Geodesic
Analysis of the efficiency of numerical dissipation regulation in computer modeling of gas and gas suspension dynamics
Numerical methods and programming, Tome 25 (2024) no. 4, pp. 441-452.

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The work is devoted to studying the dissipative properties of the hybrid large-particle method of the second order of approximation. The regularization of the numerical solution is provided in two ways: nonlinear correction of artificial viscosity (at the Eulerian stage) and hybrid approximation of spatial derivatives through various nonlinear restrictive functions (at the Lagrangian stage). The dissipative properties of the method are demonstrated by the example of the Sod problem, its modification with the reflection of the shock wave from the wall. The flow of a gas suspension during the decay of an arbitrary discontinuity with a small initial pressure ratio at various Stokes numbers has been studied. Numerical solutions are compared with asymptotically exact solutions.
Keywords: computer technology, hybrid large-particle method, dissipative properties. 
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     title = {Analysis of the efficiency of numerical dissipation regulation in computer modeling of gas and gas suspension dynamics},
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E. N. Shirokova; D. V. Sadin. Analysis of the efficiency of numerical dissipation regulation in computer modeling of gas and gas suspension dynamics. Numerical methods and programming, Tome 25 (2024) no. 4, pp. 441-452. http://geodesic.mathdoc.fr/item/VMP_2024_25_4_a4/