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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   +2 more
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A uniformly stable conformal FDTD‐method in Cartesian grids

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2003
AbstractA conformal finite‐difference time‐domain algorithm for the solution of electrodynamic problems in general perfectly conducting 3D geometries is presented. Unlike previous conformal approaches it has the second‐order convergence without the need to reduce the maximal stable time step of conventional staircase approach.
Zagorodnov, I. A.   +2 more
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An adaptive Cartesian grid generation method for ‘Dirty’ geometry

International Journal for Numerical Methods in Fluids, 2002
AbstractTraditional structured and unstructured grid generation methods need a ‘water‐tight’ boundary surface grid to start. Therefore, these methods are named boundary to interior (B2I) approaches. Although these methods have achieved great success in fluid flow simulations, the grid generation process can still be very time consuming if ‘non‐water ...
Wang, Z. J., Srinivasan, Kumar
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Topology preserving advection of implicit interfaces on Cartesian grids

Journal of Computational Physics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhipeng Qin   +3 more
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LES on Cartesian Grids with Anisotropic Refinement

2007
Cartesian grids with local anisotropic adaptation are combined with an Immersed Boundary (IB) method and used to perform large eddy simulations. The approach used to generate Cartesian grids with desired normal and tangential resolution to three-dimensional surfaces is described.
Gianluca Iaccarino, Frank Ham
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A Hybrid Grid Generation Using Unstructured Prismatic and Cartesian Grids

41st Aerospace Sciences Meeting and Exhibit, 2003
A hybrid gri d generation method based on prismatic and Cartesian grid is being developed. The main objective is to generate grid around c omplicated geometry for compressible and viscou s flow simulation , especially that with high Reynolds number . The method is based on unstructured grid, which treats cells as arbitrary, unstructured polyhedra.
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A weakly-compressible Cartesian grid approach for hydrodynamic flows

Computer Physics Communications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Bigay   +3 more
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Cartesian Grid Methods for Moving Geometries

2006
Abstract : Many classes of physical problem can be models through the use of sets of linear equations. The solution of the sets of equations is equivalent to calculation ova matrix inverse or generalized inverse, or to the reduction of the matrix to some type of canonical form, including determination of characteristic equation.
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The LIR Space Partitioning System Applied to Cartesian Grids

2014
We introduce a novel multi-dimensional space partitioning method. A new type of tree combines the advantages of the Octree and the KD-tree without having their disadvantages. We present in this paper a new data structure allowing local refinement, parallelization and proper restriction of transition ratios between cells.
Sven Linden   +2 more
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Trajectory Calculations for Spherical Geodesic Grids in Cartesian Space

Monthly Weather Review, 1999
Abstract This paper shows how to obtain accurate and efficient trajectory calculations for spherical geodesic grids in Cartesian space. Determination of the departure points is essential to characteristic-based methods that trace the value of a function to the foot of the characteristics and then either integrate or interpolate at this location.
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