Conservative Semi-Lagrangian Numerical Algorithm with Decomposition of Integration Domain into Tetrahedrons for Three-Dimensional Advection Problem

Вяткин, А. В.; Кучунова, Е. В.

doi:10.1007/978-3-030-11539-5_73

Author:

Вяткин, А. В.

Кучунова, Е. В.

Corporate Contributor:

Институт математики и фундаментальной информатики

Базовая кафедра вычислительных и информационных технологий

Date:

2019-01

Journal Name:

Lecture Notes in Computer Science

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Bibliographic Citation:

Вяткин, А. В. Conservative Semi-Lagrangian Numerical Algorithm with Decomposition of Integration Domain into Tetrahedrons for Three-Dimensional Advection Problem [Текст] / А. В. Вяткин, Е. В. Кучунова // Lecture Notes in Computer Science: Finite Difference Methods. Theory and Applications. — 2019. — Т. 11386. — С. 621-629

Abstract:

A conservative semi-Lagrangian method is developed in order to solve three-dimensional linear advection equation. It based on balance equation in integral form. Main feature of roposed method consists in way of computation of integral at lower time level. To compute integral, we decompose a domain of integration into several tetrahedrons and approximate integrand by trilinear function.

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