High-performance 3D Unstructured Mesh Deformation Using Rank Structured Matrix Computations
ACM Transactions on Parallel Computing
; 9(1), 2022.
Article
in English
| Scopus | ID: covidwho-1789035
ABSTRACT
The Radial Basis Function (RBF) technique is an interpolation method that produces high-quality unstructured adaptive meshes. However, the RBF-based boundary problem necessitates solving a large dense linear system with cubic arithmetic complexity that is computationally expensive and prohibitive in terms of memory footprint. In this article, we accelerate the computations of 3D unstructured mesh deformation based on RBF interpolations by exploiting the rank structured property of the matrix operator. The main idea consists in approximating the matrix off-diagonal tiles up to an application-dependent accuracy threshold. We highlight the robustness of our multiscale solver by assessing its numerical accuracy using realistic 3D geometries. In particular, we model the 3D mesh deformation on a population of the novel coronaviruses. We report and compare performance results on various parallel systems against existing state-of-the-art matrix solvers. © 2022 Association for Computing Machinery.
3D mesh deformation; COVID-19; high-performance computing; hydrodynamics; low-rank matrix approximation; radial basis functions; 3D modeling; Deformation; Functions; Heat conduction; Interpolation; Linear systems; Matrix algebra; Mesh generation; 3d mesh deformations; Low-rank matrix approximations; Matrix computation; Mesh deformation; Performance; Performance computing; Rank structured matrix; Unstructured meshes; Radial basis function networks
Full text:
Available
Collection:
Databases of international organizations
Database:
Scopus
Language:
English
Journal:
ACM Transactions on Parallel Computing
Year:
2022
Document Type:
Article
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