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Cartesian Grid Mapper: Transformation Media for Modeling Arbitrary Curved Boundaries With Cartesian Grids

IEEE Antennas and Wireless Propagation Letters, 2014
A transformation electromagnetics-based approach is presented to facilitate the use of fixed Cartesian grids for modeling arbitrarily shaped (convex or nonconvex) curved boundaries in finite methods. The basic idea is to design transformation media adapted to the Cartesian grid by using the duality between the material parameters of the media and the ...
Ozlem Ozgun, Mustafa Kuzuoglu
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Solution of the Euler equations on Cartesian grids

Applied Numerical Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

CUDA Implementation of a Euler Solver for Cartesian Grid

2013 IEEE 10th International Conference on High Performance Computing and Communications & 2013 IEEE International Conference on Embedded and Ubiquitous Computing, 2013
Based on the features of GPU architecture, this paper introduces CUDA into an existing Euler solver software for a 3-D Cartesian grid. Theories and Techniques used to solve the equations with finite volume methods using an explicit scheme are described. Two versions of GPU-based Cart Solver are implemented and optimized.
Yang Liu 0087, Yufei Pang, Bo Chen, Hanshan Xiao, Hanli Bai   +4 more
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A Cartesian Grid Method with Transient Anisotropic Adaptation

Journal of Computational Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ham, F. E., Lien, F. S., Strong, A. B.
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A hybrid Cartesian grid and gridless method for compressible flows

Journal of Computational Physics, 2005
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Hong Luo, Joseph D. Baum, Rainald Löhner   +2 more
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Nonet-Cartesian Grid Method for Shock Flow Computations

Journal of Scientific Computing, 2004
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Ke Li, Zi-Niu Wu
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FDTD in Cartesian and Spherical Grids

2018
The numerical dispersion relation is derived for the finite-difference time-domain method when implemented on spherical grids using Maxwell’s equations in spherical coordinates. Derivation is appropriately based on elementary spherical functions which renders the resulting numerical dispersion relation valid for all spherical FDTD space including near ...
Mohammed Hadi, Atef Elsherbeni, Ravi Bollimuntha, Melinda Piket-May   +3 more
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Airfoil Calculations in Cartesian Grids

1989
A technique to compute two-dimensional flows on Cartesian grids in the presence of bodies of arbitrary shape is presented. The basic technique is patterned on the A-scheme and shock-fitting procedures. The special handling of boundary conditions on rigid bodies is described in detail. A description of the application of the technique to the calculation
Gino Moretti, Andrea Dadone
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Grid embedding technique using Cartesian grids for Euler solutions

AIAA Journal, 1988
Grid-embedding techniques are presently applied to the solutions of the Euler equations on Cartesian grids for the NACA 0012 airfoil and the multielement SKF1.1 airfoil at transonic speeds. Based on comparisons with solutions on fine grids, it is shown that the present scheme, when used in conjunction with the Runge-Kutta time-stepping scheme as well ...
R. A. Mitcheltree, M. D. Salas, H. A. Hassan   +2 more
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Topology preserving advection of implicit interfaces on Cartesian grids

Journal of Computational Physics, 2015
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Zhipeng Qin, Keegan Delaney, Amir Riaz, Elias Balaras   +3 more
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