15 citations · 45 across the 14 of their papers we have counts for
14 papers
Thin gap approximations for microfluidic device design
Lingyun Ding, Terry Wang, Marcus Roper
Over 125 years ago, Henry Selby Hele-Shaw realized that the depth-averaged flow in thin gap geometries can be closely approximated by two-dimensional (2D) potential flow, in a surp…
Lagrangian Particle Classification and Lagrangian Flux Identities for a Moving Hypersurface
Lingyun Ding, Shuang Hu, Baiyun Huang +1
For a moving hypersurface in the flow of a nonautonomous ordinary differential equation in -dimensional Euclidean spaces, the fluxing index of a passively-advected Lagrangian pa…
Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations
Lingyun Ding
A semi-implicit-explicit (semi-IMEX) Runge-Kutta (RK) method is proposed for the numerical integration of ordinary differential equations (ODEs) of the form $\mathbf{u}' = \mathbf{…
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…
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…
Shear dispersion of multispecies electrolyte solutions in the channel domain
Lingyun Ding
In multispecies electrolyte solutions, even in the absence of an external electric field, differences in ion diffusivities induce an electric potential and generate additional flux…
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…
Correlation function of a random scalar field evolving with a rapidly fluctuating Gaussian process
Jared C. Bronski, Lingyun Ding, Richard M. McLaughlin
We consider a scalar field governed by an advection-diffusion equation (or a more general evolution equation) with rapidly fluctuating, Gaussian distributed random coefficients. In…
Critical density triplets for the arrestment of a sphere falling in a sharply stratified fluid
Roberto Camassa, Lingyun Ding, Richard M. McLaughlin +3
We study the motion of a rigid sphere falling in a two-layer stratified fluid under the action of gravity in the potential flow regime. Experiments at a moderate Reynolds number of…
Determinism and invariant measures for diffusing passive scalars advected by unsteady random shear flows
Lingyun. Ding, Richard M. McLaughlin
Here we study the long time behavior of an advection-diffusion equation with a general time varying (including random) shear flow imposing no-flux boundary conditions on channel wa…
Ergodicity and invariant measures for a diffusing passive scalar advected by a random channel shear flow and the connection between the Kraichnan-Majda model and Taylor-Aris Dispersion
Lingyun Ding, Richard M. McLaughlin
We study the long time behavior of an advection-diffusion equation with a random shear flow which depends on a stationary Ornstein-Uhlenbeck (OU) process in parallel-plate channels…
Persisting asymmetry in the probability distribution function for a random advection-diffusion equation in impermeable channels
R. Camassa, L. Ding, Z. Kilic +1
We study the effect of impermeable boundaries on the symmetry properties of a random passive scalar field advected by random flows. We focus on a broad class of nonlinear shear flo…
Enhanced diffusivity and skewness of a diffusing tracer in the presence of an oscillating wall
Lingyun Ding, Robert Hunt, Hunter Woodie +1
We develop a theory of enhanced diffusivity and skewness of the longitudinal distribution of a diffusing tracer advected by a periodic time-varying shear flow in a straight channel…
Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions
Lingyun Ding, Jingfang Huang, Jeremy L. Marzuola
The recently developed quadrature by expansion (QBX) technique accurately evaluates the layer potentials with singular, weakly or nearly singular, or even hyper singular kernels in…