CMPGRD

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.


References in zbMATH (referenced in 102 articles , 1 standard article )

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  1. Mazhar, Farrukh; Javed, Ali; Xing, Jing Tang; Shahzad, Aamer; Mansoor, Mohtashim; Maqsood, Adnan; Shah, Syed Irtiza Ali; Asim, Kamran: On the meshfree particle methods for fluid-structure interaction problems (2021)
  2. Balmus, Maximilian; Massing, André; Hoffman, Johan; Razavi, Reza; Nordsletten, David A.: A partition of unity approach to fluid mechanics and fluid-structure interaction (2020)
  3. Banks, Jeffrey W.; Buckner, Benjamin B.; Henshaw, William D.; Jenkinson, Michael J.; Kildishev, Alexander V.; Kovačič, Gregor; Prokopeva, Ludmila J.; Schwendeman, Donald W.: A high-order accurate scheme for Maxwell’s equations with a generalized dispersive material (GDM) model and material interfaces (2020)
  4. Deuse, Mathieu; Sandberg, Richard D.: Implementation of a stable high-order overset grid method for high-fidelity simulations (2020)
  5. Duan, Zhaowen; Wang, Z. J.: A high-order flux reconstruction method for 3D mixed overset meshes (2020)
  6. Hessenthaler, Andreas; Balmus, Maximilian; Röhrle, Oliver; Nordsletten, David: A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms (2020)
  7. Meng, F.; Banks, J. W.; Henshaw, W. D.; Schwendeman, D. W.: Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids (2020)
  8. Storti, Bruno; Garelli, Luciano; Storti, Mario; D’Elía, Jorge: A matrix-free Chimera approach based on Dirichlet-Dirichlet coupling for domain composition purposes (2020)
  9. Angel, Jordan B.; Banks, Jeffrey W.; Henshaw, William D.; Jenkinson, Michael J.; Kildishev, Alexander V.; Kovačič, Gregor; Prokopeva, Ludmila J.; Schwendeman, Donald W.: A high-order accurate scheme for Maxwell’s equations with a generalized dispersive material model (2019)
  10. Banks, Jeffrey W.; Odu, Andre Gianesini; Berger, Richard; Chapman, Thomas; Arrighi, William; Brunner, Stephan: High-order accurate conservative finite difference methods for Vlasov equations in 2D+2V (2019)
  11. Bruno, Oscar P.; Cubillos, Max; Jimenez, Edwin: Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers (2019)
  12. Merrill, Brandon E.; Peet, Yulia T.: Moving overlapping grid methodology of spectral accuracy for incompressible flow solutions around rigid bodies in motion (2019)
  13. Mikida, Cory; Klöckner, Andreas; Bodony, Daniel: Multi-rate time integration on overset meshes (2019)
  14. Wachs, Anthony: Particle-scale computational approaches to model dry and saturated granular flows of non-Brownian, non-cohesive, and non-spherical rigid bodies (2019)
  15. Angel, Jordan B.; Banks, Jeffrey W.; Henshaw, William D.: High-order upwind schemes for the wave equation on overlapping grids: Maxwell’s equations in second-order form (2018)
  16. de Laborderie, J.; Duchaine, F.; Gicquel, L.; Vermorel, O.; Wang, G.; Moreau, S.: Numerical analysis of a high-order unstructured overset grid method for compressible LES of turbomachinery (2018)
  17. Domino, Stefan P.: Design-order, non-conformal low-Mach fluid algorithms using a hybrid CVFEM/DG approach (2018)
  18. Feng, Wenqiang; Guo, Zhenlin; Lowengrub, John S.; Wise, Steven M.: A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids (2018)
  19. Tang, H. S.; Dong, W. B.; Agrawal, A.: A phenomenon of artificial odd-even grid oscillation and its presence in domain decomposition computation: algebraic analysis and numerical illustration (2018)
  20. Batty, Christopher: A cell-centred finite volume method for the Poisson problem on non-graded quadtrees with second order accurate gradients (2017)

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