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 10 of 10 for “"Moving boundary problem"”.
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On a Moving Boundary Problem of Transitional Ballistics
<p>A major problem which arises in computer simulation of the firing of a gun weapon is the development of numerical schemes which effectively account for the physics of projectile motion. The chief difficulty is that away from the projectile the calculation is ordinarily accomplished on a fixed …
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Mathematical Modeling and Scanning Electron Microscopic Study of Biofilm on Adsorptive Media (Orthogonal Collocation Method)
… substrate diffuses in a growing biofilm (moving boundary problem); the reaction term is nonlinear; and substrate diffuses in a layered-media. An advanced numerical technique, the Global Orthogonal Collocation Method, was employed to solve the model.
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New results in stochastic moving boundary problems
Moving boundary problems arise in many areas of science and engineering and they are of great importance in the areas of partial differential equations (PDEs) since they characterize phase change phenomena where a system has two phases such as solid and liquid. However, unlike other PDEs in a …
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Nonlinear simulation of tumor growth and chemotherapy
We implement numerically a model for free boundary necrotic and non-necrotic tumor growth and chemotherapy, where the tumor-healthy tissue interface is a moving deformable boundary. In the process, we improve upon existing techniques and develop new finite difference and ghost fluid / level set …
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Multiscale Mathematical Modelling of Cancer Invasion
… concept by applying a level-set method to a moving boundary problem. Later, a multi-scale mathematical model of cancer invasion was developed by coupling the urokinase plasminogen activation (uPA) system with a two-scale computational modelling technique. This approach allows us to …
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A numerical method for electro-kinetic flow with deformable interfaces
… and fluid dynamics in the Debye layer into a boundary integral numerical solution of the full moving boundary problem. We present solutions for the quasi-steady state problem with [psi] = O(1) and solutions for the time dependent problem with [psi] [netsted less less] 1, where [psi] is the …
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Numerical study of the nonlinear dynamics of the acoustic drops and bubbles
… physical nature is characterized by a nonlinear moving-boundary problem complicated by the interfacial stress interaction between two domains, each governed by their own dynamical systems respectively. In this thesis, the dynamics of an acoustically levitated drop is investigated. A low …
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Pressure- and rate-transient model for interfering horizontal wells
… wells. The sector is divided into blocks for a boundary-element approach, which is simplified by incorporating the trilinear flow assumption. The transient flow problem for each block is solved analytically in Laplace domain and coupled with the neighboring blocks through pressure and flux …
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Control of constrained moving-boundary process with application to steel continuous casting
… control techniques for coping with the nonlinear moving boundary problem dynamics. The present work provides several key building blocks towards a comprehensive solution of the continuous steel casting feedback control problem. In the first part of this dissertation, a mathematical model of the …