{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T06:55:36Z","timestamp":1774594536541,"version":"3.50.1"},"reference-count":61,"publisher":"Elsevier BV","issue":"1-2","license":[{"start":{"date-parts":[[2001,1,1]],"date-time":"2001-01-01T00:00:00Z","timestamp":978307200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Computing"],"published-print":{"date-parts":[[2001,1]]},"DOI":"10.1016\/s0167-8191(00)00088-0","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T11:01:26Z","timestamp":1027594886000},"page":"37-70","source":"Crossref","is-referenced-by-count":25,"title":["Highly parallel structured adaptive mesh refinement using parallel language-based approaches"],"prefix":"10.1016","volume":"27","author":[{"given":"Dinshaw S","family":"Balsara","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Charles D","family":"Norton","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0167-8191(00)00088-0_BIB1","doi-asserted-by":"crossref","unstructured":"M.J. Aftosmis, M.J. Berger, J.E. Melton, Robust and efficient Cartesian mesh generation for component-based geometry, Technical Report 97-0196, AIAA Paper, Reno, NV, Jan 1997","DOI":"10.2514\/6.1997-196"},{"issue":"6","key":"10.1016\/S0167-8191(00)00088-0_BIB2","doi-asserted-by":"crossref","first-page":"952","DOI":"10.2514\/2.464","article-title":"Robust and efficient cartesian mesh generation for component-based geometry","volume":"36","author":"Aftosmis","year":"1998","journal-title":"J. AIAA"},{"issue":"2","key":"10.1016\/S0167-8191(00)00088-0_BIB3","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/2.485843","article-title":"TreadMarks: shared memory computing on networks of workstations","volume":"29","author":"Amza","year":"1996","journal-title":"IEEE Comput."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB4","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1137\/0908025","article-title":"Local mesh refinement multilevel techniques","volume":"8","author":"Bai","year":"1987","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB5","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1006\/jcph.1994.1167","article-title":"Riemann solver for relativistic flow","volume":"114","author":"Balsara","year":"1994","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB6","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1086\/313092","article-title":"Linearized formulation of the Riemann problem for adiabatic and isothermal magnetohydrodynamics","volume":"116","author":"Balsara","year":"1998","journal-title":"Ap. J. Supp."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB7","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1086\/313093","article-title":"Total variation diminishing algorithm for adiabatic and isothermal magnetohydrodynamics","volume":"116","author":"Balsara","year":"1998","journal-title":"Ap. J. Supp."},{"issue":"5","key":"10.1016\/S0167-8191(00)00088-0_BIB8","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1016\/S0022-4073(98)00049-1","article-title":"An analysis of the hyperbolic nature of the equations of radiation magnetohydrodynamics","volume":"62","author":"Balsara","year":"1999","journal-title":"J. Quant. Spectrosc. Radiation Transfer"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB9","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/S0022-4073(98)00104-6","article-title":"Exact Jacobians of roe-type flux difference splitting of the equations of radiation hydrodynamics (and euler equations) for use in time-implicit higher order Godunov schemes","volume":"62","author":"Balsara","year":"1999","journal-title":"J. Quant. Spectrosc. Radiation Transfer"},{"issue":"5","key":"10.1016\/S0167-8191(00)00088-0_BIB10","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1016\/S0022-4073(98)00050-8","article-title":"Linearized formulation of the Riemann problem for radiation hydrodynamics","volume":"61","author":"Balsara","year":"1999","journal-title":"J. Quant. Spectrosc. Radiation Transfer"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB11","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/S0022-4073(98)00101-0","article-title":"Linearized formulation of the Riemann problem for radiation magnetohydrodynamics","volume":"62","author":"Balsara","year":"1999","journal-title":"J. Quant. Spectrosc. Radiation Transfer"},{"issue":"5","key":"10.1016\/S0167-8191(00)00088-0_BIB12","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1016\/S0022-4073(98)00051-X","article-title":"The eigenstructure of the equations of radiation magnetohydrodynamics","volume":"61","author":"Balsara","year":"1999","journal-title":"J. Quant. Spectrosc. Radiation Transfer"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB13","doi-asserted-by":"crossref","unstructured":"D. Balsara, Fast and accurate discrete ordinates methods for multidimensional radiative transfer, J. Quant. Spectrosc. Radiative Transfer, 2001, to appear","DOI":"10.1016\/S0022-4073(00)00114-X"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB14","first-page":"131","article-title":"Multilevel methods for fast solution of N-Body and hybrid systems","volume":"98","author":"Balsara","year":"1991","journal-title":"Int. Ser. Num. Math."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB15","unstructured":"D. Balsara, C.D. Norton, Innovative Language-Based & Object-Oriented Structured AMR using Fortran 90 and OpenMP. in: Y. Deng, O. Yasar, M. Leuze (Eds.), Proceedings of the New Trends in High Performance Computing, HPCU'99, Stony Brook, NY, August 1999, pp. 17\u201321"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB16","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1006\/jcph.2000.6443","article-title":"Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy","volume":"160","author":"Balsara","year":"2000","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB17","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1006\/jcph.1998.6153","article-title":"A staggered mesh algorithm using higher order Godunov fluxes to ensure solenoidal magnetic fields in MHD simulations","volume":"149","author":"Balsara","year":"1999","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB18","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1006\/jcph.1998.6108","article-title":"Maintaining pressure positivity in MHD flows","volume":"148","author":"Balsara","year":"1999","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB19","doi-asserted-by":"crossref","unstructured":"D. Balsara, Total variation diminishing scheme for relativistic magnetohydrodynamics, Astrophysical J., 2001, to appear","DOI":"10.1086\/318941"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB20","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1137\/0915008","article-title":"Three-dimensional adaptive refinement for hyperbolic conservation laws","volume":"15","author":"J Bell","year":"1994","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB21","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/0021-9991(89)90035-1","article-title":"Local adaptive mesh refinement for shock hydrodynamics","volume":"82","author":"Berger","year":"1989","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB22","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/0021-9991(89)90035-1","article-title":"Adaptive mesh refinement for hyperbolic partial differential equations","volume":"53","author":"Berger","year":"1989","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB23","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1109\/21.120081","article-title":"An algorithm for point clustering and grid generation","volume":"21","author":"Berger","year":"1991","journal-title":"IEEE Trans. System Man Cybernetics"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB24","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1090\/S0025-5718-1977-0431719-X","article-title":"Multi-level adaptive solutions to boundary value problems","volume":"31","author":"Brandt","year":"1977","journal-title":"Math. Comp."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB25","doi-asserted-by":"crossref","unstructured":"D. Brown, G. Chesshire, W. Henshaw, D. Quinlan, OVERTURE: an object oriented software system for solving partial differential equations in serial and parallel environments, in: M. Heath et. al. (Eds.), Procceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, Minneapolis, MN, March 1997, 14\u201317 CD-ROM","DOI":"10.1007\/3-540-63827-X_59"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB26","unstructured":"B.M. Chapman, P. Mehrotra, H.P. Zima, HPF+: New Languages and Implementation Mechanisms for the Support of Advanced Irregular Applications, In: Proceedings of the Sixth Workshop on Compilers for Parallel Computers, Aachen, 1996"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB27","doi-asserted-by":"crossref","first-page":"2304","DOI":"10.1016\/S0006-3495(95)80101-3","volume":"69","author":"Chen","year":"1995","journal-title":"Biophys. J."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB28","doi-asserted-by":"crossref","unstructured":"G.Q. Chen, J. Jerome, C.W. Shu, Analysis and simulation of extended hydrodynamic models: The Multi-valley gunn oscillator and MESFET Symmetries, VLSI Design, to appear","DOI":"10.1155\/1998\/21818"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB29","first-page":"0443","article-title":"Simulation of unsteady inviscid flow on an adaptively refined cartesian grid","volume":"92","author":"Chiang","year":"1992","journal-title":"J. AIAA"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB30","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1006\/jcph.1998.5892","article-title":"The Runge\u2013Kutta discontinuous Galerkin method for conservation laws V","volume":"141","author":"Cockburn","year":"1998","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB31","doi-asserted-by":"crossref","unstructured":"V.K. Decyk, C.D. Norton, B.K. Szymanski, How to express C++ concepts in Fortran 90, Sci. Program. 6 (4) (1997) 363\u2013390","DOI":"10.1155\/1997\/570746"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB32","doi-asserted-by":"crossref","unstructured":"V.K. Decyk, C.D. Norton, B.K. Szymanski, How to support inheritance and run-time polymorphism in Fortran 90, Comput. Phys. Commun. 115 (1998) 9\u201317","DOI":"10.1016\/S0010-4655(98)00101-5"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB33","first-page":"821","article-title":"Self-gravitational hydrodynamics with three-dimensional AMR: MMthodology and application to cloud collapse and fragmentation astrophysical","volume":"495","author":"Truelove","year":"1998","journal-title":"J. Supp."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB34","unstructured":"W.D. Gropp, D.E. Keyes, L.C. McInnes, M.D. Tidri, Globalized Newton\u2013Krylov\u2013Schwarz algorithms and software for parallel implicit CFD, Technical Report 98-24, ICASE, 1998"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB35","first-page":"2312","article-title":"On the nonstationary wave structure of 35-Moment closure for rarefied gas dynamics","volume":"95","author":"Groth","year":"1995","journal-title":"J. AIAA"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB36","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1086\/191344","article-title":"TREESPH: a unification of SPH with the hierarchical tree method","volume":"70","author":"Hernquist","year":"1989","journal-title":"Astrophys. J. Supp."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB37","unstructured":"High Performance Fortran Forum, High Performance Fortran Language Specification, version 2.0 edition, Jan 1997 http:\/\/softlib.rice.edu\/HPFF"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB38","doi-asserted-by":"crossref","unstructured":"Y.C. Hu, H. Lu, A.L. Cox, W. Zwaenepoel, OpenMP on Networks of SMPs, in: Proceedings of the 13th International Parallel Processing Symposium, 1999","DOI":"10.1109\/IPPS.1999.760492"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB39","first-page":"1596","article-title":"Time dependent calculations using multigrid with applications to unsteady flows past airfoils and wings","volume":"91","author":"Jameson","year":"1991","journal-title":"J. AIAA"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB40","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1006\/jcph.1996.0130","article-title":"Efficient implementation of WENO schemes","volume":"126","author":"Jiang","year":"1996","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB41","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0021-9991(90)90097-K","article-title":"A study of numerical methods for hyperbolic conservation laws with stiff source terms","volume":"86","author":"LeVeque","year":"1990","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB42","unstructured":"B.H. Liu, D.S. Balsara, An Implicit Unstructured Adaptive-Grid Approach for Compressible Flows with Moving Boundaries, submitted"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB43","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/0045-7825(89)90024-8","article-title":"Adaptive remeshing for transient problems","volume":"75","author":"Lohner","year":"1989","journal-title":"J. Comp. Meth. Appl. Mech. Eng."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB44","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1016\/S0010-4655(99)00501-9","article-title":"PARAMESH: A parallel adaptive mesh refinement community toolkit","volume":"126","author":"MacNeice","year":"2000","journal-title":"Comput. Phys. Commun."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB45","unstructured":"R. Menon, OpenMP Language Description, Nov. 1988 Presented at SC'98"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB46","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1016\/0021-9991(85)90144-5","article-title":"Experiments with implicit methods for the euler equations","volume":"59","author":"Mulder","year":"1995","journal-title":"J. Comp. Phys."},{"issue":"10","key":"10.1016\/S0167-8191(00)00088-0_BIB47","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1145\/226239.226257","article-title":"Object oriented parallel computation for plasma simulation","volume":"38","author":"Norton","year":"1995","journal-title":"Commun. ACM"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB48","unstructured":"OpenMP Forum, 1998, http:\/\/www.openmp.org"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB49","doi-asserted-by":"crossref","unstructured":"M. Parashar, J. Browne, C. Edwards, K. Klimkowski, A common data management infrastructure for parallel adaptive algorithms for PDE Solutions, in: Proceedings of the Supercomputing '97, IEEE Computer Society, November 1997","DOI":"10.1145\/509593.509649"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB50","doi-asserted-by":"crossref","unstructured":"R.B. Pember, J.B. Bell, P. Colella, W.Y. Crutchfield, M.L. Welcome. adaptive cartesian grid methods for representing geometry in inviscid compressible flow, J. AIAA 93(June) (1993) 3385","DOI":"10.2514\/6.1993-3385"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB51","unstructured":"T.H. Pulliam, S. Rogers, T. Barth, Practical aspects of krylov subspace iterative methods in CFD, in: Proceedings of the AGARD, Progresses and Challenges in CFD Methods and Algorithms, vol. 578, 1995"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB52","unstructured":"D. Quinlan, AMR++: A design for parallel object-oriented adaptive mesh refinement, in: Proceedings of the IMA Workshop on Structured Adaptive Mesh Refinement, Minneapolis, MN, March 1997"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB53","unstructured":"D. Quinlan, private communication, 1999"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB54","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1137\/S003613999427084X","article-title":"Notes on the eigensystem for magnetohydrodynamics","volume":"56","author":"Roe","year":"1996","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB55","doi-asserted-by":"crossref","unstructured":"A. Scherer, H. Lu, T. Gross, W. Zwaenepoel, Transparent adaptive parallelism on NOWs using OpenMP, in: Proceedings of the Seventh Conference on Principles and Practice of Parallel Programming, May 1999","DOI":"10.1145\/301104.301113"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB56","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1086\/191682","article-title":"ZEUS-2D A Radiation MHD code for astrophysical flows in two space dimensions. III The radiation hydrodynamic algorithms and tests","volume":"80","author":"Stone","year":"1992","journal-title":"Astrophys. J. Supp."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB57","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1086\/191680","article-title":"ZEUS-2D A Radiation MHD Code for Astrophysical flows in two space dimensions. I The hydrodynamic algorithms and tests","volume":"80","author":"Stone","year":"1992","journal-title":"Astrophys. J. Supp."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB58","doi-asserted-by":"crossref","first-page":"791","DOI":"10.1086\/191681","article-title":"ZEUS-2D A Radiation MHD Code for astrophysical flows in two space dimensionss. II The MHD Algorithms and tests","volume":"80","author":"Stone","year":"1992","journal-title":"Astrophys. J. Supp."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB59","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/0021-9991(79)90145-1","article-title":"Towards the ultimate conservative difference scheme V, A second order sequel to Godunov's method","volume":"32","author":"vanLeer","year":"1979","journal-title":"J. Comp. Phys."},{"key":"10.1016\/S0167-8191(00)00088-0_BIB60","doi-asserted-by":"crossref","unstructured":"G.P. Warren, W.K. Anderson, J.L. Thomas, S.L. Krist, Grid Convergence for Adaptive Methods, 1991","DOI":"10.2514\/6.1991-1592"},{"key":"10.1016\/S0167-8191(00)00088-0_BIB61","unstructured":"K.S. Yee, Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media, IEEE Trans. Antenna Propagation, AP-14 (1996) 302"}],"container-title":["Parallel Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167819100000880?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0167819100000880?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,9]],"date-time":"2020-01-09T19:47:21Z","timestamp":1578599241000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0167819100000880"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,1]]},"references-count":61,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2001,1]]}},"alternative-id":["S0167819100000880"],"URL":"https:\/\/doi.org\/10.1016\/s0167-8191(00)00088-0","relation":{},"ISSN":["0167-8191"],"issn-type":[{"value":"0167-8191","type":"print"}],"subject":[],"published":{"date-parts":[[2001,1]]}}}