The hodograph method in fluid-dynamics in the light of variational inequalities

1976 ◽  
pp. 239-257
Author(s):  
Haīm Brezis ◽  
Guido Stampacchia
Keyword(s):  
Fluid Dynamics ◽  
Variational Inequalities ◽  
Hodograph Method

scholarly journals A Direct Method of using the Hodograph Plane in Fluid Dynamics

1958 ◽  
Vol 11 (2) ◽  
pp. 107-114
Author(s):  
A. G. Mackie
Keyword(s):  
Fluid Dynamics ◽  
Fixed Point ◽  
Differential Equations ◽  
Direct Method ◽  
Rectilinear Motion ◽  
Hodograph Method ◽  
Independent Variables ◽  
Underlying Principle ◽  
Hodograph Plane ◽  
A Direct Method

The application of the hodograph method in problems in fluid dynamics dates back to the time of Helmholtz and Kirchhoff. The underlying principle is simple. It is in effect to rewrite the governing differential equations with the roles of the original dependent and independent variables reversed. Such a procedure is not uncommon in problems depending upon ordinary differential equations. For example, if the velocity of a particle in rectilinear motion is prescribed as a function of distance from a fixed point, the problem of finding the relation between its position and the time t can be solved by one quadrature if t is regarded as the dependent variable.

An Introduction to Fluid Dynamics

2000 ◽  
Author(s):  
G. K. Batchelor
Keyword(s):  
Fluid Dynamics

A First Course in Fluid Dynamics

1983 ◽  
Author(s):  
A. R. Paterson
Keyword(s):  
Fluid Dynamics
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