A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement

Guzik, Stephen M.; Gao, Xinfeng; Owen, Landon D.; McCorquodale, Peter; Colella, Phillip

doi:10.1016/j.compfluid.2015.10.001

Title: A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement

Journal Article · 19 December 2015 · Computers and Fluids

DOI: https://doi.org/10.1016/j.compfluid.2015.10.001 · OSTI ID:1378703

Guzik, Stephen M. ^[1]; Gao, Xinfeng ^[1]; Owen, Landon D. ^[1]; McCorquodale, Peter ^[2]; Colella, Phillip ^[2]

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

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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: AC02-05CH11231; AC52-07NA27344; EE0006086

OSTI ID:: 1378703

Journal Information:: Computers and Fluids, Journal Name: Computers and Fluids Journal Issue: C Vol. 123; ISSN 0045-7930

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Correction: A Fourth-Order Finite-Volume Method with Adaptive Mesh Refinement for the Multifluid Plasma Model Polak, Scott; Gao, Xinfeng 2018 AIAA Aerospace Sciences Meeting, 2018 AIAA Aerospace Sciences Meeting https://doi.org/10.2514/6.2018-2195.c1	conference	January 2018

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71 CLASSICAL AND QUANTUM MECHANICS
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97 MATHEMATICS AND COMPUTING
Adaptive-mesh refinement
Finite-volume method
Freestream-preserving
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Hyperbolic conservation laws
Mapped grids

Title: A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement

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