A Freestream-Preserving High-Order Finite-Volume Method for Mapped Grids with Adaptive-Mesh Refinement [electronic resource].
Published
Washington, D.C. : United States. Dept. of Energy, 2011. Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
A fourth-order accurate finite-volume method is presented for solving time-dependent hyperbolic systems of conservation laws on mapped grids that are adaptively refined in space and time. Novel considerations for formulating the semi-discrete system of equations in computational space combined with detailed mechanisms for accommodating the adapting grids ensure that conservation is maintained and that the divergence of a constant vector field is always zero (freestream-preservation property). Advancement in time is achieved with a fourth-order Runge-Kutta method.
Published through SciTech Connect. 12/16/2011. "llnl-conf-520651" Presented at: 50th AIAA Aerospace Sciences Meeting, Nashville, TN, United States, Jan 09 - Jan 12, 2012. Guzik, S; McCorquodale, P; Colella, P.