沉浸边界方法的压力边界条件.
Ibrahim Nasuh Yildiran1, Nikolaos Beratlis2, Francesco Capuano3
1Department of Mechanical and Aerospace Engineering, The George Washington University, 800 22nd Street NW, Washington DC, 20052, USA.
Journal of computational physics
|June 24, 2024
概括
这项研究引入了一种新的沉浸边界方法制定,可以在分数步骤方法中准确地强制执行压力边界条件. 这种方法避免了复杂的溶解器,使流体动力学模拟与移动边界的计算速度更快.
科学领域:
- 计算流体动力学的流体动力学.
- 数字分析 数字分析
背景情况:
- 浸泡边界方法越来越受欢迎,用于模拟具有复杂,移动或变形边界的流体流.
- 传统的分数阶段方法往往难以在沉浸物体上强制执行边界条件,导致压力和合域解决方案的错误.
- 强制执行速度和压力边界条件的现有方法通常需要复杂的,代的解决方案.
研究的目的:
- 为沉浸边界方法开发一种新的配方,在分数步骤方法中有效地强制执行虚压的边界条件.
- 克服现有方法的局限性,例如滑动错误和复杂解决方案的需求.
主要方法:
- 提出了一种由幽灵流体方法启发的新型分数阶段配方.
- 伪压力的边界条件强制执行被整合到标准Poisson方程的右侧.
- 该方法允许使用快速解决器,例如基于三角形变换的快速解决器.
主要成果:
- 提出的方法成功地将必要的修改用于直接将边界条件强制执行到Poisson方程的右侧.
- 这使得使用高效,标准的Poisson解决方案成为可能,避免了计算上昂贵的代方法.
- 该配方在一系列越来越复杂的测试案例中展示了准确性和稳定性.
结论:
- 新的配方提供了一种高效和准确的方法来处理压力边界条件的沉浸边界分数步骤方法.
- 它通过允许使用标准的,快速的Poisson解决方案来简化计算过程.
- 这一进步对复杂几何形状和移动边界的流体动力学问题的模拟具有重大意义.
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