Search Results - "Henshaw, William D."
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Computational Modeling of Blood Flow in the TrapEase Inferior Vena Cava Filter
Published in Journal of vascular and interventional radiology (01-06-2009)“…Purpose To evaluate the hemodynamics of the TrapEase vena cava filter (Cordis, Miami Lakes, Florida) by using three-dimensional computational fluid dynamics,…”
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High-order upwind schemes for the wave equation on overlapping grids: Maxwell's equations in second-order form
Published in Journal of computational physics (01-01-2018)“…High-order accurate upwind approximations for the wave equation in second-order form on overlapping grids are developed. Although upwind schemes are well…”
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3
Upwind schemes for the wave equation in second-order form
Published in Journal of computational physics (01-07-2012)“…We develop new high-order accurate upwind schemes for the wave equation in second-order form. These schemes are developed directly for the equations in…”
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4
High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces
Published in Journal of computational physics (01-05-2022)“…We describe a fourth-order accurate finite-difference time-domain scheme for solving dispersive Maxwell's equations with nonlinear multi-level carrier kinetics…”
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A composite grid solver for conjugate heat transfer in fluid–structure systems
Published in Journal of computational physics (01-06-2009)“…We describe a numerical method for modeling temperature-dependent fluid flow coupled to heat transfer in solids. This approach to conjugate heat transfer can…”
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A high-order accurate scheme for Maxwell's equations with a Generalized Dispersive Material (GDM) model and material interfaces
Published in Journal of computational physics (01-07-2020)“…•A novel scheme for multi-material Maxwell's equations with general linear dispersive effects.•High-order accurate treatment of interfaces between dispersive…”
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Stability analysis of high-order finite-difference discretizations of the linearized forward-speed seakeeping problem
Published in Applied ocean research (01-11-2019)“…•A matrix-based stability analysis is presented to investigate the numerical stability of potential flow problems related to forward-speed ship…”
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A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model
Published in Journal of computational physics (01-02-2019)“…A high-order accurate scheme for solving the time-domain Maxwell's equations with a generalized dispersive material model is described. The equations for the…”
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Parallel computation of three-dimensional flows using overlapping grids with adaptive mesh refinement
Published in Journal of computational physics (10-08-2008)“…This paper describes an approach for the numerical solution of time-dependent partial differential equations in complex three-dimensional domains. The domains…”
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Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
Published in Journal of computational physics (01-08-2006)“…We consider the solution of the reactive and non-reactive Euler equations on two-dimensional domains that evolve in time. The domains are discretized using…”
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Deforming composite grids for solving fluid structure problems
Published in Journal of computational physics (01-05-2012)“…We describe a mixed Eulerian–Lagrangian approach for solving fluid–structure interaction (FSI) problems. The technique, which uses deforming composite grids…”
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12
Numerical methods for solid mechanics on overlapping grids: Linear elasticity
Published in Journal of computational physics (15-07-2012)“…This paper presents a new computational framework for the simulation of solid mechanics on general overlapping grids with adaptive mesh refinement (AMR). The…”
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13
Computed tear film and osmolarity dynamics on an eye-shaped domain
Published in Mathematical medicine and biology (01-06-2016)“…The concentration of ions, or osmolarity, in the tear film is a key variable in understanding dry eye symptoms and disease. In this manuscript, we derive a…”
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14
Analysis of simulation technique for steady shock waves in materials with analytical equations of state
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-11-2006)“…We calculate and analyze a thermodynamic limit of a multiscale molecular dynamics based scheme that we have developed previously for simulating shock waves. We…”
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An adaptive numerical scheme for high-speed reactive flow on overlapping grids
Published in Journal of computational physics (01-11-2003)“…We describe a method for the numerical solution of high-speed reactive flow in complex geometries using overlapping grids and block-structured adaptive mesh…”
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16
Tear film dynamics on an eye-shaped domain I: pressure boundary conditions
Published in Mathematical medicine and biology (01-09-2010)“…We study the relaxation of a model for the human tear film after a blink on a stationary eye-shaped domain corresponding to a fully open eye using lubrication…”
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A comparative study of two macro-scale models of condensed-phase explosives
Published in IMA journal of applied mathematics (01-02-2012)“…Two macro-scale models of high-energy condensed-phase explosives are considered. The first, called ignition and growth, treats the heterogeneous explosive as a…”
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Efficient Upwind Schemes for Linear and Nonlinear Dispersive Maxwell's Equations on Overset Grids
Published in 2023 International Applied Computational Electromagnetics Society Symposium (ACES) (26-03-2023)“…Overlapping grids are a powerful tool for representing the complex geometry inherent to many linear and nonlinear electromagnetic scattering problems. However,…”
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Conference Proceeding -
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High-order accurate implicit-explicit time-stepping schemes for wave equations on overset grids
Published in Journal of computational physics (01-01-2025)“…New implicit and implicit-explicit time-stepping methods for the wave equation in second-order form are described with application to two and three-dimensional…”
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Solving for hydroelastic ship response using Timoshenko beam modes at forward speed
Published in Ocean engineering (15-05-2024)“…In this study, we employ a hydroelastic analysis to investigate the motion response of large ship hulls, treating them as either Euler–Bernoulli or Timoshenko…”
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