RUI: Spectral Methods and Their Combinations with the Finite Element Method for Chemically Reacting Flows and PDEson Nonsmooth Domains

RUI：化学反应流和非光滑域偏微分方程的谱法及其与有限元法的组合

• 批准号: 9005874
• 负责人: Wei Cai
• 金额: $ 5.81万
• 依托单位: University of North Carolina at Charlotte
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-09-01 至 1992-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9005874&HistoricalAwards=false
• 关键词: RUI; Spectral; Methods; Their; Combinations

Spectral methods have been widely applied to the study of transient and turbulent flows, yet their scope of application has been limited by their inability to treat discontinuous problems on nonsmooth domains. This project will serve to reduce these two restrictions. It will design oscillation-free spectral methods to simulate chemically reacting flows, especially the detonation waves and the transition from deflagration to detonation. Spectral shock fitting methods will be applied to study the interaction of a detonation wave and disturbances. Essentially non-oscillatory approximations will be used to resolve the high gradients and discontinuities in the solutions. The domain restrictions will be eased by combining the spectral element methods with the p- and the h-p version of the finite element method. Then the combined method will be applied to general elliptic equations on nonsmooth domains, and the results will be used to simulate flows in irregular channels.

光谱方法已被广泛应用于研究 瞬态和湍流，但其应用范围 由于无法治疗不连续的 非光滑域上的问题 该项目将有助于减少 这两个限制。 它将设计无振荡的光谱 方法来模拟化学反应流，特别是 爆轰波和从爆燃到 爆炸 光谱冲击拟合方法将应用于 研究爆震波和扰动的相互作用。 基本上非振荡近似将用于 解决解决方案中的高梯度和不连续性。 域的限制将通过结合频谱 有限元法的p-和h-p形式 单元法 然后将组合方法应用于 非光滑区域上的一般椭圆型方程， 将用于模拟不规则渠道中的流动。