{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T13:38:17Z","timestamp":1774273097301,"version":"3.50.1"},"reference-count":36,"publisher":"Elsevier BV","issue":"3-6","license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"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":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2003,1]]},"DOI":"10.1016\/s0378-4754(02)00107-6","type":"journal-article","created":{"date-parts":[[2003,1,21]],"date-time":"2003-01-21T19:04:26Z","timestamp":1043175866000},"page":"561-572","source":"Crossref","is-referenced-by-count":202,"title":["Developments in Cartesian cut cell methods"],"prefix":"10.1016","volume":"61","author":[{"given":"D.M.","family":"Ingram","sequence":"first","affiliation":[]},{"given":"D.M.","family":"Causon","sequence":"additional","affiliation":[]},{"given":"C.G.","family":"Mingham","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0378-4754(02)00107-6_BIB1","unstructured":"J. Thompson, Z. Warsi, C. Wayne-Mastin, Numerical Grid Generation: Foundation and Applications, Elsevier, Amsterdam, 1985."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB2","doi-asserted-by":"crossref","unstructured":"N. Weatherill, C. Forsey, Grid Generation and Flow Calculations for Complex Aircraft Geometries using a Multi-Block Scheme, AIAA paper 84-1665, 1984.","DOI":"10.2514\/6.1984-1665"},{"key":"10.1016\/S0378-4754(02)00107-6_BIB3","unstructured":"J. Steger, F. Dougherty, J. Benek, A chimera grid scheme, in: Advances in Grid Generation, ASME FED-5, 1983, pp. 59\u201369."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB4","doi-asserted-by":"crossref","unstructured":"C.M. Albone, Embedded Meshes of Controllable Quality Synthesised from Elementary Geometric Features, AIAA paper 92-0662, 1992.","DOI":"10.2514\/6.1992-663"},{"issue":"12","key":"10.1016\/S0378-4754(02)00107-6_BIB5","doi-asserted-by":"crossref","first-page":"1661","DOI":"10.1016\/S0167-8191(00)00044-2","article-title":"Partitioning strategies for structured multiblock grids","volume":"26","author":"Rantakokko","year":"2000","journal-title":"Parallel Comput."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB6","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/0021-9991(87)90093-3","article-title":"Adaptive remeshing for compressible flow computations","volume":"72","author":"Peraire","year":"1987","journal-title":"J. Comput. Phys."},{"issue":"1","key":"10.1016\/S0378-4754(02)00107-6_BIB7","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1006\/jcph.1993.1007","article-title":"An adaptively refined Cartesian mesh solver for the Euler equations","volume":"104","author":"De Zeeuw","year":"1993","journal-title":"J. Comput. Phys."},{"issue":"6","key":"10.1016\/S0378-4754(02)00107-6_BIB8","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1002\/nme.175.abs","article-title":"A parallel advancing front grid generation scheme","volume":"51","author":"Lohner","year":"2001","journal-title":"Int. J. Numer. Methods Eng."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB9","unstructured":"M. Delanaye, A. Patel, B. Leonard, C. Hirsch, Automatic unstructured hexahedral grid generation and flow solutions, in: ECCOMAS CFD 2001, Institution of Mathematics and its Application, Southend-on-Sea, UK, 2001."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB10","doi-asserted-by":"crossref","unstructured":"M. Berger, R. LeVeque, An Adaptive Cartesian Mesh Algorithm for the Euler Equations in Arbitrary Geometries, AIAA paper 89-1930-CP, 1989.","DOI":"10.2514\/6.1989-1930"},{"issue":"1","key":"10.1016\/S0378-4754(02)00107-6_BIB11","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/0045-7930(94)90031-0","article-title":"An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies","volume":"23","author":"Quirk","year":"1994","journal-title":"Comput. Fluids"},{"issue":"1001","key":"10.1016\/S0378-4754(02)00107-6_BIB12","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1017\/S0001924000066690","article-title":"A Cartesian cut cell method for compressible flows. Part A. Static body problems","volume":"101","author":"Yang","year":"1997","journal-title":"Aeronaut. J."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB13","doi-asserted-by":"crossref","first-page":"1121","DOI":"10.1002\/1097-0363(20000830)33:8<1121::AID-FLD45>3.0.CO;2-H","article-title":"Calculation of compressible flows about complex moving geometries using a 3D Cartesian cut cell method","volume":"33","author":"Yang","year":"2000","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"6","key":"10.1016\/S0378-4754(02)00107-6_BIB14","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1007\/PL00004049","article-title":"Cut cell stategy for 3D blast wave numerical simulation","volume":"10","author":"Cieslak","year":"2001","journal-title":"Shock Waves"},{"key":"10.1016\/S0378-4754(02)00107-6_BIB15","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1016\/S0309-1708(99)00036-6","article-title":"Calculation of shallow water flows using a Cartesian cut cell approach","volume":"23","author":"Causon","year":"2000","journal-title":"Adv. Water Resour."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB16","unstructured":"L. Qian, D. Causon, D. Ingram, C. Mingham, A Cartesian cut cell method for incompressible viscous flows, in: ECCOMAS CFD 2001, Institute of Mathematics and its Applications, Southend-on-Sea, UK, 2001."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB17","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1016\/S0307-904X(00)00005-6","article-title":"A Cartesian cut cell method for incompressible viscous flow","volume":"24","author":"Tucker","year":"2000","journal-title":"Appl. Math. Model."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB18","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1006\/jcph.1999.6356","article-title":"An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries","volume":"156","author":"Ye","year":"1999","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB19","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1006\/jcph.1996.0029","article-title":"Two dimensional front tracking based on high resolution wave propagation methods","volume":"123","author":"LeVeque","year":"1996","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB20","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1006\/jcph.1997.5805","article-title":"Multiphase dynamics in arbritary geometries on fixed Cartesian grids","volume":"137","author":"Udaykumar","year":"1997","journal-title":"J. Comput. Phys."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB21","unstructured":"M. Ivings, Wave propagation through gases and liquids, Ph.D. thesis, Department of Computing and Mathematuics, Manchester Metropolitan University, 1997."},{"issue":"1","key":"10.1016\/S0378-4754(02)00107-6_BIB22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/0905001","article-title":"On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe","volume":"5","author":"van Leer","year":"1984","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB23","doi-asserted-by":"crossref","first-page":"1593","DOI":"10.1002\/nme.1620240814","article-title":"Condif: a modified central-difference scheme for convective flows","volume":"24","author":"Runchal","year":"1987","journal-title":"Int. J. Numer. Methods Eng."},{"issue":"3","key":"10.1016\/S0378-4754(02)00107-6_BIB24","doi-asserted-by":"crossref","first-page":"353","DOI":"10.2514\/3.9273","article-title":"Euler calculations for multielement airfoils using Cartesian grids","volume":"24","author":"Clarke","year":"1986","journal-title":"AIAA J."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB25","doi-asserted-by":"crossref","unstructured":"Y. Chiang, B. van Leer, K.G. Powell, Simulation of Unsteady Inviscid Flow on an Adaptively Refined Cartesian Grid, AIAA paper 92-0443, 1992.","DOI":"10.2514\/6.1992-443"},{"issue":"1","key":"10.1016\/S0378-4754(02)00107-6_BIB26","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1137\/1025002","article-title":"On upstream differencing and Godunov-type schemes for hyperbolic conservation laws","volume":"25","author":"Harten","year":"1983","journal-title":"SIAM Rev."},{"issue":"3","key":"10.1016\/S0378-4754(02)00107-6_BIB27","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1137\/0909030","article-title":"Simplified second-order Godunov-type methods","volume":"9","author":"Davis","year":"1988","journal-title":"SIAM J. Sci. Stat. Comput."},{"issue":"6","key":"10.1016\/S0378-4754(02)00107-6_BIB28","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1080\/00221689509498555","article-title":"Experimental and numerical assessment of the shallow water model for two dimensional dam-break type problems","volume":"33","author":"Fraccarollo","year":"1995","journal-title":"J. Hydraulic Res."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB29","doi-asserted-by":"crossref","unstructured":"J. Stoker, Water Waves: The Mathematical Theory with Applications, Wiley Classics Library Edition, Wiley, New York, 1992.","DOI":"10.1002\/9781118033159"},{"key":"10.1016\/S0378-4754(02)00107-6_BIB30","doi-asserted-by":"crossref","unstructured":"D.M. Causon, D.M. Ingram, C.G. Mingham, A Cartesian cut cell method for shallow water equations with moving boundaries, Adv. Water Resour. 24 (2001) 889\u2013911.","DOI":"10.1016\/S0309-1708(01)00010-0"},{"key":"10.1016\/S0378-4754(02)00107-6_BIB31","doi-asserted-by":"crossref","first-page":"1592","DOI":"10.1137\/0729092","article-title":"Viscous shock profiles and primitive formulations","volume":"29","author":"Karni","year":"1992","journal-title":"SIAM J. Numer. Anal."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB32","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1002\/(SICI)1097-0363(19980915)28:3<395::AID-FLD718>3.0.CO;2-S","article-title":"On Riemann solvers for compressible liquids","volume":"28","author":"Ivings","year":"1998","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"3","key":"10.1016\/S0378-4754(02)00107-6_BIB33","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1080\/00221689309498834","article-title":"Computation of free surface flows","volume":"31","author":"Yang","year":"1993","journal-title":"J. Hydraulic Res."},{"issue":"3","key":"10.1016\/S0378-4754(02)00107-6_BIB34","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1680\/wame.2001.148.3.167","article-title":"A TVD MacCormack scheme for transcritical flow","volume":"148","author":"Mingham","year":"2001","journal-title":"Water Mar. Eng."},{"key":"10.1016\/S0378-4754(02)00107-6_BIB35","doi-asserted-by":"crossref","unstructured":"G. Widhopf, J. Buell, E. Schmidt, Time-Dependent Near Field Muzzle Brake Flow Simulations, AIAA paper 82-0973, 1982.","DOI":"10.2514\/6.1982-973"},{"key":"10.1016\/S0378-4754(02)00107-6_BIB36","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1017\/S0022112087002003","article-title":"Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities","volume":"181","author":"Haas","year":"1987","journal-title":"J. Fluid Mech."}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475402001076?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475402001076?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,24]],"date-time":"2023-04-24T19:57:37Z","timestamp":1682366257000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475402001076"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":36,"journal-issue":{"issue":"3-6","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["S0378475402001076"],"URL":"https:\/\/doi.org\/10.1016\/s0378-4754(02)00107-6","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}