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Coordinates for molecular dynamics: Orthogonal local systems
The Journal of Chemical Physics, 1986Systems of orthogonal coordinates for the problem of the motion of three or more particles in classical or in quantum mechanics are considered from the viewpoint of applications to intramolecular dynamics and chemical kinetics. These systems, for which the kinetic energy of relative motion is diagonal, are generated by making extensive use of the ...
AQUILANTI, Vincenzo, CAVALLI, Simonetta
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Generation of orthogonal and nearly orthogonal coordinates with gridcontrol near boundaries
AIAA Journal, 1982A NUMERICAL procedure is presented for the generation of boundary-fitted curvilinear coordinates with controllable mesh spacing and orthogonality. The technique is based on a straightforward two-step procedure involving the solution of Poisson's equation.
Visbal, M., Knight, D.
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The construction of discrete orthogonal coordinates
Journal of Computational Physics, 1973Abstract An orthogonalization procedure for the transformation of finite nonorthogonal coordinates to an equivalent finite set of orthogonal coordinates is described. The procedure involves the direct solution of a series of ‘exact’ matrix equations and is independent of the amount of shear or nonorthogonality of the original coordinates.
Potter, David E., Tuttle, G. H.
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Micropulsations and orthogonal curvilinear coordinates
Planetary and Space Science, 1979Abstract The theory of torsional hydromagnetic oscillations of the magnetosphere is usually cast in terms of orthogonal curvilinear coordinates. For a general magnetic field B with potential Ω it is shown that no coordinates exist in which a suitable solution may be found unless the Alfven velocity VA, together with B and Ω satisfy certain functional
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Orthogonal generalized Jacobi coordinates for N-body systems
Computer Physics Communications, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Davie, K., Wallace, R.
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Determine turntable coordinate system considering its non-orthogonality
Review of Scientific Instruments, 2019In industrial measurement and laboratory research, many measured objects are placed on the three-axis turntable. In this paper, we propose a fast and practical method to determine the turntable coordinate system with the aid of spatial coordinate of point cloud data. By sphere fitting, plane fitting, and point projection, the scattered point cloud data
Xiaoting Guo +5 more
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The operator ∇ in orthogonal curvilinear coordinates
European Journal of Physics, 2001It is possible to define a single expression for the operator ? in orthogonal curvilinear coordinates that can fit all common differential operators and vectorial identities.
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Click and Bio-Orthogonal Reactions with Mesoionic Compounds
Chemical Reviews, 2021Margaux Riomet +2 more
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K��hler manifolds with orthogonal coordinates
2019The arguments in this manuscript depended upon a formula in another manuscript in arXive, which contained an ...
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Circulation Modelling using Orthogonal Curvilinear Coordinates
1987Abstract A numerical estuarine and coastal ocean circulation model is developed in orthogonal curvilinear coordinates. The governing equations consist of the equation of continuity, the three components of momentum and conservation equations for thermal energy and salt.
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