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Showing 1 to 4 of 4 for “"central schemes"”.
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Black oil simulation utilizing a central finite volume scheme
… reservoirs. This research validates the use of a central high resolution finite volume scheme developed by Kurganov and Tadmor (KT) to the black-oil model problem. The KT scheme is desirable because of its relative ease of implementation and its ability to generate high resolution solutions at low …
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DGM-FD: A Finite Difference Scheme Based on the Discontinuous Galerkin Method
… element methods are commonly used numerical schemes in CAA. Finite difference methods have the advantages of ease of use as well as high order convergence, but often require a uniform grid, and stable boundary closure can be non-trivial. Finite element methods adapt well to different mesh …
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Computational studies of nonlinear dispersive plasma systems
… results on the application of non-oscillatory central schemes to Hall MHD reconnection problems, in which the presence of dispersive whistler waves presents a formidable challenge for numerical algorithms that rely on explicit time-stepping schemes. In particular, we focus on the semi-discrete …
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Riemannian geometry of matrix manifolds for Lagrangian uncertainty quantification of stochastic fluid flows
… developing new rigorous reduced-order advection schemes, the second part of this work investigates the mathematical foundations of the method. Riemannian geometry providing an appropriate setting, a framework free of tensor notations is used to analyze the embedded geometry of three popular …