Mathematical Sciences
heat
account
direction
force
characteristic equation
one-velocity model
internal forces
one-dimensional unsteady adiabatic flow
adiabatic flow
flow
mixture
heterogeneous media
relation
article
allowance
characteristic directions
2008-06-22
2022-12-01T06:26
medium
interfractional interaction
equations
articles
model
mass exchange
exchange
interaction forces
shock adiabat
false
model equations
2008-06-22
https://scigraph.springernature.com/explorer/license/
https://doi.org/10.1134/s0965542508060146
scheme
finite volume scheme
1048-1062
adiabat
The one-velocity model equations for a heterogeneous medium are presented that take into account the internal forces of interfractional interactions and heat and mass exchange. The shock adiabat obtained for the mixture agrees with the one-velocity model equations. For one-dimensional unsteady adiabatic flows, the characteristic equations are found and relations along characteristic directions are determined. It is shown that the model equations with allowance for interfractional interaction forces are hyperbolic. Several finite-difference and finite-volume schemes designed for integrating the model equations are discussed.
interaction
kernel
One-velocity model of a heterogeneous medium with a hyperbolic adiabatic kernel
Computational Mathematics and Mathematical Physics
0965-5425
Pleiades Publishing
1555-6662
pub.1046591011
dimensions_id
doi
10.1134/s0965542508060146
Applied Mathematics
48
Chelyabinsk State University, ul. Brat’ev Kashirinykh 129, 454021, Chelyabinsk, Russia
Chelyabinsk State University, ul. Brat’ev Kashirinykh 129, 454021, Chelyabinsk, Russia
Numerical and Computational Mathematics
Surov
V. S.
6
Mathematical Physics
Springer Nature - SN SciGraph project