Results 261 to 270 of about 354,492 (314)

Track Fusion and Behavioral Reasoning for Moving Vehicles Based on Curvilinear Coordinates of Roadway Geometries

IEEE transactions on intelligent transportation systems (Print), 2018
This paper presents track fusion and behavioral reasoning for moving vehicles in close proximity based on the curvilinear coordinates of roadway geometries.
K. Jo, Minchul Lee, M. Sunwoo
semanticscholar   +1 more source

Simulation of three‐dimensional incompressible flows in generalized curvilinear coordinates using a high‐order compact finite‐difference lattice Boltzmann method

International Journal for Numerical Methods in Fluids, 2018
In the present study, a high‐order compact finite‐difference lattice Boltzmann method is applied for accurately computing 3‐D incompressible flows in the generalized curvilinear coordinates to handle practical and realistic geometries with curved ...
E. Ezzatneshan, K. Hejranfar
semanticscholar   +1 more source

ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES

Mathematical Models and Methods in Applied Sciences, 2001
We show how the inequality of Korn's type on a surface can be established as a corollary to the three-dimensional Korn inequality in curvilinear coordinates. The proof relies in particular on a careful study of the linearized Kirchhoff–Love displacement fields inside a "shell-like" body.
Ciarlet, Philippe G., Mardare, Sorin
openaire   +1 more source

Curvilinear Coordinates

Abstract Discusses general coordinates for 3D space, and the geometry of coordinate curves and surfaces. Introduces Jacobian matrices and determinants, tangents and normals bases, that become the covariant and contravariant bases. Formula specific to general orthogonal coordinates are also derived.
openaire   +2 more sources

ORTHOGONAL CURVILINEAR COORDINATES

Self-Exciting Fluid Dynamos, 2006
Phyllis R. Nelson
openaire   +2 more sources

Generalised Curvilinear Coordinates

1992
The computation of flowfields in and around complex shapes such as ducts, engine intakes, complete aircraft or automobiles, etc., involves computational boundaries that do not coincide with coordinate lines in physical space. For finite difference methods, the imposition of boundary conditions for such problems has required a complicated interpolation ...
Karkenahalli Srinivas, Clive A. J. Fletcher   +1 more
openaire   +1 more source

Quantization in curvilinear coordinates

International Journal of Theoretical Physics, 1990
Two prescriptions often used to find Hermitian operators corresponding to classical quantities can be removed. Components of momentum are of three types, linear momentumP〈q〉k canonical momentumP(q)k and generalized momentumPqk. Using metrical geometry, their mutual relations are established. The operatorsP〈q〉k andP(q)k are given by substituting quantum
Lee Ting Hsang, An Chong Shan, Zhai Tian Yi   +2 more
openaire   +1 more source

Hydrodynamics in curvilinear coordinates

Acta Physica Hungarica, 1987
We consider the hydrodynamics in curvilinear comoving coordinates and present the equations governing the motion of a fluid with viscosity (and, in part, with heat conductivity). The underlying symmetry is spherical or planar. The Lagrangian form of the equations is suitable for numerically treating such problems as stellar collapse, neutron star ...
B. Kämpfer, B. Lukács
openaire   +1 more source

Curvilinear Coordinate Systems

1989
If three single-valued scalar point functions u, v and w are defined throughout a region of space R, and have level surfaces (u = constant, v = constant, w = constant) which nowhere meet in a common curve or coincide, then we may associate with each point of R a triplet of values known as its curvilinear coordinates.
openaire   +1 more source

Curvilinear Coordinate Systems

1993
Shells involve thin walled elastic bodies wherein one dimension is considerably smaller than the other two, but in which the midsurface is curved in at least one direction. Thus, to describe a shell succinctly, curvilinear coordinates must be employed. This causes considerable complications in the mathematical descriptions and operations, not existing ...
openaire   +1 more source