{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:27:47Z","timestamp":1787336867452,"version":"build-2736575974"},"reference-count":13,"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":[[2000,1]]},"abstract":"<jats:p>An elliptic, quasi-orthogonal grid generation system is formulated based on quasi-conformal mapping for arbitrary anisotropic (long and skinny) regions. The resulting system is a generalization of the well-known elliptic grid generation system derived from conformal mapping. Coupled with the grid generation system, the impedance-matching principle describes a methodology for preserving the discrete accuracy of the simulation, both internal to the domain and near internal geometric interfaces. Empirically, satisfying the impedance principle tends to minimize mesh effects on the solution results; meshes that are impedance-matched tend to reduce or eliminate spurious wave reflection and\/or attenuation at internal interfaces. The resulting grid generation system is used to construct impedance-matched quasi-orthogonal grids on domains containing internal geometric constraints given an algebraic grid and a grid impedance function as initial conditions.<\/jats:p>","DOI":"10.1137\/s1064827599358613","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"1220-1237","source":"Crossref","is-referenced-by-count":8,"title":["Quasi-Orthogonal Grids with Impedance Matching"],"prefix":"10.1137","volume":"22","author":[{"given":"Ahmed","family":"Khamayseh","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Glen","family":"Hansen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,2,17]]},"reference":[{"key":"R1","volume-title":"Lectures on quasiconformal mappings","author":"Ahlfors Lars","year":"1987"},{"key":"R2","first-page":"338","volume":"28","author":"Qi Yi","year":"1999","journal-title":"Adv. Math. (China)"},{"key":"R3","volume-title":"Elliptic systems and quasiconformal mappings","author":"Renelt Heinrich","year":"1988"},{"key":"R4","unstructured":"Lipman Bers, Matematicheskie voprosy dozvukovoi i okolozvukovoi gazovoi dinamiki, Translated by L. V. Ovsjannikov, edited by A. V. Bicadze, Izdat. Inostr. Lit., Moscow, 1961, 208\u2013023:B134"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1996.0032"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/0905022"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(67)90096-1"},{"key":"R8","unstructured":"R. Arina, Adaptive orthogonal curvilinear coordinates, Inst. Math. Appl. Conf. Ser. New Ser., Vol. 17, Oxford Univ. Press, New York, 1988, 353\u2013359989159"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(74)90114-4"},{"key":"R10","unstructured":"R. L. Sorenson,\n                      A Computer Program to Generate Two\u2010Dimensional Grids about Airfoils and Other Shapes by the Use of Poisson\u2019s Equations\n                      , NASA TM 81198, NASA Ames Research Center, Moffet Field, CA, 1980."},{"key":"R11","doi-asserted-by":"crossref","unstructured":"C. W. Hirt and J. D. Ramshaw,\n                      Prospects for numerical simulation of bluff\u2010body aerodynamics\n                      , in Aerodynamic Drag Mechanisms of Bluff Bodies and Road Vehicles, G. Sovran, T. Morel, and W. Mason, Jr., eds., Plenum, New York, 1978, pp. 313\u2013355.","DOI":"10.1007\/978-1-4684-8434-2_12"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(82)90028-6"},{"key":"R13","unstructured":"C. W. Mastin,\n                      Truncation error on structured grids\n                      , in Handbook of Grid Generation, J. F. Thompson, B. K. Soni, and N. P. Weatherill, eds., CRC Press, New York, 1998, pp. 32.1\u201332.10."}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S1064827599358613","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:34:18Z","timestamp":1787333658000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S1064827599358613"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,1]]},"references-count":13,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2000,1]]}},"alternative-id":["10.1137\/S1064827599358613"],"URL":"https:\/\/doi.org\/10.1137\/s1064827599358613","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,1]]}}}