Solving large-scale three-dimensional heat equations on CUDA

Author

Ji, Xiaohui ; Cheng, Tangpei ; Li, Dandan ; Wang, Qun

Author_Institution

Sch. of Inf. Eng., China Univ. of Geosci., Beijing, China

Volume

2

fYear

2010

fDate

20-22 Aug. 2010

Abstract

Heat equation is the model of many real-world simulation problems. This paper presents a method for solving large-scale three-dimensional heat equation on CUDA. The implicit differential method is used to discretize the equation and the preconditioned Conjugate Gradient algorithm is applied to solve the discretized equation. The implementing methods for the sparse matrix-vector multiplication and the vector inner product on CUDA are given. And the experimental results show that GPUs can speed up the heat equation solving process greatly.

Keywords

computer graphic equipment; coprocessors; gradient methods; mathematics computing; parallel architectures; partial differential equations; sparse matrices; vectors; CUDA; GPU; conjugate gradient algorithm; discretized equation; implicit differential method; large scale three dimensional heat equations; sparse matrix vector multiplication; vector inner product; Educational institutions; Gold; Heating; CUDA; heat equation; the Preconditioned Conjugate Gradient algorithm;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International Conference on

Conference_Location

Chengdu

ISSN

2154-7491

Print_ISBN

978-1-4244-6539-2

Type

conf

DOI

10.1109/ICACTE.2010.5579110

Filename

5579110