Abstract
The paper addresses a simple numerical method for calculating two-dimensional gas dynamics problems on Cartesian meshes with dynamic local refinement. For multilevel local adaptation, several mesh-related algorithms are proposed based on quadric trees and recursive functions. A global analyzer of the computed solution is developed on the wavelet-based decompositions. To project the numerical solution between different mesh levels a procedure is proposed for cell function reconstruction based on the WENO-approach. Different ways of the parallel realization for such dynamic mesh structures are discussed.
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Merkulov, K. (2015). Wavelet-Based Local Mesh Adaptation with Application to Gas Dynamics. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2015. Lecture Notes in Computer Science(), vol 9251. Springer, Cham. https://doi.org/10.1007/978-3-319-21909-7_41
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DOI: https://doi.org/10.1007/978-3-319-21909-7_41
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