{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:28:03Z","timestamp":1787333283797,"version":"build-2736575974"},"reference-count":18,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>This article deals with high-accuracy finite-difference schemes for hyperbolic equations, namely, dispersion-relation-preserving (DRP) scheme by Tam and Webb [J. Comput. Phys., 107 (1993), pp. 262\u2013281] and its modifications by Bogey and Bailly [J. Comput. Phys., 194 (2004), pp. 194\u2013214]. The technique of dispersion relation optimization is extended to equations at near-boundary nodes. The latter equations must approximate the dispersion of a governing scheme. Outflow and inflow artificial boundary conditions are constructed for the approximations to the transport equation and the Euler equations in both one and two dimensions. The stability analysis and test computations demonstrate the robustness of the algorithms proposed.<\/jats:p>","DOI":"10.1137\/080741483","type":"journal-article","created":{"date-parts":[[2010,7,6]],"date-time":"2010-07-06T18:04:54Z","timestamp":1278439494000},"page":"1950-1979","source":"Crossref","is-referenced-by-count":3,"title":["Artificial Boundary Conditions for High-Accuracy Aeroacoustic Algorithms"],"prefix":"10.1137","volume":"32","author":[{"given":"Ludwig W.","family":"Dorodnicyn","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,7,6]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1993.1142"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2003.09.003"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1007\/BF00311843"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1650070502"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1999.6383"},{"key":"R6","first-page":"1209","volume":"45","author":"Dorodnitsyn L. V.","year":"2005","journal-title":"Comput. Math. Math. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0965-5425","issn-type":"print"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2006.10.017"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2007.01.008"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1080\/10618560410001673551"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1996.0052"},{"key":"R11","unstructured":"C. Hirsch,\n                      Numerical Computation of lnternal and External Flows Vol.\n                      2:\n                      Computational Methods for Inviscid and Viscous Flows\n                      , Wiley, New York, 1990."},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(86)90194-4"},{"key":"R13","doi-asserted-by":"crossref","unstructured":"E. Hairer and G. Wanner,\n                      Solving Ordinary Differential Equations\n                      II.\n                      Stiff and Differential-Algebraic Problems\n                      , Springer-Verlag, New York, 1996.","DOI":"10.1007\/978-3-642-05221-7"},{"key":"R14","unstructured":"B. Gustafsson,\n                      High Order Difference Methods for Time Dependent PDE\n                      , Springer-Verlag, Berlin, 2008."},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1007\/s10598-008-9011-0"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1977-0436612-4"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1142\/S0218396X93000020"},{"key":"R18","unstructured":"C. K. W. Tam,\n                      Benchmark problems and solutions\n                      , in Proceedings of the ICASE\/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics, J. C. Hardin, J. R. Ristorcelli, and C. K. W. Tam, eds., NASA CP 3300, Hampton, VA, 1995, pp. 1\u201313."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/080741483","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T16:47:39Z","timestamp":1787330859000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/080741483"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":18,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1137\/080741483"],"URL":"https:\/\/doi.org\/10.1137\/080741483","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}