This article is cited in 1 scientific paper (total in 1 paper)
On a stability of discontinuous particle method for transfer equation
A. Zh. Baevab, S. V. Bogomolovab
a Kazakhstan Branch of Lomonosov Moscow State University
b Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Nonlinear transfer of mass, momentum and energy is the main pecularity of gas dynamics. A «discontinuous» particle method is proposed for its efficient numerical modeling. The method is discribed in details in application to linear and nonlinear transfer processes. Necessary and sufficient monotonicity and stability condition of discontinuous particle method for regularized Hopf equation is obtained. At a simplest example of discontinuous solution, the method advantages, which include a discontinuty widening over only one particle, self adaptation of space resolution to solution pecularities, are shown.
particle method, gas dynamics problems, transfer equations, micro- macromodels, Courant condition, Hopf equation.
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Mathematical Models and Computer Simulations, 2018, 10:2, 186–197
A. Zh. Baev, S. V. Bogomolov, “On a stability of discontinuous particle method for transfer equation”, Matem. Mod., 29:9 (2017), 3–18; Math. Models Comput. Simul., 10:2 (2018), 186–197
Citation in format AMSBIB
\by A.~Zh.~Baev, S.~V.~Bogomolov
\paper On a stability of discontinuous particle method for transfer equation
\jour Matem. Mod.
\jour Math. Models Comput. Simul.
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