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首页> 外文期刊>Journal of Computational Physics >Implicit spectrally-accurate method for moving boundary problems using immersed boundary conditions concept
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Implicit spectrally-accurate method for moving boundary problems using immersed boundary conditions concept

机译：使用浸入边界条件概念的运动边界问题的隐式频谱精确方法

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摘要

A fully implicit, spectral algorithm for the analysis of moving boundary problem is described. The algorithm is based on the concept of immersed boundary conditions (IBC), i.e., the computational domain is fixed while the time dependent physical domain is submerged inside the computational domain, and is described in the context of the diffusion-type problems. The physical conditions along the edges of the physical domain are treated as internal constraints. The method eliminates the need for adaptive grid generation that follows evolution of the physical domain and provides sharp resolution of the location of the boundary. Various tests confirm the spectral accuracy in space and the first- and second-order accuracy in time. The computational cost advantage of the IBC method as compared with the more traditional algorithm based on the mapping concept is demonstrated. (C) 2008 Elsevier Inc. All rights reserved.
机译：描述了一种用于运动边界问题分析的完全隐式频谱算法。该算法基于沉浸边界条件（IBC）的概念，即计算域是固定的，而时间相关的物理域则浸没在计算域内，并在扩散类型问题的背景下进行了描述。沿物理域边缘的物理条件被视为内部约束。该方法消除了跟随物理域的演变并提供边界位置的清晰分辨率的自适应网格生成的需要。各种测试证实了空间中的光谱精度以及时间上的一阶和二阶精度。证明了与基于映射概念的传统算法相比，IBC方法的计算成本优势。 （C）2008 Elsevier Inc.保留所有权利。

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