TY - JOUR
T1 - On the Computations of Gas-Solid Mixture Two-Phase Flow
AU - Zeidan , D.
AU - Touma , R.
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 49
EP - 74
PY - 2014
DA - 2014/06
SN - 6
DO - http://doi.org/10.4208/aamm.12-m1282
UR - https://global-sci.org/intro/article_detail/aamm/4.html
KW - Hyperbolic conservative equations, two-phase flows, compressible gas-solid, mixture conservation laws, approximate Riemann solver, upwind Godunov methods, numerical simulation.
AB - <p style="text-align: justify;">This paper presents high-resolution computations of a two-phase gas-solid mixture
using a well-defined mathematical model. The HLL Riemann solver is applied to
solve the Riemann problem for the model equations. This solution is then employed
in the construction of upwind Godunov methods to solve the general
initial-boundary value problem for the two-phase gas-solid mixture. Several
representative test cases have been carried out and numerical solutions are
provided in comparison with existing numerical results. To demonstrate the
robustness, effectiveness and capability of these methods, the model results
are compared with reference solutions. In addition to that, these results are
compared with the results of other simulations carried out for the same set of
test cases using other numerical methods available in the literature. The diverse
comparisons demonstrate that both the model equations and the numerical methods
are clear in mathematical and physical concepts for two-phase fluid flow problems.</p>