计算流体动力学中的面积保持
Area preservation in computational fluid dynamics
AI总结：
针对不可压缩二维流动，提出两种保持离散面积的欧拉数值方法，抑制伪振荡，初步测试验证有效性。
摘要：
不可压缩二维流动，如平流（刘维尔）方程和欧拉方程，具有与面积守恒相关的一大族守恒律。我们提出了两种欧拉数值方法，它们保持面积的离散模拟。第一种是基于单元重排的全离散模型；第二种更为传统，但仍保持涡量场每个等高线内的面积。初步测试表明，这两种方法都能抑制场中伪振荡的形成。
英文摘要：
Incompressible two-dimensional flows such as the advection (Liouville) equation and the Euler equations have a large family of conservation laws related to conservation of area. We present two Eulerian numerical methods which preserve a discrete analog of area. The first is a fully discrete model based on a rearrangement of cells; the second is more conventional, but still preserves the area within each contour of the vorticity field. Initial tests indicate that both methods suppress the formation of spurious oscillations in the field.
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