A Freestream-Preserving High-Order Finite-Volume Method for Mapped Grids with Adaptive-Mesh Refinement

Conference · Fri Dec 16 00:00:00 EST 2011

DOI:https://doi.org/10.2514/6.2012-574· OSTI ID:1034480

Guzik, S; McCorquodale, P; Colella, P

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.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 1034480
• Report Number(s): LLNL-CONF-520651; TRN: US201203%%583
• Resource Relation: Conference: Presented at: 50th AIAA Aerospace Sciences Meeting, Nashville, TN, United States, Jan 09 - Jan 12, 2012
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
97 MATHEMATICAL METHODS AND COMPUTING
CONSERVATION LAWS
RUNGE-KUTTA METHOD
VECTOR FIELDS