Abstract:
In the paper we formulate the numerical method of particles based on the approximation of the
system of gas dynamics equations in the form of second order nonlinear wave equations (NWE)
in time and space variables. On the basis of "NWE" it allows one to construct finite difference
and finite elements schemes with cells of balance both in the "finite volume" and lagrange "particles" framework. The investigation of the method of particles and numerical tests are performed
for two dimensional gas dynamics problems in the Lagrange form on triangular grids.
Keywords:
gas dynamics equations, Lagrange variables, nonlinear wave equations, finite difference schemes, finite elements schemes, particles and points methods.
Citation:
V. E. Troshchiev, N. S. Bochkarev, “The numerical method of Lagrange particles on the basis of two dimentional gas dynamics wave equations”, Mat. Model., 24:11 (2012), 53–64; Math. Models Comput. Simul., 5:3 (2013), 280–288
\Bibitem{TroBoc12}
\by V.~E.~Troshchiev, N.~S.~Bochkarev
\paper The numerical method of Lagrange particles on the basis of two dimentional gas dynamics wave equations
\jour Mat. Model.
\yr 2012
\vol 24
\issue 11
\pages 53--64
\mathnet{http://mi.mathnet.ru/mm3239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112654}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 3
\pages 280--288
\crossref{https://doi.org/10.1134/S2070048213030113}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928984905}
Linking options:
https://www.mathnet.ru/eng/mm3239
https://www.mathnet.ru/eng/mm/v24/i11/p53
This publication is cited in the following 1 articles:
N. S. Bochkarev, “Equivalent numerical schemes for the first and second order gas dynamics equations”, Math. Models Comput. Simul., 5:6 (2013), 534–537
Citation in format AMSBIB
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