High-order adaptive methods for hyperbolic conservation laws

双曲守恒定律的高阶自适应方法

• 批准号: 341373-2007
• 负责人: Krivodonova, Lilia
• 金额: $ 1.31万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=458350
• 关键词: order; adaptive; methods; hyperbolic; conservation

This proposal is aimed at the development of new high-order adaptive algorithms for the numerical solution of hyperbolic conservation laws using discontinuous Galerkin methods (DGM). These methods are becoming important for the computation of solutions of large scale problems modeled by partial differential equations. Their attractive features are an element-wise conservation property, high-order accuracy, easy adaptivity, and simple parallel solution procedures. They are used in such diverse applications as fluid dynamics, aeroacoustics, electromagnetics, and optics. This work will lead to more accurate computer simulations and shorter design times.

该建议的目的是发展新的高阶自适应算法的数值解双曲型守恒律使用间断Galerkin方法（DGM）。这些方法对于求解偏微分方程模拟的大规模问题正变得越来越重要。他们的吸引力的特点是一个元素明智的保护属性，高阶精度，易于适应性，和简单的并行求解程序。它们用于流体动力学、航空声学、电磁学和光学等各种应用。这项工作将导致更准确的计算机模拟和更短的设计时间。