A two-dimensional problem of unsteady flow of an ideal incompressible fluid across a given domain

1966 ◽  
pp. 277-304 ◽  
Author(s):  
V. I. Judovič
Keyword(s):  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Ideal Incompressible Fluid ◽  
Two Dimensional ◽  
Dimensional Problem

Experimental studies on the motion of a flexible hydrofoil

1964 ◽  
Vol 19 (1) ◽  
pp. 30-48 ◽  
Author(s):  
H. R. Kelly ◽  
A. W. Rentz ◽  
J. Siekmann
Keyword(s):  
Error Analysis ◽  
Incompressible Fluid ◽  
Experimental Verification ◽  
Experimental Studies ◽  
Ideal Incompressible Fluid ◽  
Two Dimensional ◽  
Typical Data

A thin, flexible hydrofoil has been used as a model to simulate the swimming of a two-dimensional fish in an ideal, incompressible fluid, as treated in recent theoretical papers. The apparatus is described in some detail and typical data are compared with the predictions of theory. An error analysis is given, showing that, within the expected errors and limits of validity of theory, experimental verification of theory is very good.

Optimal shape of slowly rising gas bubbles

2005 ◽  
Vol 83 (7) ◽  
pp. 761-766
Author(s):  
Alexei M Frolov
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Incompressible Fluid ◽  
Three Dimensional ◽  
Gas Bubbles ◽  
Ideal Incompressible Fluid ◽  
Optimal Shape ◽  
Dimensional Problem ◽  
Optimal Form ◽  
One Dimensional

The variational optimal shape of slowly rising gas bubbles in an ideal incompressible fluid is determined. It is shown that the original three-dimensional problem can be reduced to a relatively simple one-dimensional (i.e., ordinary) differential equation. The solution of this equation allows one to obtain the variational optimal form of slowly rising gas bubbles. PACS No.: 47.55.Dz

Modifications of the Godunov method for computing disturbance propagation in an elastic body

2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina
Keyword(s):  
Elastic Body ◽  
Godunov Method ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Order Accuracy ◽  
One Dimensional ◽  
Disturbance Propagation ◽  
Linear Waves ◽  
Longitudinal And Shear Waves ◽  
Contact Discontinuities

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.

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