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谱方法-未完。。。
谱方法介绍 (pseudospectral approach)谱方法或配置法是非常有必要另开一篇博客分享的话题,在我之前分享的nsCoutte和swirl flow的底层数值驱动中,实际上都用了这类global方法(傅里叶变换就是最基本的一种)。最为著名的应该是以professor Lloyd N. Trefethen主导的牛津大学团队开发的chefun工具包,在学术研究领域包括湍流模拟、天气预测和非线性波动方程求解等有着广泛的应用。Sheehan Olver改写成了julia语言,在他的课程上也有一些介绍。相比于之前提到的有限体积,有限差分和有限元方法,谱方法有其独有的优势,特别适用于一些简单模型的偏微分方程求解。
特点:对于解析函数,误差通常是以指数形式衰减的(随着N的增加)。
该方法几乎没有耗散dissipative 和 dispersive errors.
对于非顺滑或者间断函数也有非常好的近似。
非常少的插值点就能满足较高的近似精度,节省计算时间和内存。
基函数的选择要求:
$\sum_{k=0}^N a_k \phi_k(x)$ 快速收敛逼近函数v(x);
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nsCouette-未完。。。
nsCouette介绍The Taylor-Couette (TC) set-up is one of the most famous paradigmatic systems for wall-bounded shear flows in general and maybe the most important one if you are interested in rotating shear flows in particular. For understanding the following chapters of this documentation, it might help to acquaint yourself with a bit of crucial terminology and basic concepts of the TC system as well as with the notation we will use throughout this documentation and in the source code of nsCouette.
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着色器开篇
Shadertoy介绍Shadertoy is a website dedicated to allow people share and write GLSL pixel shaders. In other words, the gorgeous effects in it can be achieved only by pixel shaders (and of course the texture coordination), is it very powerful? There are a lot of strong people inside, just like a brainstorm, letting you exclaim again and again, so you can do it! However, there is also a lot of knowledge about mathematics and algorithms, so you may often find that your brain is not enough to keep up w ...
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任务1:
离线上传tensorflow特定版本的文件
12345readonly src_host=https://gitee.com/mirrorsreadonly src_repo=tensorflowgit clone https://gitee.com/mirrors/tensorflow.gitcd tensorflowgit checkout v1.15.2 -b v1.15.2
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