Global ETD Search
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Showing 1 to 4 of 4 for “"hyperbolic conservation law"”.
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Invariant-region-preserving discontinuous Galerkin methods for systems of hyperbolic conservation laws
… discontinuous Galerkin (DG) schemes solving hyperbolic conservation law systems. In particular, our focus is on designing an IRP limiter to modify the numerical solution and identifying sufficient conditions for IRP DG schemes by extending Zhang and Shu's work on positivity-preserving schemes …
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The interaction of shock waves and dispersive waves
… shock formation. This nonlinear equation is a hyperbolic conservation law forced by the dispersive wave.
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Black oil simulation utilizing a central finite volume scheme
… costs. In addition, convergence rates on simple hyperbolic conservation law problems provided in this thesis indicate that the KT scheme is second order. Results obtained from simulations are in alignment with published literature and simulations also accommodate changing variables with …
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Numerical simulation and modeling of two-phase flows using the volume-of-fluid method
… due to its unique features such as mass conservation and interface sharpness. In this work, we extend the traditional use of the VOF method to a Lagrangian framework that complements the Eulerian description. The color function C is used to create a Lagrangian mapping of the dispersed …