","first-page":"228","DOI":"10.1086\/175437","volume":"442","author":"D Ryu","year":"1995","unstructured":"Ryu, D., Jones, T.: Numerical magetohydrodynamics in astrophysics: algorithm and tests for one-dimensional flow. Astrophys. J. 442, 228\u2013258 (1995)","journal-title":"Astrophys. J."},{"key":"1722_CR61","unstructured":"Susanto, A.: High-order finite-volume schemes for magnetohydrodynamics (2014). http:\/\/hdl.handle.net\/10012\/8597"},{"issue":"01","key":"1722_CR62","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1017\/S002211207900210X","volume":"90","author":"SA Orszag","year":"1979","unstructured":"Orszag, S.A., Tang, C.-M.: Small-scale structure of two-dimensional magnetohydrodynamic turbulence. J. Fluid Mech. 90(01), 129\u2013143 (1979)","journal-title":"J. Fluid Mech."},{"key":"1722_CR63","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1016\/j.jcp.2013.05.033","volume":"251","author":"S Kawai","year":"2013","unstructured":"Kawai, S.: Divergence-free-preserving high-order schemes for magnetohydrodynamics: an artificial magnetic resistivity method. J. Comput. Phys. 251, 292\u2013318 (2013)","journal-title":"J. Comput. Phys."},{"key":"1722_CR64","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/j.jcp.2015.11.025","volume":"306","author":"Y Yang","year":"2016","unstructured":"Yang, Y., Wan, M., Shi, Y., Yang, K., Chen, S.: A hybrid scheme for compressible magnetohydrodynamic turbulence. J. Comput. Phys. 306, 73\u201391 (2016)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"1722_CR65","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1006\/jcph.1998.6153","volume":"149","author":"DS Balsara","year":"1999","unstructured":"Balsara, D.S., Spicer, D.S.: A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations. J. Comput. Phys. 149(2), 270\u2013292 (1999)","journal-title":"J. Comput. Phys."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01722-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-021-01722-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-021-01722-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,11]],"date-time":"2023-02-11T08:14:36Z","timestamp":1676103276000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-021-01722-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,18]]},"references-count":65,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,1]]}},"alternative-id":["1722"],"URL":"https:\/\/doi.org\/10.1007\/s10915-021-01722-6","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,18]]},"assertion":[{"value":"28 July 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 October 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 November 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 December 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"55"}}