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 “"Hyperbolic PDEs"”.
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Optimal and Feedback Control for Hyperbolic Conservation Laws
This dissertation studies hyperbolic partial differential equations for Conservation Laws motivated by traffic control problems. New traffic models for multi-directional flow in two dimensions are derived and their properties studied. Control models are proposed where the control variable is a …
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Paracausal deformations, M{\o}ller operators, and Hadamard states in CCR AQFT.
… the structure of the space of globally hyperbolic metric tensors associated with a smooth manifold $\M$. Then the classical M{\o}ller maps are constructed to compare solutions of the hyperbolic PDEs defining the classical field theories and the quantum M{\o}ller $*$-isomorphisms follow …
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Numerical relativity in black hole spacetimes
… differencing, using the method of lines for hyperbolic PDEs. To study these and our black hole exclusion technique in a simple setting, we have made a series of model problem studies using a 1-dimensional flat-space scalar wave equation. These have been very successful, yielding a stable and …
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Development of a high-order accurate reservoir simulator using spectral element method
… system of partial differential equations (PDEs) with elliptic-parabolic nature in general. Under certain conditions, the governing equations can become elliptic-hyperbolic in nature. Computational challenges in numerically solving PDEs with discontinuous solutions or discontinuous data are …
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Modelling cardiopulmonary interactions. Towards anatomically detailed and physiologically accurate cardiorespiratory models
… method for the solution of non-conservative hyperbolic PDEs with source terms, able to accurately describe steady-state solutions in the presence of algebraic and/or geometric source terms. The second part of this thesis focuses on the verification, validation and application of increasingly …
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Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media
We present immersed discontinuous Galerkin finite element methods for one and two dimensional acoustic wave propagation problems in inhomogeneous media where elements are allowed to be cut by the material interface. The proposed methods use the standard discontinuous Galerkin finite element …
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NUMERICAL METHODS FOR MULTIPHASE FLOWS: FROM A SIMPLIFIED INCOMPRESSIBLE BAER-NUNZIATO MODEL TO A UNIFIED THEORY OF COMPRESSIBLE MULTIPHASE FLUID AND SOLID MECHANICS
… model within the framework of Symmetric Hyperbolic Thermodynamically Compatible (SHTC) theory and its numerical solution are of relevant interest in the work presented in this thesis. Concerning the details of my research work, I begin by addressing the problem of a reduced BN-type model …
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A Unified Framework for Simulating Impact-Induced Detonation of a Combustible Material in an Elasto-Plastic Confiner
A new framework for the computational simulation of problems arising in continuum me- chanics is presented. It is unified in the sense that it can describe all three major phases of matter within the same set of equations. It is able to represent inviscid fluids, Newtonian and non-Newtonian viscous …