Tnl: Numerical Library for Modern Parallel Architectures

Oberhuber, Tomáš; Klinkovský, Jakub; Fučík, Radek

doi:10.14311/ap.2021.61.0122

Cited by 4 publications

(3 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An early adopter of GPUs has been the MAGMA numerical library by Agullo et al (2009) which implements a lot of the functionality of BLAS and LAPACK targeting GPUs. A modern numerical library targeting GPUs is the Templated Numerical Library ( TNL ) by Oberhuber et al (2020). While offering a number of features for scientific computing, such as handling of structured and unstructured computational meshes, it also implements a subset of BLAS subroutines.…”

Section: Introductionmentioning

confidence: 99%

Acceleration of a parallel BDDC solver by using graphics processing units on subdomains

Šístek

Oberhuber

2022

The International Journal of High Performance Computing Applica

Self Cite

View full text Add to dashboard Cite

An approach to accelerating a parallel domain decomposition (DD) solver by graphics processing units (GPUs) is investigated. The solver is based on the Balancing Domain Decomposition Method by Constraints (BDDC), which is a nonoverlapping DD technique. Two kinds of local matrices are required by BDDC. First, dense matrices corresponding to local Schur complements of interior unknowns are constructed by the sparse direct solver. These are further used as part of the local saddle-point problems within BDDC. In the next step, the local matrices are copied to GPUs. Repeated multiplications of local vectors with the dense matrix of the Schur complement are performed for each subdomain. In addition, factorizations and backsubstitutions with the dense saddle-point subdomain matrices are also performed on GPUs. Detailed times of main components of the algorithm are measured on a benchmark Poisson problem. The method is also applied to an unsteady problem of incompressible flow, where the Krylov subspace iterations are performed repeatedly in each time step. The results demonstrate the potential of the approach to speed up realistic simulations up to 5 times with a preference towards large subdomains.

show abstract

Section: Introductionmentioning

confidence: 99%

Acceleration of a parallel BDDC solver by using graphics processing units on subdomains

Šístek

Oberhuber

2022

The International Journal of High Performance Computing Applica

Self Cite

View full text Add to dashboard Cite

show abstract

“…The authors of GTMesh and this article also collaborate with the developers of TNL [29], opening up the possibility of introducing GPU support, which is currently missing. Some preliminary steps have already been made in this direction.…”

mentioning

confidence: 97%

“…It is a mature and very complex project with incomplete documentation, which also supports general topology meshes. • TNL (Template Numerical Library) [29] is a dynamically evolving framework for implementing efficient numerical algorithms in C++, taking advantage of State-ofthe-Art C++ programming paradigms and exposing both CPU and GPU programming through a unified interface. Recently, support for general topology polytopal meshes [27] has been added.…”

mentioning

confidence: 99%

GTMesh: A Highly Efficient C++ Template Library for Numerical Schemes on General Topology Meshes

Jakubec,

Strachota

2023

Applied Sciences

View full text Add to dashboard Cite

This article introduces GTMesh, an open-source C++ library providing data structures and algorithms that facilitate the development of numerical schemes on general polytopal meshes. After discussing the features and limitations of the existing open-source alternatives, we focus on the theoretical description of geometry and the topology of conforming polytopal meshes in an arbitrary-dimensional space, using elements from graph theory. The data structure for mesh representation is explained. The main part of the article focuses on the implementation of data structures and algorithms (computation of measures, centers, normals, cell coloring) by using State-of-the-Art template metaprogramming techniques for maximum performance. The geometrical algorithms are designed to be valid regardless of the dimension of the underlying space. As an integral part of the library, a template implementation of class reflection in C++ has been created, which is sufficiently versatile and suitable for the development of numerical and data I/O algorithms working with generic data types. Finally, the use of GTMesh is demonstrated on a simple example of solving the heat equation by the finite volume method.

show abstract

Lattice Boltzmann method–based efficient GPU simulator for vapor transport in the boundary layer over a moist soil: Development and experimental validation

Klinkovský

Trautz

Fučík

et al. 2023

Computers & Mathematics with Applications

View full text Add to dashboard Cite

Tnl: Numerical Library for Modern Parallel Architectures

Cited by 4 publications

References 4 publications

Acceleration of a parallel BDDC solver by using graphics processing units on subdomains

Acceleration of a parallel BDDC solver by using graphics processing units on subdomains

GTMesh: A Highly Efficient C++ Template Library for Numerical Schemes on General Topology Meshes

Lattice Boltzmann method–based efficient GPU simulator for vapor transport in the boundary layer over a moist soil: Development and experimental validation

Contact Info

Product

Resources

About