On high-order shock-fitting and front-tracking schemes for numerical simulation of shock–disturbance interactions

Journal Article · Wed Sep 01 00:00:00 EDT 2010 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2010.05.021· OSTI ID:1107652

Rawat, Pradeep Singh ^[1]; Zhong, Xiaolin

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1. University of California, Los Angeles

High-order methods that can resolve interactions of flow-disturbances with shock waves are critical for reliable numerical simulation of shock wave and turbulence interaction. Such problems are not well understood due to the limitations of numerical methods. Most of the popular shock-capturing methods are only first-order accurate at the shock and may incur spurious numerical oscillations near the shock. Shock-fitting algorithms have been proposed as an alternative which can achieve uniform high-order accuracy and can avoid possible spurious oscillations incurred in shock-capturing methods by treating shocks as sharp interfaces. We explore two ways for shock-fitting: conventional moving grid set-up and a new fixed grid set-up with front tracking. In the conventional shock-fitting method, a moving grid is fitted to the shock whereas in the newly developed fixed grid set-up the shock front is tracked using Lagrangian points and is free to move across the underlying fixed grid.

• Research Organization: Univ. of California, Los Angeles, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: FC02-06ER25797
• OSTI ID: 1107652
• Report Number(s): DOE/ER/25797-9
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 19 Vol. 229; ISSN 0021-9991
• Publisher: Elsevier
• Country of Publication: United States
• Language: English