Shock Transition Solutions of Navier-Stokes Equations with Volume Viscosity for Nitrogen and Air

Hryniewicki, M. K.; Gottlieb, J. J.; Groth, C. P. T.

doi:10.1007/978-3-319-16838-8_133

Cited by 1 publication

(2 citation statements)

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“…As detailed in the inset of Fig. 3, the predicted peak in the specific entropy profiles through the shock front nearly coincides for the solu- The predicted shock wave thickness obtained using the parallel, implicit, finite-volume scheme with anisotropic AMR was found to be accurate to within 0.07 % of the results obtained from standard ODE solutions [54,55], when 23 levels of anisotropic AMR were used. In this research, the shock thickness was calculated from the velocity profile according to the method presented by Taylor and Maccoll [56].…”

Section: Mesh Resolution Study For One-dimensional Stationary Shock Smentioning

confidence: 82%

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Parallel implicit anisotropic block-based adaptive mesh refinement finite-volume scheme for the study of fully resolved oblique shock wave reflections

2015

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A new parallel, fully implicit, anisotropic blockbased adaptive mesh refinement (AMR) finite-volume scheme is proposed, described and demonstrated for the prediction of laminar, compressible, viscous flows associated with unsteady oblique shock reflection processes. The proposed finite-volume method provides numerical solutions to the Navier-Stokes equations governing the flow of polytropic gases in an accurate and efficient manner on twodimensional, body-fitted, multi-block meshes consisting of quadrilateral computational cells. The combination of the anisotropic AMR and parallel implicit time-marching techniques adopted is shown to readily facilitate the simulation of challenging and complex shock interaction problems, as represented by the time-accurate predictions of unsteady oblique shock reflection configurations with fully resolved internal shock structures.Keywords Oblique shock reflections · Parallel implicit finite-volume methods · Anisotropic adaptive mesh refinement (AMR) · Newton-Krylov-Schwarz (NKS)

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Section: Mesh Resolution Study For One-dimensional Stationary Shock Smentioning

confidence: 82%

“…The predictions of the finite-volume scheme were compared to several ODE results for shock-front transitions [54,55]. Such comparisons provide a validation of the high-fidelity CFD solution method in terms of its ability to compute accurate and highly resolved internal shock structures.…”

Section: Mesh Resolution Study For One-dimensional Stationary Shock Smentioning

confidence: 99%

Parallel implicit anisotropic block-based adaptive mesh refinement finite-volume scheme for the study of fully resolved oblique shock wave reflections

2015

Self Cite

View full text Add to dashboard Cite

show abstract

Shock Transition Solutions of Navier-Stokes Equations with Volume Viscosity for Nitrogen and Air

Cited by 1 publication

References 8 publications

Parallel implicit anisotropic block-based adaptive mesh refinement finite-volume scheme for the study of fully resolved oblique shock wave reflections

Parallel implicit anisotropic block-based adaptive mesh refinement finite-volume scheme for the study of fully resolved oblique shock wave reflections

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