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20112019
most citedAsymptotic analysis for close evaluation of layer potentials

20 citations · 47 across the 7 of their papers we have counts for

collaborators

7 papers

physics.flu-dyn2019★ 15 cited

Retention of rising droplets in density stratification

Tracy Mandel, De Zhen Zhou, Lindsay Waldrop +3

In this study, we present results from experiments on the retention of single oil droplets rising through a two-layer density stratification. These experiments confirm the signific…

math.NA2018★ 1 cited

Asymptotic approximations for the close evaluation of double-layer potentials

Camille Carvalho, Shilpa Khatri, Arnold D. Kim

When using the boundary integral equation method to solve a boundary value problem, the evaluation of the solution near the boundary is challenging to compute because the layer pot…

math.NA2018

Close evaluation of layer potentials in three dimensions

S. Khatri, A. D. Kim, Ricado Cortez +1

We present a simple and effective method for evaluating double-and single-layer potentials for Laplace's equation in three dimensions close to the boundary. The close evaluation of…

q-bio.QM2017★ 2 cited

Under the sea: Pulsing corals in ambient flow

Nicholas A. Battista, Julia E. Samson, Shilpa Khatri +1

While many organisms filter feed and exchange heat or nutrients in flow, few benthic organisms also actively pulse to enhance feeding and exchange. One example is the pulsing soft…

q-bio.QM2017★ 8 cited

Pulsing corals: A story of scale and mixing

Julia E. Samson, Nicholas A. Battista, Shilpa Khatri +1

Effective methods of fluid transport vary across scale. A commonly used dimensionless number for quantifying the effective scale of fluid transport is the Reynolds number, Re, whic…

math.NA2017★ 20 cited

Asymptotic analysis for close evaluation of layer potentials

Camille Carvalho, Shilpa Khatri, Arnold D Kim

We study the evaluation of layer potentials close to the domain boundary. Accurate evaluation of layer potentials near boundaries is needed in many applications, including fluid-st…

physics.flu-dyn2011★ 1 cited

The trapping and escape of buoyant vortex rings in sharply stratified fluids

R. Camassa, S. Khatri, R. McLaughlin +6

In this fluid dynamics video we study the dynamics of miscible vortex rings falling in ambient strongly (near two-layer) stratified fluid. Experiments and direct numerical simulati…