Publicación: GPU ACCELERATING ALGORITHMS FOR THREE-LAYERED HEAT CONDUCTION SIMULATIONS
Fecha
2024
Autores
Título de la revista
ISSN de la revista
Título del volumen
Editor
MATHEMATICS
Resumen
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.
Descripción
Palabras clave
sparse linear systems, parallel processing, high-performance computing, heat transfer, GPU acceleration, finite difference method, computational efficiency
