Adaptive Discontinuous Galerkin Methods with Applications

自适应间断伽辽金方法及其应用

• 批准号: 288315-2013
• 负责人: Schötzau, Dominik
• 金额: $ 1.38万
• 依托单位: University of British Columbia
• 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=525783
• 关键词: Adaptive; Discontinuous; Galerkin; Methods; Applications

Many problems of engineering interest are posed in complex, possibly non-smooth and three-dimensional domains. They often involve multiple physical models and scales, as well as highly varying or non-linear material properties. Advanced numerical techniques are required for meaningful predictions. To achieve improved and high-order accurate simulation outputs, we shall focus on the development and implementation of discontinuous Galerkin (DG) finite element methods, combined with adaptive refinement strategies. In recent years, these methods established themselves as robust and flexible simulation techniques for wide classes of problems in computational fluid dynamics, structural mechanics and electro-magnetics. They are naturally suited for adaptive computations, and for providing a unified computational platform for simulating coupled multi-physics models in three space dimensions.

许多工程问题都是在复杂的、可能是非光滑的和三维的领域中提出的。它们通常涉及多个物理模型和尺度，以及高度变化或非线性的材料特性。有意义的预测需要先进的数值技术。为了实现改进的高阶精确仿真输出，我们将重点开发和实施不连续伽辽金（DG）有限元方法，并结合自适应细化策略。近年来，这些方法在计算流体力学、结构力学和电磁学等广泛的问题中建立了强大而灵活的模拟技术。它们自然适合于自适应计算，并为在三维空间中模拟耦合的多物理模型提供统一的计算平台。