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.
Keywords for this software
References in zbMATH (referenced in 92 articles , 1 standard article )
Showing results 1 to 20 of 92.
Sorted by year (- Balmus, Maximilian; Massing, André; Hoffman, Johan; Razavi, Reza; Nordsletten, David A.: A partition of unity approach to fluid mechanics and fluid-structure interaction (2020)
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- 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)
- 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)
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- 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)
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- Meng, F.; Banks, J. W.; Henshaw, W. D.; Schwendeman, D. W.: A stable and accurate partitioned algorithm for conjugate heat transfer (2017)
- Allen, T.; Zerroukat, M.: A deep non-hydrostatic compressible atmospheric model on a Yin-Yang grid (2016)
- Banks, J. W.; Henshaw, W. D.; Kapila, A. K.; Schwendeman, D. W.: An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids (2016)
- Hayashi, Hiroshi; Kageyama, Akira: Yin-Yang-Zhong grid: an overset grid system for a sphere (2016)
- Kozdon, Jeremy E.; Wilcox, Lucas C.: Stable coupling of nonconforming, high-order finite difference methods (2016)
- Li, L.; Henshaw, W. D.; Banks, J. W.; Schwendeman, D. W.; Main, A.: A stable partitioned FSI algorithm for incompressible flow and deforming beams (2016)
- Lu, Jianfang; Fang, Jinwei; Tan, Sirui; Shu, Chi-Wang; Zhang, Mengping: Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations (2016)