On the Stability of the Discontinuous Particle Method for the Transfer Equationстатья
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Дата последнего поиска статьи во внешних источниках: 6 января 2019 г.
Аннотация:The nonlinear transfer of mass, momentum, and energy is the main peculiarity of gas
dynamics. A discontinuous particle method is proposed for its efficient numerical modeling. The
method is described in detail in application to linear and nonlinear transfer processes. The necessary
and sufficient monotonicity and stability condition of the discontinuous particle method for the regularized
Hopf equation is obtained. On the simplest example of a discontinuous solution, the
method’s advantages, which include the discontinuity widening over only one particle and the selfadaptation
of the space resolution to the solution’s peculiarities, are shown.
Keywords: particle method, gas dynamics problems, transfer equations, micro- macro-models, Courant
condition, Hopf equation