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

Guzik, S; McCorquodale, P; Colella, P

doi:10.2514/6.2012-574

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

Conference · Fri Dec 16 04:00:00 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 Laboratory (LLNL), Livermore, CA

Sponsoring Organization:: USDOE

DOE Contract Number:: W-7405-ENG-48

OSTI ID:: 1034480

Report Number(s):: LLNL-CONF-520651

Country of Publication:: United States

Language:: English

References (7)

High-order, finite-volume methods in mapped coordinates Colella, P.; Dorr, M. R.; Hittinger, J. A. F. Journal of Computational Physics, Vol. 230, Issue 8 https://doi.org/10.1016/j.jcp.2010.12.044	journal	April 2011
A high-order finite-volume method for conservation laws on locally refined grids McCorquodale, Peter; Colella, Phillip Communications in Applied Mathematics and Computational Science, Vol. 6, Issue 1 https://doi.org/10.2140/camcos.2011.6.1	journal	January 2011
A limiter for PPM that preserves accuracy at smooth extrema Colella, Phillip; Sekora, Michael D. Journal of Computational Physics, Vol. 227, Issue 15 https://doi.org/10.1016/j.jcp.2008.03.034	journal	July 2008
Adaptive mesh refinement on moving quadrilateral grids Bell, John; Colella, Phillip; Trangenstein, John 9th Computational Fluid Dynamics Conference https://doi.org/10.2514/6.1989-1979	conference	February 2013
The numerical simulation of two-dimensional fluid flow with strong shocks Woodward, Paul; Colella, Phillip Journal of Computational Physics, Vol. 54, Issue 1 https://doi.org/10.1016/0021-9991(84)90142-6	journal	April 1984
On Conservation at Grid Interfaces Berger, Marsha J. SIAM Journal on Numerical Analysis, Vol. 24, Issue 5 https://doi.org/10.1137/0724063	journal	October 1987
Local adaptive mesh refinement for shock hydrodynamics Berger, M. J.; Colella, P. Journal of Computational Physics, Vol. 82, Issue 1 https://doi.org/10.1016/0021-9991(89)90035-1	journal	May 1989

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Related Subjects

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

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

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References (7)

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