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Efficient finite-difference scheme for solving some heat transfer problems with convection in multilayer media

机译:解决多层介质对流传热问题的有效有限差分方案

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摘要

An efficient finite-difference method for solving the heat transfer equation with piecewise discontinuous coefficients in a multilayer domain is developed. The method may be considered as a generalization of the finite- volumes method for the layered systems. We apply this method with the aim to reduce the 3D or 2D problem to the corresponding series of 2D or lD problems. In the case of constant piecewise coefficients, we obtain the exact discrete approximation of the steady-state lD boundary-value problem.
机译:提出了一种求解多层区域中具有分段不连续系数的传热方程的有效有限差分方法。该方法可以被认为是对分层系统的有限体积方法的概括。我们应用此方法的目的是将3D或2D问题减少到相应的2D或1D问题系列。在恒定的分段系数的情况下,我们获得稳态Ld边值问题的精确离散逼近。

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