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A relaxed a posteriori MOOD algorithm for multicomponent compressible flows using high-order finite-volume methods on unstructured meshes

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  • Tsoutsanis, Panagiotis
  • Pavan Kumar, Machavolu Sai Santosh
  • Farmakis, Pericles S.

Abstract

In this paper the relaxed, high-order, Multidimensional Optimal Order Detection (MOOD) framework is extended to the simulation of compressible multicomponent flows on unstructured meshes. The diffuse interface methods (DIM) paradigm is used that employs a five-equation model. The implementation is performed in the open-source high-order unstructured compressible flow solver UCNS3D. The high-order CWENO spatial discretisation is selected due to its reduced computational footprint and improved non-oscillatory behaviour compared to the original WENO variant. Fortifying the CWENO method with the relaxed MOOD technique has been necessary to further improve the robustness of the CWENO method. A series of challenging 2-D and 3-D compressible multicomponent flow problems have been investigated, such as the interaction of a shock with a helium bubble, and a water droplet, and the shock-induced collapse of 2-D and 3-D bubbles arrays. Such problems are generally very stiff due to the strong gradients present, and it has been possible to tackle them using the extended MOOD-CWENO numerical framework.

Suggested Citation

  • Tsoutsanis, Panagiotis & Pavan Kumar, Machavolu Sai Santosh & Farmakis, Pericles S., 2023. "A relaxed a posteriori MOOD algorithm for multicomponent compressible flows using high-order finite-volume methods on unstructured meshes," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    • Handle: RePEc:eee:apmaco:v:437:y:2023:i:c:s009630032200618x
    DOI: 10.1016/j.amc.2022.127544
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    References listed on IDEAS

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    1. Simmonds, Nicholas & Tsoutsanis, Panagiotis & Antoniadis, Antonis F. & Jenkins, Karl W. & Gaylard, Adrian, 2018. "Low-Mach number treatment for Finite-Volume schemes on unstructured meshes," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 368-393.
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