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In this paper, an efficient class of high-order TENO schemes with local adaptive dissipation for compressible flow simulation on unstructured meshes is proposed based on three new concepts: (1) a novel reliable troubled-cell indicator is proposed for the unstructured finite-volume method without case-sensitive parameter to tune; (2) different from the classical shock-capturing schemes for unstructured meshes, which conduct characteristic decomposition at each cell interface, an efficient hybrid weighting strategy is proposed by recasting the high-order linear scheme based on conserved variables for smooth flow scales and invoking the nonlinear TENO weighting process in characteristic space for non-smooth flow scales; (3) noticing that the low-order undivided difference deployed in the calculation of the new indicator is more effective in terms of separating the high-wavenumber fluctuations from the genuine discontinuities than the high-order difference, a new adaptive dissipation control strategy is introduced to combine the good numerical robustness for shock waves with the low-dissipation property for broadband physical fluctuations. Without the necessity of parameter tuning case by case, a set of benchmark simulations reveals that the proposed TENO-E scheme features robust shock-capturing capability and state-of-the-art high-resolution properties for highly compressible flows involving strong shock waves and a wide range of flow scales. Moreover, the proposed scheme is substantially less computationally expensive than the straightforward deployment of classical shock-capturing schemes, and thus is promising for high-fidelity DNS\/LES simulation of more complex practical engineering flows.<\/jats:p>","DOI":"10.1007\/s10915-025-02918-w","type":"journal-article","created":{"date-parts":[[2025,5,15]],"date-time":"2025-05-15T06:46:39Z","timestamp":1747291599000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Efficient Arbitrary-High-Order TENO Schemes with Local Adaptive Dissipation for Compressible Flow Simulation on Unstructured Meshes"],"prefix":"10.1007","volume":"104","author":[{"given":"Tian","family":"Liang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Shyy","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8979-8415","authenticated-orcid":false,"given":"Lin","family":"Fu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,5,15]]},"reference":[{"key":"2918_CR1","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1063\/1.1699639","volume":"21","author":"NJ Von","year":"1950","unstructured":"Von, N.J., Richtmyer, R.: A method for the numerical calculation of hydrodynamic shocks. 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