Vector representation of the movement of a body or fluid
A hodograph is a diagram that gives a vectorial visual representation of the movement of a body or a fluid. It is the locus of one end of a variable vector, with the other end fixed.[1] The position of any plotted data on such a diagram is proportional to the velocity of the moving particle.[2] It is also called a velocity diagram. It appears to have been used by James Bradley, but its practical development is mainly from Sir William Rowan Hamilton, who published an account of it in the Proceedings of the Royal Irish Academy in 1846.[2]
Hodograph plot of upper air winds from radiosonde
^"AMS Glossary of Meteorology : Hodograph". Archived from the original on 2007-08-17. Retrieved 2007-05-30.
^ abChisholm, Hugh, ed. (1911). "Hodograph" . Encyclopædia Britannica. Vol. 13 (11th ed.). Cambridge University Press. p. 558.
A hodograph is a diagram that gives a vectorial visual representation of the movement of a body or a fluid. It is the locus of one end of a variable vector...
used to circumvent the nonlinearity of transonic flow models was the hodograph transformation. This concept was originally explored in 1923 by an Italian...
sometimes not following the path of the cells that compose it. The typical hodograph, plot of the wind versus altitude, associated with it shows a linear wind...
amounts of ambient crosswise vorticity, as characterized by a straight hodograph, produces similarly strong left and right movers. Storm splits also occur...
Hodograph plot of wind vectors at various heights in the troposphere. Meteorologists can use this plot to evaluate vertical wind shear in weather forecasting...
on fluctuating functions in Fourier analysis, and the invention of the hodograph. Of his investigations into the solutions, especially by numerical approximation...
parallel curve has to be solvable. Such curves are called pythagorean hodograph curves and were investigated by R.T. Farouki. Generally the analytic representation...
waves are also defined by the behavior that all the characteristics under hodograph transformation collapses into a single curve. This means that the Jacobian...
graphical representation of the Rankine–Hugoniot equations in either the hodograph plane or the pressure ratio-flow deflection angle plane. The polar itself...
ISBN 978-0-8218-0907-5. Farouki, Rida T. (2007). "Chapter 5: Quaternions". Pythagorean-hodograph curves: algebra and geometry inseparable. Springer. p. 60 ff. ISBN 978-3-540-73397-3...
Farouki, Rida T (Jan 1999). "G codes for the specification of Pythagorean-hodograph tool paths and associated feedrate functions on open-architecture CNC...
k=1,...,N.} The solution of this system can be given by the generalized hodograph method. Consider the one-dimensional Euler equations written in terms...
which could be interpreted with even greater flexibility. In 1959, with Hodograph I, Brown sketched the contour and character abstractly in what he called...
height in the lowest 1 km was noted --resulting in some enlargement to the hodograph-- considerable backing of flow in the 750-500 mb layer would tend to be...
will describe the shape of the generating circle. Cavalieri's principle Hodograph – This is a related construct that maps the velocity of a point using...
beginning with the 2008–09 winter storm season. helicity high-pressure area hodograph A vectorial visual representation of the movement of a body or a fluid...
and organ Oliver Cromwell, for unison voices and piano Earle Brown – Hodograph I, for flute, piano + celesta, and percussion Alan Bush – Dorian Passacaglia...
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