Decoupling PDE Computation with Intrinsic or Inertial Robin Interface Condition
Decoupling PDE Computation with Intrinsic or Inertial Robin Interface Condition
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DOI：
10.3934/era.2020102
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发表时间：
2019-06
影响因子：
0.8
通讯作者：
Mo Mu;Lian Zhang
中科院分区：
文献类型：
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作者：
Mo Mu;Lian Zhang
我们研究多领域，多物理应用的解耦数值方法。通过研究数值逼近和解耦的各个阶段，并跟踪信息如何通过接口传输的一个典型的多模型模型问题，我们推导出一个近似的内在或惯性型罗宾条件的半离散模型。这种新的接口条件是合理的数学和物理上的对比，传统的罗宾接口条件，介绍了解耦多模型问题。基于固有或惯性Robin条件，引入了一个等效的半离散模型，为设计有效的解耦数值方法提供了一个通用框架。数值实验也证实了这种新的解耦方法的有效性。
We study decoupled numerical methods for multi-domain, multi-physics applications. By investigating various stages of numerical approximation and decoupling and tracking how the information is transmitted across the interface for a typical multi-modeling model problem, we derive an approximate intrinsic or inertial type Robin condition for its semi-discrete model. This new interface condition is justified both mathematically and physically in contrast to the classical Robin interface condition conventionally introduced for decoupling multi-modeling problems. Based on the intrinsic or inertial Robin condition, an equivalent semi-discrete model is introduced, which provides a general framework for devising effective decoupled numerical methods. Numerical experiments also confirm the effectiveness of this new decoupling approach.