GPU Accelerating Algorithms for Three-Layered Heat Conduction Simulations
Date
Authors
Murúa, Nicolás
Coronel, Aníbal
Tello, Alex
Berres, Stefan
Huancas, Fernando
Coronel, Aníbal
Tello, Alex
Berres, Stefan
Huancas, Fernando
Authors
Date
Datos de publicación:
10.3390/math12223503
Keywords
Computational Efficiency - Finite Difference Method - Gpu Acceleration - Heat Transfer - High-performance Computing - Parallel Processing - Sparse Linear Systems
Collections
Abstract
In this paper, we consider the finite difference approximation for a one-dimensional mathematical model of heat conduction in a three-layered solid with interfacial conditions for temperature and heat flux between the layers. The finite difference scheme is unconditionally stable, convergent, and equivalent to the solution of two linear algebraic systems. We evaluate various methods for solving the involved linear systems by analyzing direct and iterative solvers, including GPU-accelerated approaches using CuPy and PyCUDA. We evaluate performance and scalability and contribute to advancing computational techniques for modeling complex physical processes accurately and efficiently. © 2024 Elsevier B.V., All rights reserved.
Description
Keywords
Computational Efficiency , Finite Difference Method , Gpu Acceleration , Heat Transfer , High-performance Computing , Parallel Processing , Sparse Linear Systems
Citation
10.3390/math12223503