This content will become publicly available on December 20, 2016
A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement
We present a fourth-order accurate finite-volume method for solving time-dependent hyperbolic systems of conservation laws on mapped grids that are adaptively refined in space and time. Some novel considerations for formulating the semi-discrete system of equations in computational space are combined with detailed mechanisms for accommodating the adapting grids. Furthermore, these considerations ensure that conservation is maintained and that the divergence of a constant vector field is always zero (freestream-preservation property). The solution in time is advanced with a fourth-order Runge-Kutta method. A series of tests verifies that the expected accuracy is achieved in smooth flows and the solution of a Mach reflection problem demonstrates the effectiveness of the algorithm in resolving strong discontinuities.
- Colorado State Univ., Fort Collins, CO (United States). Computational Fluid Dynamics and Propulsion Lab.
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Applied Numerical Algorithms Group
- Publication Date:
- OSTI Identifier:
- Grant/Contract Number:
- AC02-05CH11231; AC52-07NA27344; EE0006086
- Accepted Manuscript
- Journal Name:
- Computers and Fluids
- Additional Journal Information:
- Journal Volume: 123; Journal Issue: C; Journal ID: ISSN 0045-7930
- Research Org:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
- Country of Publication:
- United States
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; High-order finite-volume method; Freestream-preserving; Mapped grids; Adaptive-mesh refinement; Finite-volume method; Hyperbolic conservation laws
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