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 8 of 8 for “"Navier-Stokes System"”.
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Finite volume schemes for hyperbolic-parabolic systems : error estimates
… frequently used <br>to approximate solutions of systems of hyperbolic balance laws in multi-space dimension. <br>The convergence analysis for the scalar case is well developed, even though <br>not complete up to now. In contrast, very few is known for the case of systems. <br>Following the ideas …
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Numerical simulation of acoustic waves in a rectangular chamber
… governing equations are the viscous compressible Navier-Stokes system, assuming a perfect gas. The numerical method employs a finite difference spatial discretization and semi-implicit time-marching procedure. Verification is accomplished by propagating linear acoustic waves.</p><p>The desired …
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A dynamical systems approach to the study of local phenomena in fluid flows
… utilization of nonlinear tools from dynamical systems theory. In fluid dynamics, prominent examples are Koopman eigenfunctions (through dynamic mode decomposition) and spectral submanifolds. Due to their immense popularity, both of these techniques have been studied extensively, to the point …
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ILU and Machine Learning Based Preconditioning For The Discretized Incompressible Navier-Stokes Equations.
… by the numerical solution of the incompressible Navier-Stokes equations, this thesis studies numerical properties of threshold incomplete LU factorizations for nonsymmetric saddlepoint matrices. We consider preconditioned iterative Krylov-subspace methods, such as GMRES, to solve large and sparse …
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Modeling the Dynamics of Liquid Metal in Fusion Liquid Walls Using Maxwell-Navier-Stokes Equations
… the Maxwell equations in combination with Navier-Stokes equations, it becomes possible to predict the magnetic field even when the fluid is in motion. In this dissertation, a numerical framework utilizing the Maxwell-Navier-Stokes system is explored to successfully capture the deformation …
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Gravity-driven continuous thin film flow over topography
This thesis is directed primarily at a systematic theoretical investigation of gravity-driven thin film flow over various topographical features, the effect of inertia being of particular interest. The problem is solved using a hierarchy of models based, in order of decreasing complexity, on (i) …
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Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes
… solution of the shallow water and incompressible Navier-Stokes equations on staggered unstructured curved meshes. Isoparametric finite elements are used to take into account curved domain boundaries. Regarding two-dimensional shallow water equations, the discrete free surface elevation is defined …
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Leveraging the Linear Response Theory in Sensitivity Analysis of Chaotic Dynamical Systems and Turbulent Flows
… powerful mathematical tools for the analysis of system’s reactions to controllable perturbation. In applied sciences, LRT is particularly useful in approximating parametric derivatives of observables induced by a dynamical system. These derivatives, usually referred to as sensitivities, are …