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Method for the numerical simulation of a physical phenomenon with a preferential direction
Method for the numerical simulation of a physical phenomenon with a preferential direction
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机译：具有优先方向的物理现象的数值模拟方法
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摘要
The invention provides a method of simulating behavior of a flow interacting with an object. The invention improves the accuracy of the approximation of the spatial pth derivative Dp, p≧1, and therefore reduces the cost of the simulation. It includes in the approximation values of the parameter at points which do not lay on grid lines passing through the point of computation P, and by using these values to optimize the approximation. The use of these additional points depends on a preferential direction, such as determined by the advection direction of the flow. The points used in the approximation extend beyond a unit cube on the computational grid. The simulation is in three or more dimensions. The numerical simulation produces output which can be used in the design or optimization of the object which interacts with the flow. In certain cases, it is the output by itself which is important.
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机译：本发明提供了一种模拟与对象相互作用的流的行为的方法。本发明提高了空间p th 导数D p 的逼近精度，p≥1，因此降低了仿真成本。它在不位于通过计算点P的网格线上的点上包含参数的近似值，并通过使用这些值来优化近似值。这些附加点的使用取决于优先方向，例如由流动的对流方向确定的方向。逼近中使用的点超出了计算网格上的单位立方体。模拟在三个或更多个维度上。数值模拟产生的输出可用于设计或优化与流相互作用的对象。在某些情况下，重要的是输出本身。
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