Abstract:
We consider the so-called four-equation model for dynamics of the heterogeneous compressible binary mixtures with the Noble-Abel stiffened-gas equations of state. We exploit its quasi-homogeneous form arising after excluding the volume concentrations from the sought functions and based on a quadratic equation for the common pressure of the components. We present new properties of this equation and a simple formula for the squared speed of sound, suggest an alternative derivation for a formula relating it to the squared Wood speed of sound and state the pressure balance equation. For the first time, we give quasi-gasdynamic-type regularization of the heterogeneous model (in the quasi-homogeneous form), construct explicit two-level in time and symmetric three point in space finite-difference scheme without limiters to implement it in the 1D case and present numerical results.
Keywords:gas dynamics, heterogeneous binary gas mixture, four-equation model, Noble-Abel stiffened-gas, quasi-gasdynamic regularization, explicit in time and symmetric in space scheme.
UDC:
519.634:517.956.35
Presented:B. N. Chetverushkin Received: 12.05.2023 Revised: 16.08.2023 Accepted: 21.09.2023