scholarly journals High-temperature radiation gas dynamics equations in quasi-diffusion form

1981 ◽  
pp. 1-9
Author(s):  
Vladimir Yakovlevich Gol’din ◽  
Alexander Victorovich Shilkov
Keyword(s):  
High Temperature ◽  
Gas Dynamics ◽  
Gas Dynamics Equations ◽  
Temperature Radiation ◽  
Radiation Gas Dynamics ◽  
Diffusion Form

Nonrelativistic equations of radiation gas dynamics are obtained, adapted for calculations on computers without assumptions about the distribution of photons. These equations are suitable for problems in which the processes of scattering do not prevail over the processes of emission and absorption of photons.

scholarly journals On modeling the problems of high-temperature radiation gas dynamics

1984 ◽  
pp. 1-17
Author(s):  
Vladimir Yakovlevich Gol’din ◽  
Dinamika Alekseevna Gol'dina ◽  
Andrey Vasilievich Kolpakov ◽  
Alexander Victorovich Shilkov
Keyword(s):  
High Temperature ◽  
Energy Density ◽  
Numerical Methods ◽  
Mathematical Models ◽  
Gas Dynamics ◽  
Radiation Energy ◽  
High Radiation ◽  
Radiation Energy Density ◽  
Temperature Radiation ◽  
Radiation Gas Dynamics

Mathematical models of High-Temperature Radiation Gas Dynamics (HTRGD) are considered. The possibility of instability of contact boundaries at a high radiation energy density is shown. Equations of the three-temperature approximation are consistently derived. Numerical methods for solving the problems of HTRGD are discussed.

Systematization of relaxation gas dynamics equations. A review

2010 ◽  
Vol 45 (4) ◽  
pp. 517-536
Author(s):  
V. S. Galkin ◽  
S. A. Losev
Keyword(s):  
Gas Dynamics ◽  
Gas Dynamics Equations

Comparison of the numerical and self-similar solutions of Sedov’s problem on a point explosion in gas

2020 ◽  
Vol 15 (3-4) ◽  
pp. 212-216
Author(s):  
R.Kh. Bolotnova ◽  
V.A. Korobchinskaya
Keyword(s):  
Gas Dynamics ◽  
Numerical Solutions ◽  
Similarity Theory ◽  
Compressible Medium ◽  
Initial Moment ◽  
Point Explosion ◽  
Perfect Gas ◽  
Gas Dynamics Equations ◽  
Self Similar ◽  
Similar Solutions

Comparative analysis of solutions of Sedov’s problem of a point explosion in gas for the plane case, obtained by the analytical method and using the open software package of computational fluid dynamics OpenFOAM, is carried out. A brief analysis of methods of dimensionality and similarity theory used for the analytical self-similar solution of point explosion problem in a perfect gas (nitrogen) which determined by the density of uncompressed gas, magnitude of released energy, ratio of specific heat capacities and by the index of geometry of the explosion is given. The system of one-dimensional gas dynamics equations for a perfect gas includes the laws of conservation of mass, momentum, and energy is used. It is assumed that at the initial moment of time there is a point explosion with instantaneous release of energy. Analytical self-similar solutions for the Euler and Lagrangian coordinates, mass velocity, pressure, temperature, and density in the case of plane geometry are given. The numerical simulation of considered process in sonicFoam solver of OpenFOAM package built on the PISO algorithm was performed. For numerical modeling the system of differential equations of gas dynamics is used, including the equations of continuity, Navier-Stokes motion for a compressible medium and conservation of internal energy. Initial and boundary conditions were selected in accordance with the obtained analytical solution using the setFieldsDict, blockMeshDict, and uniformFixedValue utilities. The obtained analytical and numerical solutions have a satisfactory agreement.

Sign in / Sign up

Export Citation Format

Share Document