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Showing 1 to 3 of 3 for “"Godunov method"”.
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The numerical study of 3-dimensional laminar hypersonic blunt-fin interactions
… in time. The inviscid part uses a first order Godunov method with a HLLC approximate Riemann solver; second order accuracy is achieved through the MUSCL approach. The viscous contribution is modeled by a centered difference scheme. An iterative matrix solver is used to advance the implicit …
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On Shock Capturing for Liquid and Gas Media
… pseudo-conservative system. A shock capturing method developed for this purpose is applied to solving the Riemann problem for pure water with general (UNESCO (8)) equation of state.</p> <p>A second objective of this research is the development of front tracking methods which possess sub-grid …
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An Extension of Essentially Non-Oscillatory Shock-Capturing Schemes to Multi-Dimensional Systems of Conservation Laws
… 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 non-oscillatory (ENO) piecewise polynomial reconstruction procedure, which yields high-order pointwise information …