Planar potential flow on Cartesian grids
Potential flow has many applications, including the modelling of unsteady flows in aerodynamics. For these models to work efficiently, it is best to avoid Biot–Savart interactions. This work presents a grid-based treatment of potential flows in two dimensions and its use in a vortex model for simulating unsteady aerodynamic flows.
Diederik Beckers, Jeff D. Eldredge
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Anisotropic Cartesian grid adaptation
A three-dimensional anisotropic Cartesian grid adaptation method has been developed to improve computational efficiency by reducing the number of cells. The method can produce cells with unlimited aspect ratio while keeping the grid reasonably smooth. A test case of 2D supersonic flow around a cylinder shows that the number of cells is reduced to one ...
Paulus R. Lahur, Yoshiaki Nakamura
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Anisotropic Fast-Marching on cartesian grids using Lattice Basis Reduction [PDF]
We introduce a modification of the Fast Marching Algorithm, which solves the generalized eikonal equation associated to an arbitrary continuous riemannian metric, on a two or three dimensional domain.
Jean-Marie Mirebeau, Sermesant M.
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Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids [PDF]
We present a new technique for the numerical simulation of axisymmetric systems. This technique avoids the coordinate singularities which often arise when cylindrical or polar-spherical coordinate finite difference grids are used, particularly in ...
Alcubierre M. +30 more
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Homotopic Affine Transformations in the 2D Cartesian Grid
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Passat, Nicolas +3 more
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Parallel implementation of the grid-characteristic method in the case of explicit contact boundaries [PDF]
We consider an application of the Message Passing Interface (MPI) technology for parallelization of the program code which solves equation of the linear elasticity theory.
Andrey M. Ivanov +1 more
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Guiding center simulations on curvilinear grids*
Semi-Lagrangian guiding center simulations are performed on sinusoidal perturbations of cartesian grids, and on deformed polar grid with different boundary conditions.
Hamiaz Adnane +3 more
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Feature study of body-fitted Cartesian grids used in casting numerical simulation [PDF]
A type of mesh called a body-fitted Cartesian mesh, very different from the traditional structured body-fitted mesh, is established. At first, the right parallelepiped mesh is generated, then, a feature analysis is done on the cross sections. These cross
Li Ri, Wang Bin, Xiong Shoumei
doaj
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations [PDF]
We prove in this paper the convergence of the Marker and Cell (MAC) scheme for the discretization of the steady state compressible and isentropic Navier-Stokes equations on two or three-dimensional Cartesian grids.
Gallouet, Thierry +3 more
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Computation of Ice Shedding Trajectories Using Cartesian Grids, Penalization, and Level Sets
We propose to model ice shedding trajectories by an innovative paradigm that is based on cartesian grids, penalization and level sets. The use of cartesian grids bypasses the meshing issue, and penalization is an efficient alternative to explicitly ...
Héloïse Beaugendre +3 more
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