3 papers
math.OC2024
Optimal Stirring Strategies for Passive Scalars in a Domain with a General Shape and No-Flux Boundary Condition
Sirui Zhu, Zhi Lin, Liang Li +1
Multiscale metrics such as negative Sobolev norms are effective for quantifying the degree of mixedness of a passive scalar field advected by an incompressible flow in the absence…
physics.flu-dyn2023
Dispersion induced by unsteady diffusion-driven flow in parallel-plate channel
Lingyun Ding, Richard M. McLaughlin
We investigate diffusion-driven flows in a parallel-plate channel domain with linear density stratification, which arise from the combined influence of gravity and diffusion in den…
math.NA2022
Quadrature by Two Expansions for Evaluating Helmholtz Layer Potentials
Jared Weed, Lingyun Ding, Jingfang Huang +1
In this paper, a Quadrature by Two Expansions (QB2X) numerical integration technique is developed for the single and double layer potentials of the Helmholtz equation in two dimens…