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Showing 1 to 4 of 4 for “"high order numerical method"”.
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A High Order Numerical Method for the Solution of the Advection Equation
<p> This report presents a numerical method which can be used to solve the advection equation </p> <p> (∂ɸ/∂t) + (∂[u(x,t)ɸ]/∂x) = S(x,t) </p> where: </p> <p> ɸ ≣ concentration field </p> <p> u(x,t) ≣ velocity field </p> <p> S(x,t) ≣ source term </p> <p> Central to this method are the concept of …
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High Order Explicit Semi-Lagrangian Method for the Solution of Lagrangian Transport and Stochastic Differential Equations
<p>A semi-Lagrangian method is developed for the solution of Lagrangian transport equations and stochastic differential equations that is consistent with Discontinuous Spectral Element Method (DSEM) approximations of Eulerian conservation laws. The method extends the favorable properties of DSEM …
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Finite-element simulations of interfacial flows with moving contact lines
… we develop an interface-preserving level-set method in the finite-element framework for interfacial flows with moving contact lines. In our method, the contact line is advected naturally by the flow field. Contact angle hysteresis can be easily implemented without explicit calculation of the …
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Modelling cardiopulmonary interactions. Towards anatomically detailed and physiologically accurate cardiorespiratory models
… the first part of this thesis presents the methodological framework, detailing the different components of our model and the numerical methods necessary for an accurate solution of the coupled 1D blood flow-transport system. We describe the vascular networks employed for simulations, …