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KIAM Preprint № 86, Moscow, 2021
Authors: Grigorjev S.K., Bay A.A., Boykov D.S., Bagdasarov G.A., Sharova Y.S.
Adaptive mesh refinement technique for continuum mechanics problems
Adaptive Mesh Refinement (AMR) is widely used today as a way to solve problems in the mechanics of continuous media, which makes it possible to increase the accuracy of the solution at an economical cost of computational resources. The paper presents new structures for storing and processing data for octree mesh adaptation in the leaf model paradigm. The current version of the technique implements a set of algorithms focused on applications to cluster-type parallel computing systems: dynamic mesh adaptation, data structure synchronization, and load balancing of the computing complex. The developed toolkit supports the functionality required for the implementation of various numerical models of continuum mechanics. As an example of possible applications, a difference schemes for heat conduction and gas dynamics using the developed AMR technique are discussed. The results of numerical experiments with model problems are presented.
adaptive mesh refinement, load balancing, grid-projection scheme, message passing interface
Publication language: russian,  pages: 19
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Grigorjev Sergej Konstantinovich,  KIAM RAS
  • Bay Anton Alekseevich, RAS
  • Boykov Dmitri Sergeevich, RAS
  • Bagdasarov Gennadiy Alekseevich, RAS
  • Sharova Yulia Sergeevna, RAS