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Showing 1 to 4 of 4 for “"Shock-capturing schemes"”.
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An Extension of Essentially Non-Oscillatory Shock-Capturing Schemes to Multi-Dimensional Systems of Conservation Laws
<p>In recent years, a class of numerical schemes for solving hyperbolic partial differential equations has been developed which generalizes the first-order method of Godunov to arbitrary order of accuracy. High-order accuracy is obtained, wherever the solution is smooth, by an essentially …
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On Shock Capturing for Liquid and Gas Media
<p>The numerical investigation of shock phenomena in gas or liquid media where a specifying relation for internal energy is absent poses special problems. Classically, for gas dynamics the usual procedure is to employ a splitting scheme to remove the source terms from the Euler equations, then …
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Next Generation Algorithms for Magnetically Confined Fusion Reactor Simulations
… equilibria, ensuring high-order accuracy, capturing shocks, and maintaining the divergence-free condition of the magnetic field. Adaptive multi-grid solvers are used to compute steady-state plasma equilibria, while sharp-interface finite volume methods resolve transient visco-resistive MHD …
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Eindimensionale Berechnung instationärer und diskontinuierlicher Strömungen in abflussschwachen naturnahen Fließgewässern
… This work deals with the use of high-resolution shock-capturing schemes to solve steady and unsteady one-dimensional flows with steep waves in rivers. The Godunov first order upwind scheme is utilized to compute flows with bottom slope and friction terms. Additionally, a high-resolution TVD …