Domain decomposition for the numerical solution of the Cahn-Hilliard equation

Domain decomposition for the numerical solution of the Cahn-Hilliard equation Full article

Conference

Международная конференция "Суперкомпьютерные дни в России"
23-24 Sep 2024 , Москва

Source

Cуперкомпьютерные дни в России: труды международной конференции, 23–24 сентября 2024 г., Москва
Compilation, Москва. МАКС Пресс.2024. 242 c. ISBN 978-5-317-07287-2.

Journal

Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349

Output data

Year: 2025, Volume: 15406, Pages: 59-73 Pages count : 15 DOI: 10.1007/978-3-031-78459-0_5

Funding (1)

Russian Science Foundation

21-71-20003

In the paper, I present a parallel algorithm for the numerical solution of the Cahn-Hilliard equation in a 3-D rectangular spatial domain with periodic boundary conditions. The algorithm uses an explicit finite difference scheme and domain decomposition method. One MPI process is assigned for each spatial subdomain, and the solution inside the subdomain is computed using the CUDA technology for GPU. The strong and weak scaling of the algorithm for the phase separation problem is examined for two kinds of VRAM-RAM data transfer.

Prokhorov D.
Domain decomposition for the numerical solution of the Cahn-Hilliard equation
In compilation Cуперкомпьютерные дни в России: труды международной конференции, 23–24 сентября 2024 г., Москва. – Москва., 2025. – C.59-73. – ISBN 978-5-317-07287-2. DOI: 10.1007/978-3-031-78459-0_5 Scopus OpenAlex

Published print:	Jan 31, 2025
Published online:	Jan 31, 2025

Scopus:	2-s2.0-85219205672
OpenAlex:	W4407002567

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