Close Search Advanced
Journals
Resources
About Us
Open Access

A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh
Preview
Add to basket

Year:    2015

Communications in Computational Physics, Vol. 17 (2015), Iss. 3 : pp. 615–656

Abstract

High-order discretization techniques offer the potential to significantly reduce the computational costs necessary to obtain accurate predictions when compared to lower-order methods. However, efficient and universally-applicable high-order discretizations remain somewhat illusive, especially for more arbitrary unstructured meshes and for incompressible/low-speed flows. A novel, high-order, central essentially non-oscillatory (CENO), cell-centered, finite-volume scheme is proposed for the solution of the conservation equations of viscous, incompressible flows on three-dimensional unstructured meshes. Similar to finite element methods, coordinate transformations are used to maintain the scheme's order of accuracy even when dealing with arbitrarily-shaped cells having non-planar faces. The proposed scheme is applied to the pseudo-compressibility formulation of the steady and unsteady Navier-Stokes equations and the resulting discretized equations are solved with a parallel implicit Newton-Krylov algorithm. For unsteady flows, a dual-time stepping approach is adopted and the resulting temporal derivatives are discretized using the family of high-order backward difference formulas (BDF). The proposed finite-volume scheme for fully unstructured mesh is demonstrated to provide both fast and accurate solutions for steady and unsteady viscous flows.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.091013.281114a

Communications in Computational Physics, Vol. 17 (2015), Iss. 3 : pp. 615–656

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    42

Keywords:   

  1. High order direct Arbitrary-Lagrangian-Eulerian (ALE) PP schemes with WENO Adaptive-Order reconstruction on unstructured meshes

    Boscheri, Walter | Balsara, Dinshaw S.

    Journal of Computational Physics, Vol. 398 (2019), Iss. P.108899

    https://doi.org/10.1016/j.jcp.2019.108899 [Citations: 24]
  2. Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016

    A Parallel High-Order CENO Finite-Volume Scheme with AMR for Three-Dimensional Ideal MHD Flows

    Freret, Lucie | Groth, Clinton P. T. | De Sterck, Hans

    2017

    https://doi.org/10.1007/978-3-319-65870-4_24 [Citations: 3]

  3. A High-Order Finite-Volume Method with Anisotropic AMR for Ideal MHD Flows

    Freret, Lucie | Ivan, Lucian | De Sterck, Hans | Groth, Clinton P.

    55th AIAA Aerospace Sciences Meeting, (2017),

    https://doi.org/10.2514/6.2017-0845 [Citations: 4]

  4. High-Order CENO Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows

    Freret, L. | Ngigi, C. N. | Nguyen, T. B. | De Sterck, H. | Groth, C. P. T.

    Journal of Scientific Computing, Vol. 94 (2023), Iss. 3

    https://doi.org/10.1007/s10915-022-02068-3 [Citations: 0]

  5. Anisotropic goal‐oriented error analysis for a third‐order accurate CENO Euler discretization

    Carabias, A. | Belme, A. | Loseille, A. | Dervieux, A.

    International Journal for Numerical Methods in Fluids, Vol. 86 (2018), Iss. 6 P.392

    https://doi.org/10.1002/fld.4423 [Citations: 5]
  6. Mesh Adaptation for Computational Fluid Dynamics 2

    References

    2022

    https://doi.org/10.1002/9781394164028.refs [Citations: 0]

  7. Applications of a central ENO and AUSM schemes based compressible N-S solver with reconstructed conservative variables

    Spinelli, Gregorio Gerardo | Celik, Bayram

    Computers & Fluids, Vol. 227 (2021), Iss. P.105028

    https://doi.org/10.1016/j.compfluid.2021.105028 [Citations: 4]

  8. An implicit high-order k-exact finite-volume approach on vertex-centered unstructured grids for incompressible flows

    Setzwein, Florian | Ess, Peter | Gerlinger, Peter

    Journal of Computational Physics, Vol. 446 (2021), Iss. P.110629

    https://doi.org/10.1016/j.jcp.2021.110629 [Citations: 15]

  9. A finite volume coupled level set and volume of fluid method with a mass conservation step for simulating two‐phase flows

    Lyras, Konstantinos G. | Lee, Jack

    International Journal for Numerical Methods in Fluids, Vol. 94 (2022), Iss. 8 P.1027

    https://doi.org/10.1002/fld.5082 [Citations: 5]

  10. An Improved Second-Order Finite-Volume Algorithm for Detached-Eddy Simulation Based on Hybrid Grids

    Zhang, Yang | Zhang, Laiping | He, Xin | Deng, Xiaogang

    Communications in Computational Physics, Vol. 20 (2016), Iss. 2 P.459

    https://doi.org/10.4208/cicp.190915.240216a [Citations: 5]

  11. High-Order Finite-Volume Scheme with Anisotropic Adaptive Mesh Refinement: Efficient Inexact Newton Method for Steady Three-Dimensional Flows

    Freret, Lucie | Groth, Clinton P. | Nguyen, Thien Binh | De Sterck, Hans

    23rd AIAA Computational Fluid Dynamics Conference, (2017),

    https://doi.org/10.2514/6.2017-3297 [Citations: 2]
  12. Magnetohydrodynamic Modeling of the Solar Corona and Heliosphere

    Cell-Centered Finite Volume Methods

    Feng, Xueshang

    2020

    https://doi.org/10.1007/978-981-13-9081-4_2 [Citations: 1]

  13. High‐order implicit time‐stepping with high‐order central essentially‐non‐oscillatory methods for unsteady three‐dimensional computational fluid dynamics simulations

    Nguyen, T. Binh | De Sterck, Hans | Freret, Lucie | Groth, Clinton P. T.

    International Journal for Numerical Methods in Fluids, Vol. 94 (2022), Iss. 2 P.121

    https://doi.org/10.1002/fld.5049 [Citations: 2]

  14. High-Order Finite-Volume Method with Block-Based AMR for Magnetohydrodynamics Flows

    Freret, L. | Ivan, L. | De Sterck, H. | Groth, C. P. T.

    Journal of Scientific Computing, Vol. 79 (2019), Iss. 1 P.176

    https://doi.org/10.1007/s10915-018-0844-1 [Citations: 13]

  15. A hybrid pressure–density-based Mach uniform algorithm for 2D Euler equations on unstructured grids by using multi-moment finite volume method

    Xie, Bin | Deng, Xi | Sun, Ziyao | Xiao, Feng

    Journal of Computational Physics, Vol. 335 (2017), Iss. P.637

    https://doi.org/10.1016/j.jcp.2017.01.043 [Citations: 27]

  16. Application of Both Anisotropic AMR and High-Order Finite-Volume Schemes to Large Eddy Simulation of a Bluff-Body-Stabilized Premixed Flame

    Groth, Clinton P.

    2018 AIAA Aerospace Sciences Meeting, (2018),

    https://doi.org/10.2514/6.2018-0151 [Citations: 0]

  17. Enhanced anisotropic block-based adaptive mesh refinement for three-dimensional inviscid and viscous compressible flows

    Freret, Lucie | Williamschen, Michael | Groth, Clinton P.T.

    Journal of Computational Physics, Vol. 458 (2022), Iss. P.111092

    https://doi.org/10.1016/j.jcp.2022.111092 [Citations: 5]