CMPGRD 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 Related Software: Ogen; OVERFLOW; Overture; PETSc; SUGGAR++; HLLE; SHASTA; Gerris; PARAMESH; Chombo; GitHub; SUGGAR; chammp; CHeart; OBBTree; PHYSALIS; FronTier; p4est; Trilinos; hypre Cited in: 120 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Composite overlapping meshes for the solution of partial differential equations. Zbl 0709.65090Chesshire, G.; Henshaw, W. D. 1990 all top 5 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 all top 5 Cited in 21 Serials 70 Journal of Computational Physics 11 Computers and Fluids 6 Computer Methods in Applied Mechanics and Engineering 4 Journal of Computational and Applied Mathematics 4 Communications in Computational Physics 3 Geophysical and Astrophysical Fluid Dynamics 3 Mathematics of Computation 3 SIAM Journal on Scientific Computing 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 International Journal of Computational Fluid Dynamics 1 Acta Mechanica 1 Computers & Mathematics with Applications 1 Journal of Fluid Mechanics 1 BIT 1 Mathematics and Computers in Simulation 1 Mathematical and Computer Modelling 1 Applied Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 11 Fields 84 Fluid mechanics (76-XX) 82 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year