On a compact finite-difference scheme of the third order of weak approximation

Результат исследования: Научные публикации в периодических изданияхстатья по материалам конференции

Аннотация

The stability and accuracy of compact difference schemes with artificial viscosities of the fourth divergence order are studied. These schemes have a third order both of classical approximation on smooth solutions and weak approximation on discontinuous solutions. As a result of the stability analysis of these schemes in the linear approximation, the optimal values of their viscosity coefficients were obtained. Test calculations are presented to demonstrate the advantages of the new compact scheme compared to the TVD and WENO schemes when calculating discontinuous solutions with shock waves.

Язык оригиналаанглийский
Номер статьи012072
Число страниц6
ЖурналJournal of Physics: Conference Series
Том1359
Номер выпуска1
DOI
СостояниеОпубликовано - 21 ноя 2019
Событие4th All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2019 - Yalta, Crimea, Украина
Продолжительность: 15 сен 201922 сен 2019

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