Integral equation methods for the Morse-Ingard equations
Integral equation methods for the Morse-Ingard equations
复制标题
Morse-Ingard 方程的积分方程方法
DOI：
10.1016/j.jcp.2023.112416
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发表时间：
2023
影响因子：
4.1
通讯作者：
Kirby, Robert C.
中科院分区：
文献类型：
--
作者：
Wei, Xiaoyu;Klöckner, Andreas;Kirby, Robert C.
我们提出了两个（一个解耦和耦合）的积分方程为基础的方法的Morse-Ingard方程的外部区域上的Neumann边界条件。这两种方法都是基于第二类积分方程（SKIE）配方。该耦合方法具有良好的条件性，可以达到较高的精度。解耦方法具有较低的计算成本和更灵活的处理边界层，但它是容易的病态解耦变换，不能达到高精度的耦合方法。我们使用Nyström方法的基础上正交扩展（QBX）与快速多极加速的数值例子。我们证明了在二维和三维复杂的几何形状的求解器的精度和效率。
We present two (a decoupled and a coupled) integral-equation-based methods for the Morse-Ingard equations subject to Neumann boundary conditions on the exterior domain. Both methods are based on second-kind integral equation (SKIE) formulations. The coupled method is well-conditioned and can achieve high accuracy. The decoupled method has lower computational cost and more flexibility in dealing with the boundary layer; however, it is prone to the ill-conditioning of the decoupling transform and cannot achieve as high accuracy as the coupled method. We show numerical examples using a Nyström method based on quadrature-by-expansion (QBX) with fast-multipole acceleration. We demonstrate the accuracy and efficiency of the solvers in both two and three dimensions with complex geometry.