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首页> 外文期刊>Journal of Computational Physics >AN ALTERNATING DIRECTION IMPLICIT SCHEME FOR PARABOLIC EQUATIONS WITH MIXED DERIVATIVE AND CONVECTIVE TERMS
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AN ALTERNATING DIRECTION IMPLICIT SCHEME FOR PARABOLIC EQUATIONS WITH MIXED DERIVATIVE AND CONVECTIVE TERMS

机译：具导数和对流项的抛物线方程的交替方向隐式格式

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An alternating direction implicit (ADI) scheme is introduced which is capable of solving a general parabolic equation in two space dimensions with mixed derivative and convective terms. in the case of constant coefficients the scheme is shown to be unconditionally stable. The study was motivated by the investigation of flow in a dye laser cell (a device used for the amplification of a laser beam), a simple model for which involves laminar flow in a two-dimensional symmetric channel subject to impulsive heating. Numerical results are presented for this problem, and the qualitative behaviour oi the temperature distribution within the channel for different Peclet numbers is discussed. (C) 1996 Academic Press, Inc. [References: 15]
机译：引入了交替方向隐式（ADI）方案，该方案能够求解带有混合导数和对流项的二维空间中的一般抛物线方程。在常数系数的情况下，该方案显示为无条件稳定。这项研究是通过研究染料激光电池（用于放大激光束的设备）中的流动而启动的，该染料激光电池是一个简单的模型，涉及在受到脉冲加热的二维对称通道中的层流。给出了针对该问题的数值结果，并讨论了对于不同的Peclet数，通道内温度分布的定性行为。 （C）1996 Academic Press，Inc. [参考：15]

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