- Title Information
- Title
- A spectral element/smoothed profile method for complex-geometry flows
- Name:
Personal
- Name Part
- Luo, Xian
- Role
- Role Term:
Text
- creator
- Origin Information
- Copyright Date
(keyDate="yes", encoding="w3cdtf")
- 2009
- Physical Description
- Extent
- xxiv, 206 p.
- digitalOrigin
- born digital
- Note
- Thesis (Ph.D.) -- Brown University (2009)
- Name:
Personal
- Name Part
- Karniadakis, George
- Role
- Role Term:
Text
- director
- Name:
Personal
- Name Part
- Maxey, Martin
- Role
- Role Term:
Text
- reader
- Name:
Personal
- Name Part
- Shu, Chi-Wang
- Role
- Role Term:
Text
- reader
- Name:
Personal
- Name Part
- Beskok, Ali
- Role
- Role Term:
Text
- reader
- Name:
Corporate
- Name Part
- Brown University. Applied Mathematics
- Role
- Role Term:
Text
- sponsor
- Genre (aat)
- theses
- Abstract
- We combine the spectral element method with the smoothed profile method (SPM) to obtain an efficient method for flows with moving boundaries in complex geometries. SPM uses a fixed
non-conforming computational mesh and represents the particles by indicator functions to construct a penalty force term in the Navier-Stokes equations. The method is similar to the immersed
boundary method in that they both use a force distribution to effectively impose the constraints on the fluid motion to approximate the boundary conditions. However, for spectral element
discretizations, the smooth profile of SPM leads to high order accuracy. While the original method employs a fully-explicit time-integration scheme, we develop a high-order semi-implicit
splitting scheme to improve accuracy and stability. We first analyze the error of the hybrid method for several prototype flow problems. We show that the modeling error of SPM is a non-monotonic
function of the time step size and the interface thickness of the smooth profile. The optimum time step size balances the thickness of the Stokes layer and that of the profile interface.
Subsequently, we propose an extension of SPM to simulate {\em electrohydrodynamic flows} allowing for spatially varying electrical conductivities. In addition to the Navier-Stokes equations, the
Poisson-Boltzmann and electric charge continuity equations are also cast into forms based on SPM. The method is verified by benchmark problems of electroosmotic flow in straight channels and
electrophoresis of charged insulating cylinders. We also present simulations on the electrophoresis of charged microtubules, and show that the simulated electrophoretic mobility and anisotropy
agree with the experimental results. In the last part we present numerical simulation results for engineering flows involving three-dimensional moving domains. In particular, the flow patterns
around the vortex-induced vibrations of two tandem cylinders are successfully resolved, and results are also shown for a rotating three-bladed propeller in a duct which can be used in waterjet
propulsion. Compared to the simulation results based on an arbitrary Lagrangian Euler formulation, SPM yields satisfactory agreement, yet it is computationally much cheaper allowing for fast
three-dimensional simulations on a laptop.
- Subject (Local)
- Topic
- modeling method for particulate flows,electrokinetic flows
- Subject (Local)
- Topic
- moving boundaries
- Record Information
- Record Content Source (marcorg)
- RPB
- Record Creation Date
(encoding="iso8601")
- 20091218
- Language
- Language Term:
Code (ISO639-2B)
- eng
- Language Term:
Text
- English
- Identifier:
DOI
- 10.7301/Z0VT1QBN
- Access Condition:
rights statement
(href="http://rightsstatements.org/vocab/InC/1.0/")
- In Copyright
- Access Condition:
restriction on access
- Collection is open for research.
- Type of Resource (primo)
- dissertations