Geodesic
Nonlinear Processes in Safety Systems for Substances
Russian journal of nonlinear dynamics, Tome 17 (2021) no. 1, pp. 119-138

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper presents a modification of the digital method by S. K. Godunov for calculating real gas flows under conditions close to a critical state. The method is generalized to the case of the Van der Waals equation of state using the local approximation algorithm. Test calculations of flows in a shock tube have shown the validity of this approach for the mathematical description of gas-dynamic processes in real gases with shock waves and contact discontinuity both in areas with classical and nonclassical behavior patterns. The modified digital scheme by Godunov with local approximation of the Van der Waals equation by a two-term equation of state was used for simulating a spatial flow of real gas based on Navier – Stokes equations in the area of a complex shape, which is characteristic of the internal space of a safety valve. We have demonstrated that, under near-critical conditions, areas of nonclassical gas behavior may appear, which affects the nature of flows. We have studied nonlinear processes in a safety valve arising from the movement of the shut-off element, which are also determined by the device design features and the gas flow conditions.
Keywords: real gas, Van der Waals equation, critical state of substance, Godunov’s method. 
@article{ND_2021_17_1_a8,
     author = {T. Raeder and V. A. Tenenev and M. R. Koroleva and O. V. Mishchenkova},
     title = {Nonlinear {Processes} in {Safety} {Systems} for {Substances}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {119--138},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2021_17_1_a8/}
}
TY  - JOUR
AU  - T. Raeder
AU  - V. A. Tenenev
AU  - M. R. Koroleva
AU  - O. V. Mishchenkova
TI  - Nonlinear Processes in Safety Systems for Substances
JO  - Russian journal of nonlinear dynamics
PY  - 2021
SP  - 119
EP  - 138
VL  - 17
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2021_17_1_a8/
LA  - en
ID  - ND_2021_17_1_a8
ER  - 
%0 Journal Article
%A T. Raeder
%A V. A. Tenenev
%A M. R. Koroleva
%A O. V. Mishchenkova
%T Nonlinear Processes in Safety Systems for Substances
%J Russian journal of nonlinear dynamics
%D 2021
%P 119-138
%V 17
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2021_17_1_a8/
%G en
%F ND_2021_17_1_a8
T. Raeder; V. A. Tenenev; M. R. Koroleva; O. V. Mishchenkova. Nonlinear Processes in Safety Systems for Substances. Russian journal of nonlinear dynamics, Tome 17 (2021) no. 1, pp. 119-138. http://geodesic.mathdoc.fr/item/ND_2021_17_1_a8/