# Publications

## Published papers

- Huang F.K., Wu K., Shen J. "Bound/positivity preserving and unconditionally stable schemes for a class of fourth-order nonlinear equations." J. Comp Phys, 2022
- Wu K., Huang F.K., Shen J., "A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics." J. Comp Phys, 2022
- Wu K., Welfert B.D., Lopez J.M., "Reflections and focusing of inertial waves in a librating cube with the rotation axis oblique to its faces."
*J. Fluid Mech, 2020.* - Wu K., Welfert B.D., Lopez J.M., "Precessing cube: resonant excitation of modes and triadic resonance."
*J. Fluid Mech, 2020.* - Wu K., Welfert B.D., Lopez J.M., "Librational forcing of a rapidly rotating fluid-filled cube."
*J. Fluid Mech, 2018.* - Wu K., Welfert B.D., Lopez J.M., "Complex dynamics in a stratified lid-driven cavity flow."
*J. Fluid Mech, 2018.* - Lopez J.M., Welfert B.D., Wu K., Yalim J., "Transition to complex dynamics in the cubic lid-driven cavity."
*Phys. Rev. Fluids, 2017.*

## Submitted papers

- Wu K., Welfert B.D., Lopez J.M., "Intricate patterns of three-dimensional inertial wave beams in a tilted librating cube."
*J. Fluid Mech, 2022.*

## Current work

- Two-fluid confined flow in a cylinder driven by a rotating end wall investigated from a phase-field approach Part I: Axisymmetric Case.
- Two-fluid confined flow in a cylinder driven by a rotating end wall investigated from a phase-field approach Part II: Symmetry-breaking Case.
- Two-fluid confined flow in a cylinder driven by a rotating end wall investigated from a phase-field approach Part III: Physical Mechanism.