X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/book_gpu.git/blobdiff_plain/c76d2115cc2c37904fb4173b7b1e0288a6646c9c..fd7d6f1c6c149f79839200277703c9ef950150f8:/BookGPU/Chapters/chapter7/ch7.tex?ds=sidebyside diff --git a/BookGPU/Chapters/chapter7/ch7.tex b/BookGPU/Chapters/chapter7/ch7.tex index 6fd9c62..2b8b30e 100644 --- a/BookGPU/Chapters/chapter7/ch7.tex +++ b/BookGPU/Chapters/chapter7/ch7.tex @@ -696,7 +696,7 @@ where $m$ is one of the scalar functions $\phi,u,w$ describing kinematics; $c$ i \includegraphics[width=0.45\textwidth]{Chapters/chapter7/figures/lineardispersion_Nx30-HL90-p6_Linear-eps-converted-to.pdf} } \end{center} -\caption{The accuracy in phase celerity $c$ determined by \eqref{ch7:errdisp} for small-amplitude (linear) wave. +\caption[The accuracy in phase celerity $c$ determined by \eqref{ch7:errdisp} for small-amplitude (linear) wave.]{The accuracy in phase celerity $c$ determined by \eqref{ch7:errdisp} for small-amplitude (linear) wave. $N_z\in[6,12]$. Sixth order scheme.} \label{ch7:figlinear} \end{figure} @@ -789,7 +789,8 @@ Last, we demonstrate using a classical benchmark for propagation of nonlinear wa % A harmonic analysis of the wave spectrum at the shoal center line is computed and plotted in Figure \ref{ch7:whalinresults} for comparison with the analogous results obtained from the experiments data. The three harmonic amplitudes are computed via a Fast Fourier Transform (FFT) method using the last three wave periods up to $t=50\,$s. There is a satisfactory agreement between the computed and experimental results and no noticeable loss in accuracy resulting from the use of single-precision math. -% + +\pagebreak \begin{figure}[!htb] \setlength\figureheight{0.3\textwidth} \setlength\figurewidth{0.32\textwidth} @@ -930,5 +931,5 @@ We anticipate that a tool based on the proposed parallel solution strategies wil \section{Acknowledgments} This work was supported by grant no. 09-070032 from the Danish Research Council for Technology and Production Sciences. A special thank goes to Professor Jan S. Hesthaven for supporting parts of this work. Scalability and performance tests was done in the GPUlab at DTU Informatics, Technical University of Denmark and using the GPU-cluster at Center for Computing and Visualization, Brown University, USA. NVIDIA Corporation is acknowledged for generous hardware donations to facilities of the GPUlab. - +\clearpage \putbib[Chapters/chapter7/biblio7]