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首页> 美国政府科技报告 >Tests of Various Finite Difference Algorithms Applied to a Simple Water Vapor Transport Problem on a Staggered Grid
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Tests of Various Finite Difference Algorithms Applied to a Simple Water Vapor Transport Problem on a Staggered Grid

机译：各种有限差分算法在交错网格上简单水汽输送问题的试验

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The one-dimensional constant advection of a Gaussian function is used to test four positive-definite schemes -- Schemes I, II, Smolarkiwicz, and Arakawa --and three even-order accurate schemes -- III, IV, and V -- on the C staggered grid. It is shown that for the test problem, Schemes I and II produce identical numerical results. Arakawa's scheme produces the least damping among all the positive-definite schemes, but expensive computations are required with this scheme. With the advent of large digital computers, numerical modeling has taken an important place in atmospheric science. Constructing a numerical model often involves two steps. The first step is to formulate a set of continuous equations which represent the dynamics and the physics of interest in the atmosphere. The second step is to discretize these equations so that they may be solved on a computer. (jes)

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