Spectral Difference Method with a Posteriori Limiting: III: Navier–Stokes Equations with Arbitrary High-Order Accuracy
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ID: 315979
2026
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Abstract
Abstract We incorporate an arbitrarily high-order method for the Laplacian operator into the Spectral Difference method (SD). The resulting method is capable of capturing shocks thanks to its a posteriori limiting methodology, and therefore it is able to remain stable in scenarios in which the dissipative scales (viscous and diffusive) are not properly described. Moreover, it is capable of capturing these scales at lower resolution compared to lower-order methods and therefore attains convergence at lower resolution. We show that the method at hand has exponential convergence when describing smooth solutions and is able to recover a high-order solution when solving the dissipative scales.
| Reference Key |
openalex_W7163704177
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|---|---|
| Authors | David A Velasco Romero, Romain Teyssier |
| Journal | monthly notices of the royal astronomical society |
| Year | 2026 |
| DOI |
10.1093/mnras/stag1031
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| URL | |
| Keywords | Keywords not found |
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