This article is cited in 8 papers

Hybrid schemes with high-order multioperators for computing discontinuous solutions

A. I. Tolstykh<sup>ab

a</sup> Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moskovskaya obl.
^b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: Results are presented concerning high-order multioperator schemes and their monotonized versions as applied to the computation of discontinuous solutions. Two types of hybrid schemes are considered. Solutions of several test problems, including those with extremely strong discontinuities, are presented. An example of solving the Navier–Stokes equations at low supersonic Mach numbers by applying multioperator schemes without monotonization is given.

Key words: high-order multioperators, hybrid schemes, problem with discontinuous solutions, Navier–Stokes equations.

UDC: 519.63

Received: 22.10.2012
Revised: 07.02.2013

DOI: 10.7868/S0044466913070181

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:9, 1303–1322

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