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

当解场包含温度或浓度等陡峭的梯度时，输运问题的计算尤其麻烦。当求解这类与对流有关的问题时，无论是摇摆对流还是不稳定对流，通常采用有限元方法的标准有限差分进行求解。有一些方案在计算中加入了人工或数值扩散，以抑制数值不稳定性。然而，这种非物理扩散往往会混淆问题中存在的真实阻尼。这个工程启动项目的目标是扩展高阶非扩散格式的最新发展。特别地，我们将用分数步方法来处理一类对流占优问题。这种方法的好处包括精确度和相对增加的计算方案将是可能的。机构支持是充分的，私家侦探在NSF-JVNC超级计算机方面有丰富的经验。我强烈建议您给予支持。

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.