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Showing 1 to 20 of 1330 for “"Stokes"”.
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Least squares finite element methods for the Stokes and Navier-Stokes equations
… least squares finite element methods for the Stokes and Navier-Stokes equations that are practical and optimal in a systematic and rigorous way. To accomplish this task we begin by developing the least squares theory for the linear Stokes equations. We introduce least squares methods based on …
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On slowly varying Stokes waves.
Massachusetts Institute of Technology. Dept. of Civil Engineering. Thesis. 1970. Ph.D.
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Inhomogeneous Stokes flow through porous media
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 1995.
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Analysis of the Navier--Stokes-αβ equations
… prove various analytic results for the Navier--Stokes-αβ equations. We establish well-posedness and regularity. In addition we determine estimates for the nodal distance and the number of determining modes. A method of averaging is developed and applied to derive a Kaman--Howarth type equation …
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The Navier-Stokes equations for elliptic quasicomplexes
The classical Navier-Stokes equations of hydrodynamics are usually written in terms of vector analysis. More promising is the formulation of these equations in the language of differential forms of degree one. In this way the study of Navier-Stokes equations includes the analysis of the de Rham …
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Unstable stokes waves in constant vorticity flows
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2026-12-01
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Coherent anti-Stokes Raman spectroscopy of diamond
… were performed to investigate Coherent Anti-Stokes Raman Scattering (CARS) in diamond. Aspects of this type of non-linear scattering are presented theoretically, and various experimental configurations were attempted in order to study them. These included the dependence of the CARS signal …
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Generalized Navier-Stokes equations for active turbulence
… approach generalizes the incompressible Navier-Stokes equations by accounting for active stresses through a linear instability mechanism, in contrast to externally driven classical turbulence. This minimal model can reproduce experimentally observed velocity statistics and is analytically …
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Stabilized finite elements for compressible turbulent Navier-Stokes
… turbulent flows. The Reynolds averaged Navier-Stokes (RANS) equations and modified Spalart-Almaras (SA) turbulence model are discretized using the streamline/upwind Petrov-Galerkin (SUPG) scheme. A fully implicit methodology is used to obtain steady state solutions or to drive unsteady problems …
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Stokes polarimetric imaging and applications to novel materials
… thesis, a dual photo elastic modulator-based Stokes polarimetric method for polarization measurement is described, which forms the basis of the operation of a prototype polarimetric microscope. The operational characteristics of the microscope have been characterized in this study and …
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A Class of Stable, Efficient Navier-Stokes Solvers
We study a class of numerical schemes for Navier-Stokes equations (NSE) or Stokes equations (SE) for incompressible fluids in a bounded domain with given boundary value of velocity. The incompressibility constraint and non-slip boundary condition have made this problem very challenging. Their …
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Backward stochastic Navier-Stokes equations in two dimensions
… also established. The backward stochastic Navier-Stokes equations (BSNSEs, for short) corresponding to incompressible fluid flow in a bounded domain $G$ are studied in the second part. Suitable a priori estimates for adapted solutions of the BSNSEs are obtained which reveal a surprising pathwise …
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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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Operator splitting methods for the Navier-Stokes equations
… for the solution of the incompressible Navier-Stokes equations are examined. These algorithms are representative of the two prevalent splitting philosophies used to split the Navier-Stokes equations. The properties of the algorithms are determined by Fourier analysis of a model problem. It is …
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Stokes flows near boundaries: bacteria, corners, and pumps
… we derive the asymptotic behaviour for the Stokeslet (a flow due to a point force at low Reynolds number) both near and far from a corner geometry by using complex analysis on a known double integral solution for corner flows. We analyse flows in acute, obtuse and salient three-dimensional …
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A molecular theory of the Stokes-Einstein relationship
There is now much experimental evidence for a simple relationship between the translational and rotational diffusion constants of a molecule in a liquid and the liquid's shear viscosity. Such a relationship was derived by Einstein using the equations of hydrodynamics, treating the liquid as a …
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Theoretical investigation of Stokes shifts and reaction pathways
… field method performs for the calculation of Stokes shifts for conjugated dyes. We also develop a new reaction path finding method which uses a combination of trigonometric functions and information about the initial and final states in the reaction to generate an approximate path. We show …
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Exponential Integrators for the Incompressible Navier-Stokes Equations
… time integration of the incompressible Navier-Stokes equations (NSE). The method is based on a projection onto the subspace of divergence-free (incompressible) functions interleaved with a Krylov-based exponential time integration (KBEI). These time integration methods provide a high order …
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A parabolized Navier-Stokes method for wind farm applications
… for operational purposes. Conventional Navier-Stokes simulations (commonly referred to as CFD simulations) are computationally very expensive since they require a supercomputer with runtimes of several weeks. A Parabolized Navier-Stokes (PNS) method is developed and implemented in this study. …
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