Modeling of Richtmyer–Meshkov instability development using the discontinuous Galerkin method and local-adaptive meshes
R. V. Zhalnina, V. F. Masyagina, E. E. Peskovaa, V. F. Tishkinb
a National Research Mordovia State University, Saransk
b Keldysh Institute of Applied Mathematics of RAS, Moscow
The article presents a numerical algorithm for solving equations of multicomponent gas
dynamics using the discontinuous Galerkin method on local-adaptive grids. The numerical algorithm uses a data structure and a dynamic local grid adaptation algorithm from
the p4est library. We use Lax–Friedrichs–Rusanov numerical and HLLC flows. To get rid
of non-physical oscillations, the Barth–Jespersen limiter is applied. As a result of the study, a numerical simulation of the development of the Richtmyer–Meshkov instability
was carried out, the results obtained were compared with experimental results and known
numerical solutions of this problem. It is concluded that the calculated and experimental
data are in good agreement. In the future, it is expected to study this process using a
model that takes into account the phenomena of viscosity and thermal conductivity.
turbulent mixing, Richtmyer–Meshkov instability, discontinuous Galerkin
method, parallel computing, local-adaptive meshes, p4est.
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R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Modeling of Richtmyer–Meshkov instability development using the discontinuous Galerkin method and local-adaptive meshes”, Matem. Mod., 32:10 (2020), 34–46
Citation in format AMSBIB
\by R.~V.~Zhalnin, V.~F.~Masyagin, E.~E.~Peskova, V.~F.~Tishkin
\paper Modeling of Richtmyer--Meshkov instability development using the discontinuous Galerkin method and local-adaptive meshes
\jour Matem. Mod.
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