swMATH ID: 24156
Software Authors: Chesshire, G.; Henshaw, W.D.
Description: Composite overlapping meshes for the solution of partial differential equations. It is shown how to generate curvilinear overlapping grids and the numerical solution of partial differential equations on them. First, an overview of grid generation methods is presented. After defining the composite overlapping grid term, it is explained that the continuity conditions are imposed at the overlapping boundaries. For creating a composite grid with any number of component grids, the grid construction program CMPGRD is used. An analysis of the composite grid output and data structure is also presented. Some techniques for solving elliptic and time-dependent partial differential equations on composite meshes are shown. Applications to the solution of the compressible Navier-Stokes equations are discussed. Numerical accuracy, efficiency and the numerical solution are analyzed too together with some conclusions.
Homepage: https://www.sciencedirect.com/science/article/pii/0021999190901968
Keywords: composite overlapping mesh; curvilinear overlapping grids; continuity conditions; grid construction program CMPGRD; compressible Navier-Stokes equations
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Cited in: 120 Publications
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Cited by 234 Authors

22 Henshaw, William D.
16 Banks, Jeffrey W.
15 Schwendeman, Donald William
5 Petersson, N. Anders
4 Wu, Ziniu
3 Appelö, Daniel
3 Kildishev, Alexander V.
3 Kovačič, Gregor
3 Prokopeva, Ludmila J.
3 Sjogreen, Bjorn
2 Aarnes, Jørgen R.
2 Andersson, Helge I.
2 Angel, Jordan B.
2 Balmus, Maximilian
2 Bergmann, Michel
2 Bodony, Daniel J.
2 Borazjani, Iman
2 Bruno, Oscar P.
2 Carlino, Michele Giuliano
2 Duchaine, Florent
2 Gicquel, Laurent Yves Marcel
2 Groth, Clinton P. T.
2 Haugen, Nils Erland L.
2 Iollo, Angelo
2 Jenkinson, Michael J.
2 Kapila, Ashwani Kumar
2 Merrill, Brandon E.
2 Moreau, Stéphane
2 Nordsletten, David A.
2 Nordström, Jan
2 Peet, Yulia T.
2 Rossmanith, James A.
2 Shu, Chi-Wang
2 Sitaraman, Jayanarayanan
2 Sotiropoulos, Fotis
2 Vreman, A. W.
2 Wang, Gaofeng
2 Wu, Cheng-Chin
2 Zerroukat, Mohamed
2 Zheng, Yao
1 Akbarzadeh, Amir M.
1 Ålund, Oskar
1 Ananthan, Shreyas
1 Armfield, Steven William
1 Arrighi, William J.
1 Asim, Kamran
1 Batty, Christopher
1 Berger, Richard
1 Berthelsen, Petter Andreas
1 Beznosov, Oleksii
1 Bindolino, Giampiero
1 Bochev, Pavel B.
1 Brown, David Leslie
1 Brunner, Stephan
1 Buckner, Benjamin Brett
1 Buning, Pieter G.
1 Burton, Tristan M.
1 Carpenter, Mark H.
1 Chan, William M.
1 Chand, Kyle K.
1 Chapman, Thomas
1 Chen, Jianjun
1 Cheng, Hongwei
1 Chesshire, G.
1 Colella, Phillip
1 Cubillos, Max
1 de Laborderie, J.
1 D’elía, Jorge
1 Desquesnes, Guillaume
1 Deuse, Mathieu
1 Di Mascio, Andrea
1 Doescher, Erwin
1 Domino, Stefan P.
1 Dong, Wenbin
1 Drikakis, Dimitris
1 Driscoll, Tobin A.
1 Duan, Zhaowen
1 Duran, Ignacio
1 Eaton, John K.
1 English, R. Elliot
1 Engquist, Bjorn E.
1 Fang, Jinwei
1 Fast, Petri
1 Faucher, Vincent
1 Favorskaya, Alena V.
1 Fedkiw, Ronald P.
1 Feng, Wenqiang
1 Fischer, Paul F.
1 Floros, Matthew W.
1 Fornberg, Bengt
1 Fréret, Lucie
1 Fries, Thomas-Peter
1 Gao, Bo
1 Gao, Xinfeng
1 Garelli, Luciano
1 Ge, Liang
1 Gottlieb, David I.
1 Guardone, Alberto
1 Guo, Zhenlin
1 Gustafsson, Bertil
...and 134 more Authors

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