Numerical solution of the forward one-dimensional problem of critical flow in nozzles

1981 ◽  
Vol 40 (3) ◽  
pp. 260-263
Author(s):  
V. V. Nevinskii ◽  
V. I. Rozenblyum ◽  
M. I. Savel'ev
Keyword(s):  
Numerical Solution ◽  
Critical Flow ◽  
Dimensional Problem ◽  
One Dimensional

Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space

2014 ◽  
Vol 84 (9-11) ◽  
pp. 1501-1515 ◽  
Author(s):  
W. Mahmoud ◽  
A. F. Ghaleb ◽  
E. K. Rawy ◽  
H. A. Z. Hassan ◽  
A. A. Mosharafa
Keyword(s):  
Numerical Solution ◽  
Half Space ◽  
Heat Supply ◽  
Dimensional Problem ◽  
Volume Force ◽  
One Dimensional

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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