Improved Computations for Convection Dominated Turbulent Flow Problems Using the Fractional Step Method

使用分数步法改进对流主导的湍流问题的计算

• 批准号: 8718436
• 负责人: Joannes Westerink
• 金额: $ 6万
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-09-01 至 1990-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8718436&HistoricalAwards=false
• 关键词: Improved; Computations; Convection; Dominated; Turbulent

The computation of transport problems are especially troublesome when the solution field contains steep gradients such as those of temperature or concentration. When solving such problems associated with convection either wiggly or unstable, solutions generally result when the standard finite difference of finite element methods are applied. There are schemes that add artificial or numerical diffusion to the computation to dampen numerical instabilities. However, such non-physical diffusion often serves to confuse the real damping that exists in the problem. The objective of this Engineering Initiation project is to expand on the recent developments in higher order schemes which are non-diffusive. In particular, the fractional step method will be used to treat a class of convective dominated problems. The benefits of this procedure includes accuracy and a relative increase in computational scheme will be possible. The institutional support is adequate and the P.I. has extensive experience on the NSF-JVNC supercomputer. I strongly recommend support.

当解场包含陡峭梯度（例如温度或浓度梯度）时，输运问题的计算尤其麻烦。 当解决与波动或不稳定的对流相关的此类问题时，通常通过应用有限元方法的标准有限差分来得出解决方案。 有些方案在计算中添加人工或数值扩散以抑制数值不稳定性。 然而，这种非物理扩散常常会混淆问题中存在的真实阻尼。 该工程启动项目的目标是扩展非扩散的高阶方案的最新发展。 特别是，分数阶方法将用于处理一类对流主导的问题。 该过程的好处包括准确性，并且计算方案的相对增加将是可能的。 机构支持充足，P.I.在 NSF-JVNC 超级计算机方面拥有丰富的经验。 我强烈建议支持。