Interface tracking methods and gradient-augmented algorithms: theory and applications

界面跟踪方法和梯度增强算法：理论与应用

• 批准号: 402612-2011
• 负责人: Nave, JeanChristophe
• 金额: $ 2.33万
• 依托单位: McGill University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=550979
• 关键词: Interface; tracking; methods; gradient; augmented

The objective of the proposed research is the development of a new class of methods for the solution of Partial Differential Equations (PDEs) with interface conditions and their application to problems in engineering and computational science. Since it is as important to represent and evolve the interface accurately as it is to correctly discretize operators in order to develop numerical methods with predictive capabilities, our approach will be three-pronged.

拟议研究的目的是开发一种新的方法，用于解决界面条件的偏微分方程（PDE）及其在工程和计算科学中的问题上的应用。由于准确地表示和发展接口与正确离散运算符以开发具有预测能力的数值方法一样重要，因此我们的方法将是三个备份的。