## Menu

## Publications

## Editor-in-Chief

**Nikiforov**

Vladimir O.

D.Sc., Prof.

Vladimir O.

D.Sc., Prof.

## Partners

DOI: 10.17586/2226-1494-2017-17-4-719-724

DOI: 10.17586/2226-1494-2017-17-4-719-724

## COMPARISON OF DIFFERENCE SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AND WENO SCHEME IN THE CASE OF ONE-DIMENSIONAL GAS AND GAS-PARTICLE DYNAMICS PROBLEMS

**Read the full article**

**Article in**Russian

**For citation:**Sadin D.V., Odoev S.A. Comparison of difference scheme with customizable dissipative properties and WENO scheme in the case of one-dimensional gas and gas-particle dynamics problems.

*Scientific and Technical Journal of Information Technologies, Mechanics and Optics*, 2017, vol. 17, no. 4, pp. 719–724 (in Russian). doi: 10.17586/2226-1494-2017-17-4-719-724

**Abstract**

**Subject of Research.**The paper presents results of comparative testing of highly stable difference scheme with customizable dissipative properties and WENO5 scheme in the case of one-dimensional gas dynamics and mechanics of gas-suspensions problems. **Method.** The second order difference scheme is constructed by physical processes splitting into two phases. The first one uses the central differences with adaptive reconstruction of artificial viscosity and semi implicit approximation of the sources. TVD type reconstructions are used in the second phase. **Main Results.** For the representative collection of test problems, the proposed scheme has confirmed the efficiency and good quality numerical solutions at the level of the WENO5 scheme with substantially lower machine time cost. The wave structure in the decay of initial discontinuity in the non-equilibrium gas suspension and the convergence to exact self-similar solution are considered. **Practical Relevance.** A detailed resolution of structural peculiarities of gas flows and gas-particle mixtures allows reducing the amount of experimental development of new technologies and technical devices of coating, leakage control when using a trial particulate matter with particles of micro - and nano-sizes and other areas.

**Keywords:**gas dynamics, gas-particle mixture, numerical simulation, test problems, dissipative properties, stability

**References**

*Mathematical Problems in the Numerical Solution of Hyperbolic Systems*. Moscow, Fizmatlit Publ., 2001, 608 p. (In Russian)

*Dynamics of Multiphase Media.*Moscow, Nauka Publ., 1987.

*Journal of Applied Mathematics and Mechanics*, 1982, vol. 46, no.1, pp. 66–74. doi: 10.1016/0021-8928(82)90084-3

*Journal of Computational Physics*, 2006, vol. 216, pp. 494–525. doi: 10.1016/j.jcp.2005.12.010

*Comp. Maths Math. Phys.*, 1996, vol. 36, no. 10, pp. 1453–1458.

*Comp. Maths Math. Phys.*, 1998, vol. 38, no. 6, pp. 987–993.

*Comp. Maths Math. Phys.*, 1998, vol. 38, no. 9, pp. 1508–1513.

*Journal of Applied Mechanics and Technical Physics*, 2002, vol. 43, no. 2, pp. 286–290.

*Shock Waves*, 2007, vol. 16, no. 3, pp. 209–232.

*Journal of Computational Physics*, 2009, vol. 228, no. 5, pp. 1678–1712. doi: 10.1016/j.jcp.2008.11.002

*Computational Mathematics and Mathematical Physics*, 2016, vol. 56, no. 12, pp. 2068–2078. doi: 10.1134/S0965542516120137

*Journal of Applied Mechanics and Technical Physics*, 2016, vol. 57, no. 3, pp. 422–431. doi: 10.1134/S0021894416030056

*Technical Physics*, 2017, vol. 62, no. 1, pp. 18–23. doi: 10.1134/S1063784217010194

*Journal of Computational Physics*, 1996, vol. 126, pp. 202–228. doi: 10.1006/jcph.1996.0130

*Scientific and Technical Journal of Information Technologies, Mechanics and Optics*, 2015, vol.15, no. 4, pp. 731–740. doi: 10.17586/2226-1494-2015-15-4-731-740

*SIAM Journal on Scientific Computing*, 2003, vol. 25, no. 3, pp. 995–1017.

*Journal of Computational Physics*, 1984, vol. 54, no. 1, pp. 115–173. doi: 10.1016/0021-9991(84)90142-6

*Fluid Dynamics*, 1996, vol. 31, no. 3, pp. 386–391.