There is a subtle difference between the integral and differential forms of the governing flow equations which is best noted at this stage. The integral form of the equations allows for the presence of discontinuities inside the fixed control volume(fixed in space); there is no mathematical reason to assume otherwise. However, the differential form of the governing equations assumes the flow properties are differentiable, hense continuous. This is particulary evident when we use the devergence theorem to derive the differential form from the integral form--the divergence theorem assumes mathematical continuity. This is a strong argument for the integral form of the equations to be considered more fundermental than the differential form. This consideration becomes of particular importance w... (查看原文)
This motivation is driven by more than just trying to minimize the truncation error with closely spaced points; it is also a matter of simply having enough grid points to properly capture the physics of the flow(in those regions of the flow where large gradients in the flow-field properties exist). (查看原文)
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安德森 作者
0 有用 我为的是我的心 2021-04-23 17:03:37
写的非常易懂好读，非常适合CFD入门。流体系研一学生。
4 有用 、 2020-03-13 08:10:28
音乐，艺术，科学，无数的无数，都以其独自有限的影响力，创造了一个一个小小的圈子，几个小小人类的命运共同体，而能把全人类都划进大圈子的却是病毒。我们真的需要人类命运共同体吗？可是睡大通铺的感觉也很快乐呀。
0 有用 宙斯的染色体 2010-07-28 13:46:29
2009.5.13/
0 有用 Trägheit 2024-06-16 16:29:06 广东
写得好啊，逃了一学期的课本来很慌，这几天翻了翻感觉思路瞬间清晰了🥺
1 有用 Douglas_Chan 2015-11-09 15:36:03
边看边忘，我不是纯作计算的。