Capabilities of a quasi-gasdynamic algorithm as applied to inviscid gas flow simulation

Regularized shallow water equations and a new method of numerical simulation of the open channel flows

“…Following the numerical method for QGD equations, e.g., [7][8][9][10], the numerical algorithm for RSW Eqs. (32)-(35) use a finitevolume approach with central-difference approximation for all fluxes included in the system.…”

“…The new form of the shallow water system is closely related with a regularization of the Navier-Stokes equation system, namely quasi gas dynamic (QGD) equations. The theory and applications of QGD systems can be found in e.g., [7] and [8][9][10].…”

Smoothed MHD equations for numerical simulations of ideal quasi-neutral gas dynamic flows

“…This must be taken into account, but this is a common issue for all numerical methods. In special cases the additional tuning of numerical coefficients Sc and Pr improves a numerical solution compared with the base results [18]. The influence of Sc on the numerical solution of MHD problems is demonstrated below in test case 6.2.…”

“…The applicability of the QGD algorithm was demonstrated in [18], for example, where stability and accuracy are studied numerically for 10 classical Riemann test problems. The results revealed that the numerical solution monotonically converges to a self-similar one as the spatial grid is refined.…”

Verification of an Entropy Dissipative QGD-Scheme

“…Below we consider five tests which are versions of this problem and reflect different situations in the arising flows. The tests 1-4 are well-known in the literature [4,5,9,12,16], and test 5 has recently been proposed to us by M.V. Kraposhin.…”