کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
502416 | 863705 | 2010 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Spectral element spatial discretization error in solving highly anisotropic heat conduction equation Spectral element spatial discretization error in solving highly anisotropic heat conduction equation](/preview/png/502416.png)
This paper describes a study of the effects of the overall spatial resolution, polynomial degree and computational grid directionality on the accuracy of numerical solutions of a highly anisotropic thermal diffusion equation using the spectral element spatial discretization method. The high-order spectral element macroscopic modeling code SEL/HiFi has been used to explore the parameter space. It is shown that for a given number of spatial degrees of freedom, increasing polynomial degree while reducing the number of elements results in exponential reduction of the numerical error. The alignment of the grid with the direction of anisotropy is shown to further improve the accuracy of the solution. These effects are qualitatively explained and numerically quantified in 2- and 3-dimensional calculations with straight and curved anisotropy.
Journal: Computer Physics Communications - Volume 181, Issue 5, May 2010, Pages 837–841