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 110 articles , 1 standard article )

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  1. Bergmann, Michel; Carlino, Michele Giuliano; Iollo, Angelo: Second order ADER scheme for unsteady advection-diffusion on moving overset grids with a compact transmission condition (2022)
  2. Ålund, Oskar; Iaccarino, Gianluca; Nordström, Jan: Learning to differentiate (2021)
  3. Beznosov, Oleksii; Appelö, Daniel: Hermite-discontinuous Galerkin overset grid methods for the scalar wave equation (2021)
  4. Khokhlov, Nikolay; Favorskaya, Alena; Stetsyuk, Vladislav; Mitskovets, Ivan: Grid-characteristic method using chimera meshes for simulation of elastic waves scattering on geological fractured zones (2021)
  5. 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)
  6. Sharma, Ashesh; Ananthan, Shreyas; Sitaraman, Jayanarayanan; Thomas, Stephen; Sprague, Michael A.: Overset meshes for incompressible flows: on preserving accuracy of underlying discretizations (2021)
  7. Aarnes, Jørgen R.; Jin, Tai; Mao, Chaoli; Haugen, Nils E. L.; Luo, Kun; Andersson, Helge I.: Treatment of solid objects in the pencil code using an immersed boundary method and overset grids (2020)
  8. Balmus, Maximilian; Massing, André; Hoffman, Johan; Razavi, Reza; Nordsletten, David A.: A partition of unity approach to fluid mechanics and fluid-structure interaction (2020)
  9. 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)
  10. Deuse, Mathieu; Sandberg, Richard D.: Implementation of a stable high-order overset grid method for high-fidelity simulations (2020)
  11. Duan, Zhaowen; Wang, Z. J.: A high-order flux reconstruction method for 3D mixed overset meshes (2020)
  12. 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)
  13. 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)
  14. Storti, Bruno; Garelli, Luciano; Storti, Mario; D’Elía, Jorge: A matrix-free Chimera approach based on Dirichlet-Dirichlet coupling for domain composition purposes (2020)
  15. Vreman, A. W.: Immersed boundary and overset grid methods assessed for Stokes flow due to an oscillating sphere (2020)
  16. Aarnes, Jørgen R.; Haugen, Nils E. L.; Andersson, Helge I.: High-order overset grid method for detecting particle impaction on a cylinder in a cross flow (2019)
  17. 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)
  18. 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)
  19. Bruno, Oscar P.; Cubillos, Max; Jimenez, Edwin: Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers (2019)
  20. Merrill, Brandon E.; Peet, Yulia T.: Moving overlapping grid methodology of spectral accuracy for incompressible flow solutions around rigid bodies in motion (2019)

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