Development of immersed boundary methods for fluid flow and heat transfer

流体流动和传热的浸没边界方法的开发

• 批准号: 312052-2010
• 负责人: Ilinca, Florin
• 金额: $ 1.75万
• 依托单位: École Polytechnique de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=526366
• 关键词: Development; immersed; boundary; methods; fluid

The Immersed Boundary Finite Element Methods (IB-FEM) is well suited to problems involving complex geometries. The method trades the extreme complexity of a boundary conforming grid with simple boundary conditions for a simple grid that does not conform to the boundary and on which a special technique is used to enforce boundary conditions. Several issues currently prevent the IB-FEM from being an efficient cost-effective alternative to traditional approaches. The biggest challenge is the development of a general approach for accurate implementation of boundary conditions along boundary surfaces that are not represented by the mesh to ensure that the IB-FEM yields the same solution as traditional FEM.

浸没边界有限元法（IB-FEM）非常适合于复杂几何形状的问题。该方法将具有简单边界条件的边界符合网格的极端复杂性转换为不符合边界的简单网格，并且在该简单网格上使用特殊技术来强制边界条件。目前有几个问题阻碍了IB-FEM成为传统方法的有效的成本效益替代方案。最大的挑战是开发一种通用方法，用于沿着网格不表示的边界表面精确实现边界条件，以确保IB-FEM产生与传统FEM相同的解。