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A parameter-uniform numerical method for a singularly perturbed convection-diffusion problem posed on an annulus

机译:一个参数均匀数值方法,用于环形上的奇异扰动对流扩散问题

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A finite difference method is constructed for a singularly perturbed convection diffusion problem posed on an annulus. The method involves combining polar coordinates, an upwind finite difference operator and a piecewise-uniform Shishkin mesh in the radial direction. Compatibility constraints are imposed on the data in the vicinity of certain characteristic points to ensure that interior layers do not form within the annulus. A theoretical parameter-uniform error bound is established and numerical results are presented to illustrate the performance of the numerical method applied to particular test problems. (C) 2019 Elsevier Ltd. All rights reserved.
机译:构建有限差分方法,用于在环上构成的奇异扰动的对流扩散问题。该方法包括在径向方向上组合极性坐标,呼口有限差差分算子和分段均匀的Shishkin网格。兼容性约束对某些特征点附近的数据施加,以确保内部层不在环内形成。建立理论参数均匀误差符合,并提出了数值结果以说明应用于特定测试问题的数值方法的性能。 (c)2019 Elsevier Ltd.保留所有权利。

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