Open AccessAdaptive mesh refinement technique for continuum mechanics problems
Author(s) -
Sergej Konstantinovich Grigorjev,
Anton Alekseevich Bay,
Dmitri Sergeevich Boykov,
G. A. Bagdasarov,
Yulia Sergeevna Sharova
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-86
Subject(s) - adaptive mesh refinement , octree , computer science , computational mechanics , computational science , synchronization (alternating current) , continuum mechanics , adaptation (eye) , distributed computing , theoretical computer science , algorithm , finite element method , mechanics , computer network , channel (broadcasting) , physics , optics , thermodynamics
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.