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KIAM Preprint  40, Moscow, 2024
Authors: Gasilov V.A., Krukovskiy A.Y., Popov I.V., Lepe N.L.
Adaptive artificial viscosity in calculations via non-uniform grids
Abstract:
The paper concerns with some adaptive artificial viscosity technique which is proposed for the numerical solution of gas-dynamic problems using non-uniform difference grids. The construction of a corresponding conservative difference scheme is developed for one-dimensional problem formulations. Weve estimated the viscosity value bounds which give sufficient conditions for preserving a monotonicity property of the solution. The estimations take into acount both the heterogeneity of gas-dynamic quantities (density, pressure, internal energy...) in the flow region, and the unevenness of the computational grid. Approbation of the modified methodology is carried out by calculating a number of well-known test problems. Computational experiments demonstrate a possibility of high-precision calculations via using grids incorporating adjacent computational cells with a great difference in sizes.
Keywords:
mathematical modeling, gas dynamics, difference scheme, adaptive artificial viscosity
Publication language: russian,  pages: 17
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Gasilov Vladimir Anatolievich,  orcid.org/0000-0003-2629-6527KIAM RAS
  • Krukovskiy Alexander Yurevich,  orcid.org/0000-0003-4188-6904KIAM RAS
  • Popov Igor Viktorovich,  orcid.org/0000-0002-7347-8174KIAM RAS
  • Lepe Nikolai Leonidovich,  orcid.org/0009-0000-1788-308XRussian state university for the humanities; KIAM RAS