The paper analyzes the accuracy of the SD-RT method for solving the transport equation on regular triangular meshes. The key findings are:
This behavior is proved theoretically for p=1 and demonstrated numerically for p=1, 2, 3. The analysis relies on studying the properties of the scheme's truncation error and its relation to the co-kernel of the scheme's matrix.
The paper also shows that for the case where the velocity is not parallel to the mesh, the SD-RT(1) scheme achieves second-order accuracy in the long-time simulation.
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by Pavel Bakhva... klo arxiv.org 04-17-2024
https://arxiv.org/pdf/2404.10391.pdfSyvällisempiä Kysymyksiä