Browsing RPI Theses Open Access by Author "Henshaw, William D."
Now showing items 1-8 of 8
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Formation and shearing of drops with applications in biophysics and bioprocessing
Gulati, Shreyash (Rensselaer Polytechnic Institute, Troy, NY, 2017-12)Drops are self-contained systems which do not need solid walls as surface tension provides containment. Solid walls can have associated issues such as sorption, chemical and electrostatic effects which can complicate the ... -
High-order accurate and stable discretizations of partial differential equations with wave-like solutions
Buckner, Benjamin Brett (Rensselaer Polytechnic Institute, Troy, NY, 2020-05)Finally, numerical interface conditions are developed for an Auxiliary Differential Equation Generalized Dispersion Model (ADE-GDM) form of Maxwell’s equations. Compatibility conditions based on the primal interface ... -
High-order accurate partitioned schemes for conjugate heat transfer with advection-diffusion equations
Huang, Sijia (Rensselaer Polytechnic Institute, Troy, NY, 2022-07)This thesis presents a high-order accurate partitioned scheme for the solution of conjugate heat transfer (CHT) problems. The scheme is based on special second-order accurate CHAMP (Conjugate Heat transfer Advanced ... -
Multigrid for high-order accurate difference equations on overset grids
Liu, Chang (Rensselaer Polytechnic Institute, Troy, NY, 2021-08)Multigrid algorithms of solving elliptic or hyperbolic partial differential equations and boundary value problems to high-order accuracy on overset grids are developed and studied in this thesis. The thesis consists of ... -
Numerical methods for fluid-structure interaction and free surface flows
Serino, Daniel A. (Rensselaer Polytechnic Institute, Troy, NY, 2019-05)In the final part of this thesis, an algorithm is developed for free surface flows driven by gravity and surface tension. Deforming composite grids are used to handle the motion of the free surface and the governing equations ... -
Numerical methods for the simulation of reactive and non-reactive compressible flow for materials with general equations of state
Hennessey, Michael P. (Rensselaer Polytechnic Institute, Troy, NY, 2020-08)In the second part of this thesis a model for multi-material flow is described, again assuming general equations of state of Mie-Gr\"uneisen form for the constituents. A corresponding high-resolution quasi-conservative ... -
Structure-preserving discontinuous galerkin methods for multi-scale kinetic transport equations and nonlinear optics models
Peng, Zhichao (Rensselaer Polytechnic Institute, Troy, NY, 2020-08)To achieve this goal, one idea in the literatures involves an additional reformulation to the even-odd decomposition of the model: adding and subtracting a weighted diusive term in the decomposed system. We adopt this idea ... -
Upwind methods for second-order wave equations on overlapping grids
Angel, Jordan B. (Rensselaer Polytechnic Institute, Troy, NY, 2018-08)A normal mode analysis from the theory of Gustafsson, Kreiss, and Sundstrm (GKS) shows that these schemes are robustly stable against numerical instabilities that are known to arise from overlapping grid interpolation. A ...