Numerical Simulation of the Complex Ginzburg-Landau Equation on GPUs with CUDA
Computer Science, Institute for Information and Mathematical Sciences, Massey University, North Shore 102-904, Auckland, New Zealand
Technical Report CSTN-070, Massey University, 2010
The Time Dependent Ginzburg Landau(TDGL) equation models a complex scalar field and is used to study a variety of different physical systems and exhibits phase transitional behaviours that necessitate study using numerical simulation methods. We employ fast data-parallel simulation algorithms on Graphical Processing Units (GPUs) and report on performance data and stability tradeoffs from using various implementations of both 32-bit and 64-bit complex numbers. Using NVIDIA’s Compute Unified Device Architecture (CUDA) programming language running on a GTX480 GPU, we are able to simulate the TDGL with relatively large simulation system sizes of 256^3 cells and we discuss the relative computational tradeoffs between numerical accuracy and stability using different methods as well as different data precisions.
February 14, 2011 by hgpu
