DOI: https://doi.org/10.26089/NumMet.v17r104

Конструирование схем третьего порядка точности с помощью разложений Лагранжа-Бюрмана для численного интегрирование уравнений невязкого газа

Авторы

  • Е.В. Ворожцов

Ключевые слова:

гиперболические законы сохранения
разложения Лагранжа-Бюрмана
разностные методы

Аннотация

Предлагается строить явные разностные схемы третьего порядка точности для гиперболических законов сохранения с применением разложений сеточных функций в ряды Лагранжа-Бюрмана. Результаты тестовых расчетов для случаев одномерного уравнения переноса и многомерных уравнений Эйлера невязкого сжимаемого газа подтверждают третий порядок точности построенных схем. Получены квазимонотонные профили численных решений.


Загрузки

Опубликован

2016-02-06

Выпуск

Раздел

Раздел 1. Вычислительные методы и приложения

Автор

Е.В. Ворожцов

Институт теоретической и прикладной механики имени С.А. Христиановича СО РАН (ИТПМ СО РАН)
ул. Институтская, 4/1, 630090, Новосибирск
• ведущий научный сотрудник


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