Simulating the dusty gas flow model via NHRS scheme

Abstract

We introduce some vital solutions for the dusty gas flow. Specifically, we implement the nonhomogeneous Riemann solver (NHRS) scheme in order to investigate the unsteady planar flow of an isentropic, inviscid compressible fluid in the presence of dust particles. The principle of conservation of mass, momentum, and energy governs the dynamical behavior of a fluid. The Rusanov scheme is also implemented to examine the dusty gas flow model for comparison and validation. One of the important characteristics of the NHRS technique is its capability to compute the numerical flux corresponding to the real states of solution in the absence of a Riemann solution. The numerical results exhibit that the NHRS system outperforms the Rusanov scheme and validates the ability to simulate the dusty gas flow model with strong shocks and rarefaction waves accurately. Finally, more sophisticated models in applied science can be solved using the NHRS scheme.