Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 65 for “"Navier-Stokes Equation"”.
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Hilbert Space Projections and the Navier-Stokes Equation
Unfortunately, but not surprisingly, there arises a closure difficulty: the reduced set of physically admissible measures is still large. In this thesis a particular subclass of admissible measures is studied using the physically based theory of high field sensitivity. The projection associated …
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A numerical solution of the Navier-Stokes equation in a rectangular basin
vii, 159 leaves : ill., graphs, tables ; 30 cm.
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An iterative pressure-correction method for the unsteady incompressible Navier-Stokes Equation
… projection method for the incompressible Navier-Stokes equation is approached as a preconditioned Richardson iterative method for the pressure- Schur complement equation. Typical pressure correction methods perform only one iteration and suffer from a splitting error that results in a …
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Algebraic multigrid for stabilized finite element discretizations of the Navier Stokes equation
… multilevel method for the solution of systems of equations generated by stabilized Finite Element discretizations of the Euler and Navier Stokes equations on generalized unstructured grids is described. The method is based on an elemental agglomeration multigrid which produces a hierarchical …
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Nodal Methods for Problems in Fluid Mechanics and Neutron Transport (navier-Stokes Equation, Boussinesq, Lid-Driven Cavity, Natural Thermal Convection, Diffusion Synthetic Acceleration)
… solution of linear partial differential equations. It is shown that various special cases of this general nodal integral approach correspond to several high-efficiency nodal methods developed recently for the numerical solution of neutron diffusion and neutron transport problems.
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Peridynamics and Applications
… mechanics theory using integro-differential equations without spatial derivatives. Unlike the classical continuum mechanics, peridynamics possesses certain advantages when solving problems involving cracks. In the beginning of the thesis, an analytical solution to the vibration problem via …
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Transient state analysis of separated flow around a sphere
<p>"Transient state solution of the Navier Stokes equation was obtained for incompressible flow around a sphere accelerating from zero initial velocity to its terminal free falling velocity. By assuming rotational symmetry around the axis in the falling direction, the Navier Stokes equation and the …
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Modeling the chemical, diffusional, and thermal processes of a microreactor
… is fully described by energy, momentum, and mass equations, all of which are highly coupled by their dependence on temperature. Using the work done on the S[mu]RE IV microreactor as a basis, this undergraduate thesis implements the relevant equations of a general microreactor model in the finite …
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Complex flow and transport phenomena in porous media
This thesis analyzes partial differential equations related to the coupled surface and subsurface flows and develops efficient high order discontinuous Galerkin (DG) methods to solve them numerically. Specifically, the coupling of the Navier-Stokes and the Darcy's equations, which is encountered in …
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Development of a two-dimensional model of blood microcirculation flows
… the streamfunction-vorticity formulation of the Navier-Stokes equation, which offers simplification to boundary conditions and also allows for the use of a non-uniform, collocated mesh. A streamfunction vorticity formulation of the Immersed Boundary Method is also developed, specifically for the …
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Shock formation properties of continuum and kinetic models
… scheme to solve 1-D Bhatnagar-Gross-Krook model equations and examine the formation of a stationary viscous shock. Obtained results are compared to a stationary numerical solution of 1-D Navier-Stokes equation with a similar set of shock forming conditions.
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DEVELOPING A COUPLED MICROSTRUCTURE FLUID FLOW MODEL FOR SOLIDIFICATION IN ADDITIVE MANUFACTURING
… model for solidification, coupled with the Navier-Stokes equation for fluid dynamics. Using the Finite Element Method (FEM) based library, FEniCS, we present our current development of the multiphysics approach needed. In this talk, we describe the model contributions of each physics …
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Inherent Instabilities and Discontinuities: The Kuramoto-Sivashinsky Equation and a Suspension Flow as Exemplars
… at small times in the Kuramoto Sivashinsky equation, formulated as a perturbation of the kinematic-wave equation. This instability is invisible to regular matched asymptotic expansions, which, at small times, see no deviation in the leading-order solution from the kinematic-wave solution. …
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Coherent structures in incompressible fluid flows
… numerically-extracted solutions of the Navier-Stokes equations (the "exact'') and localized/patterned turbulent spots that are not themselves solutions of the Navier-Stokes equation but are nonetheless pervasive during the transition (the "inexact''). High-dimensional descriptions of …
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Exact coherent structures in spatiotemporal chaos: From qualitative description to quantitative predictions
… is described by nonlinear partial differential equations. It is well known from the studies of low dimensional chaotic systems that the state space, the space of solutions to the governing dynamical equations, is shaped by the invariant sets such as equilibria, periodic orbits, and invariant …
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Magnetic iron oxide nanoparticles: synthesis, characteristics, magnetic behavior, and biomedical applications
… the fluid drag force is calculated by using the Navier-Stokes equation. The trajectory function for this model is calculated, and the trajectories are drawn for specific cases.
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Taming of Complex Dynamical Systems
… of solutions to systems of differential equations is well understood and has a long history. However, the problem of proving global existence and uniqueness is more difficult and fails even for some very simple ordinary differential equations. It is still not known if the 3D Navier-Stokes …
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Simulation of liquid induced annulus wall boundary layer in a pipe flow, with dense net of jet cross flows
… multiphase Eulerian model with pressure based Navier-Stokes equation and SST (k-omega) turbulence model. The effect of various boundary conditions on the annulus development was analysed. The jet streams‘ hole diameter and distribution density and core flow‘s velocity and density. Results of …
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Numerical Analysis of Gun Barrel Pressure Blast Using Dynamic Mesh Adaption
… which must be derived from the Noble-Abel equation of state. The unsteady, axisymmetric Navier Stokes equation systems were numerically solved using the Advection Upstream Splitting Method (AUSM) scheme; with third-order Monotone Upstream centered Scheme for Conservation Laws (MUSCL) …
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Description and reconstruction of microscopic random heterogenous media in order to estimate macroscopic hydraulic functions
… (with x-ray tomography), a lattice-Boltzmann Navier-Stokes equation solver was used to calculate the velocity field and the hydraulic conductivity. Additionally, the pressure-saturation relation of a primary drainage process was derived from a pore-morphology-based model. For both hydraulic …
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