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Simulation of heat conduction problems in layered materials using the meshless singular boundary method

机译：用无网格奇异边界法模拟层状材料中的导热问题

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摘要

In this paper, we apply the novel singular boundary method for the simulation of heat conduction problems in layered materials. The singular boundary method is a recently developed boundary-type meshless collocation method. While inheriting the merits of conventional boundary-type methods, mesh and singularity of fundamental solutions are also circumvented. In the singular boundary method, the approximation is established via the linear combination of the fundamental solutions. Basic concept behind the methodology for the heat conduction problems in layered materials is the domain decomposition technique. For problems under consideration, the layered materials are divided into several sub-domains where the solutions are established separately by means of the singular boundary method. To form the final solution system, the interface continuity conditions are taken into account. Numerical experiments verify the accuracy and convergence of the present approach. (C) 2018 Elsevier Ltd. All rights reserved.
机译：在本文中，我们将新颖的奇异边界方法应用于层状材料中的导热问题模拟。奇异边界法是最近开发的边界型无网格配置法。在继承传统边界类型方法的优点的同时，还避免了基本解的网格和奇异性。在奇异边界法中，通过基本解的线性组合来建立近似值。层状材料中导热问题的方法论背后的基本概念是畴分解技术。对于所考虑的问题，将分层的材料划分为几个子域，在这些子域中，通过奇异边界方法分别建立了解决方案。为了形成最终的解决方案系统，需要考虑接口连续性条件。数值实验验证了该方法的准确性和收敛性。 （C）2018 Elsevier Ltd.保留所有权利。

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