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Research interests Computational methods Stability of fluid flows Turbomachinery analysis and design Multiphase flow Turbulence Biological simulation Computational methods   Adaptive and multiscale computation Cartesian grids (BEARCLAW) Tetrahedral grids (OCTLES) AMR methods for MHD   Parallel computation Parallel computation   Moving mesh methods Moving mesh methods   Multiphysics computations Direct Numerical Simulation (DNS) of turbulent flow combined with Molecular Dynamics (MD) of polymers Elasticity computations combined with microscopic crack propagation Species transport in a melt combined with microscopic solidification Fluid contact lines resolved by microscopic simulations   Astrophysical computations A BEARCLAW application that includes extensive physical modeling is being used at the University of Rochester to simulate the formation of astrophysical structures resulting from shocks passing through clumps of matter. Details and animations.   High-order adaptive mesh refinement for internal gravity waves animation Stability of fluid flows Jet instability Jet in a flexible tube Jet acoustics Fluid instability - turbulence interactions Turbomachinery analysis and design Turbomachinery gas dynamics Large eddy simulation of complex engineering flows Multiphase flow   Bubbly flow Bubble dynamics Bubbly flow turbulence models Turbulence Renormalization group studies 2D turbulence simulations Modeling of biological systems Cilia internal mechanics and flow interaction As part of the UNC Virtual Lung initiative a finite element model of the internal mechanical structure of a cilium has been coupled with a stochastic model for dynein induced forces (John Fricks and Timothy Elston) and with a moving mesh computation of the Stokes flow around a cilium. The goal of this project is to accurately determine the forces on the surface of a cilium as a basis for further development of models of the collective effects of ciliar beating. Animation of the moving mesh around a cilium Far view of the the moving mesh showing its embedding into a surrounding, fixed Cartesian mesh Animation of a moving cilium with representation of the velocity vectors near the cilium Advection-Diffusion of a passive tracer in a two layer model Arterial flow In collaboration with Walter Tan (Cardiology, UNC) and Brooke Steele (Biomedical Engineering, UNC and NCSU). Computational methods are being developed to: Derive artery system geometry and flow from angiographic videos and intravenous ultrasound Model the effect of common vascular interventions (stents, vessel dilation) upon the flow